Deck 9: Inference for Regression

Question 1

Use the following
Computer output from a regression analysis is provided.
?

-What is the sample slope for this model?

A) 72.909
B) 2.037
C) -0.5195
D) 0.1946

Answer 1

-0.5195

Question 2

Use the following
Computer output from a regression analysis is provided.
?

-What is the sample intercept for this model?

A) 72.909
B) 2.037
C) -0.5195
D) 0.1946

Answer 2

72.909

Question 3

Use the following
Computer output from a regression analysis is provided.
?

-What is the standard error of the sample slope?

A) 72.909
B) 2.037
C) -0.519
D) 0.1946

Answer 3

0.1946

Question 4

Use the following
Computer output from a regression analysis is provided.
?

-What is the p-value for testing if the slope in the population is different from zero?

A) 0.5195
B) 0.1946
C) p < 0.001
D) 0.008

Question 5

Use the following
Computer output from a regression analysis is provided.
?

-The sample size in this situation is n = 157. What are the degrees of freedom for constructing a confidence interval for, or performing a test about, the population slope?

A) 157
B) 156
C) 155
D) 153

Question 6

Use the following
Computer output from a regression analysis is provided.
‪
-The sample size in this situation is n = 157. Construct a 95% confidence interval for the population slope. Round the margin of error to four decimal places.

Question 7

Use the following
Computer output from a regression analysis is provided.
‪
-Use the p-value for testing if the slope in the population is different from zero (and a 5% significance level) to make a clear conclusion about the effectiveness of the model.

Question 8

Use the following to answer questions :
Computer output from a regression analysis is provided.


-What is the sample slope for this model?

A) 1.6370
B) 0.5453
C) 7.2960
D) 14.5444

Question 9

Use the following to answer questions :
Computer output from a regression analysis is provided.


-What is the sample intercept for this model?

A) 1.6370
B) 0.5453
C) 7.2960
D) 14.5444

Question 10

Use the following to answer questions :
Computer output from a regression analysis is provided.


-What is the standard error of the sample slope?

A) 1.6370
B) 0.5453
C) 7.2960
D) 14.5444

Question 11

Use the following to answer questions :
Computer output from a regression analysis is provided.


-What is the p-value for testing if the slope in the population is different from zero?

A) 0.502
B) 0.622
C) 0.5453
D) 0.00765

Question 12

Use the following to answer questions :
Computer output from a regression analysis is provided.


-The sample size in this situation is n = 20. What are the degrees of freedom for constructing a confidence interval, or performing a test about, the population slope?

A) 17
B) 18
C) 19
D) 20

Question 13

Use the following to answer questions :
Computer output from a regression analysis is provided.

-The sample size in this situation is n = 20. Construct a 95% confidence interval for the population slope. Round the margin of error to three decimal places.

Question 14

Use the following to answer questions :
Computer output from a regression analysis is provided.

-Use the p-value for testing if the slope in the population is different from zero (and a 5% significance level) to make a clear conclusion about the effectiveness of the model.

Question 15

The website for the Quantitative Environmental Learning Project (funded by the National Science Foundation) describes data they collected on the lengths and widths of Puget Sound Butter Clams. A scatterplot of the data (with the regression line) is provided.
Use the scatterplot to check each of the conditions for using a linear model with this data. Is using a linear model appropriate for these data?

Question 16

Use the following
Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm)


Predicted Values for New Observations


-Use the scatterplot to determine whether we should have any significant concerns about the conditions being met for using a linear model with these data. Explain briefly.

Question 17

Use the following
Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm)


Predicted Values for New Observations


-Use the fitted model to predict the foot length for someone whose arm is 30 cm long. Report your answer with two decimal places.

Question 18

Use the following
Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm)


Predicted Values for New Observations


-What is the estimated slope in this regression model? Interpret the slope in context.

Question 19

Use the following
Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm)


Predicted Values for New Observations


-What is the test statistic for a test of the slope? What is the p-value? What is the conclusion of the test, in context?

Question 20

Use the following
Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm)


Predicted Values for New Observations



-Use the ANOVA table to determine the overall sample size.

A) 13
B) 12
C) 11
D) 10

Question 21

Use the following
Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm)


Predicted Values for New Observations


-Construct a 90% confidence interval for the population slope.

Question 22

Use the following
Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm)


Predicted Values for New Observations


-Use the ANOVA table to compute and interpret R².

Question 23

Use the following
Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm)


Predicted Values for New Observations


-The correlation between foot length and forearm length is 0.7389. Compute and interpret R² for this regression model.

Question 24

Use the following
Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm)


Predicted Values for New Observations


-Use the ANOVA table to find the standard deviation of the error term.

Question 25

Use the following
Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm)


Predicted Values for New Observations


-Based on the output, provide and interpret a 95% confidence interval for the mean foot length for all individuals with a forearm that is 28 cm. long.

Question 26

Use the following
Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm)


Predicted Values for New Observations


-Based on the output, provide and interpret a 95% prediction interval for the foot length of a specific individual with a forearm that is 28 cm. long.

Question 27

Use the following
Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm)


Predicted Values for New Observations


-When conducting inference for the population slope, it is most common to test if the population slope is different from zero. However, there are other situations where a different test might be more interesting. For instance, it is often said that the length of the forearm is roughly the same as the length of the foot (see, for example, the movie Pretty Woman). What population slope is implied by this statement, and what would the hypotheses for testing the accuracy of this claim look like?

Question 28

Use the following
Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is GPA = 3.830 - 0.000919 FacebookFriends


-Use the scatterplot to determine whether we should have any strong concerns about the conditions being met for using a linear model with these data. Explain briefly.

Question 29

Use the following
Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is GPA = 3.830 - 0.000919 FacebookFriends


-Write down the equation of the least squares line and use it to predict the GPA for someone with 800 Facebook friends.

Question 30

Use the following
Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is GPA = 3.830 - 0.000919 FacebookFriends



-Use the information in the ANOVA table to determine the number of students included in the dataset.

A) 31
B) 30
C) 29
D) 28

Question 31

Use the following
Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is GPA = 3.830 - 0.000919 FacebookFriends


-Use the information in the ANOVA table to compute and interpret R². About 47% of the variability in GPA for students in this sample is explained by number of Facebook friends.

Question 32

Use the following
Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is GPA = 3.830 - 0.000919 FacebookFriends


-Is the linear model effective at predicting GPA? Use the information from the computer output and = 0.05. Include all details of the test.

Question 33

Use the following
Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is GPA = 3.830 - 0.000919 FacebookFriends


-Use the information in the computer output to compute the standard deviation of the error term.

Question 34

Use the following
Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is GPA = 3.830 - 0.000919 FacebookFriends


-Use the provided output to construct and interpret a 90% confidence interval for the mean GPA of all students with 800 Facebook friends.

Question 35

Use the following
Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is GPA = 3.830 - 0.000919 FacebookFriends


-Use the provided output to construct and interpret a 90% prediction interval for the GPA of a student with 800 Facebook friends.

Question 36

Use the following
Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is GPA = 3.830 - 0.000919 FacebookFriends


-Use the following output to identify and interpret a 95% interval for the mean GPA for all students with 500 Facebook friends.
‪

Question 37

Use the following
Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is GPA = 3.830 - 0.000919 FacebookFriends


-Use the following output to identify and interpret a 95% interval for the GPA of a single student with 500 Facebook friends.

Question 38

Use the following
Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is GPA = 3.830 - 0.000919 FacebookFriends


-The correlation between GPA and number of Facebook friends is -0.686. Use the correlation and = 0.05 to test for a linear association between GPA and number of Facebook friends. Include all details of the test.

Question 39

Use the following
Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is GPA = 3.830 - 0.000919 FacebookFriends


-The correlation between GPA and number of Facebook friends is -0.686. Use the correlation and = 0.05 to test for a negative linear association between GPA and number of Facebook friends. Include all details of the test.

Question 40

Use the following
Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is GPA = 3.830 - 0.000919 FacebookFriends


-Use the information in the computer output to compute the standard error of the slope, SE. Round the answer to six decimal places.

Question 41

Use the following
Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is GPA = 3.830 - 0.000919 FacebookFriends


-Compute the t test statistic for the slope.

Question 42

Use the following
Data were collected on the age (in years) and price (in thousands of dollars) of a random sample of 25 used Hyundai Elantras. A scatterplot of the data (with regression line) and computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Price = 15.3 - 1.71 Age

S = 1.37179 R-Sq = 88.9% R-Sq(adj) = 88.4%
Predicted Values for New Observations


-Use the scatterplot to determine whether we should have any serious concerns about the conditions being met for using a linear model with these data. Explain briefly.

Question 43

Use the following
Data were collected on the age (in years) and price (in thousands of dollars) of a random sample of 25 used Hyundai Elantras. A scatterplot of the data (with regression line) and computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Price = 15.3 - 1.71 Age

S = 1.37179 R-Sq = 88.9% R-Sq(adj) = 88.4%
Predicted Values for New Observations


-What is the estimated slope in this regression model? Interpret the slope in context.

Question 44

Use the following
Data were collected on the age (in years) and price (in thousands of dollars) of a random sample of 25 used Hyundai Elantras. A scatterplot of the data (with regression line) and computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Price = 15.3 - 1.71 Age

S = 1.37179 R-Sq = 88.9% R-Sq(adj) = 88.4%
Predicted Values for New Observations


-Write down the equation of the least squares line and use it to predict the price of a used Hyundai Elantra that is 6 years old.

Question 45

Use the following
Data were collected on the age (in years) and price (in thousands of dollars) of a random sample of 25 used Hyundai Elantras. A scatterplot of the data (with regression line) and computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Price = 15.3 - 1.71 Age

S = 1.37179 R-Sq = 88.9% R-Sq(adj) = 88.4%
Predicted Values for New Observations



-What are the degrees of freedom for constructing a confidence interval for, or performing a test about, the population slope?

A) 25
B) 24
C) 23
D) 22

Question 46

Use the following
Data were collected on the age (in years) and price (in thousands of dollars) of a random sample of 25 used Hyundai Elantras. A scatterplot of the data (with regression line) and computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Price = 15.3 - 1.71 Age

S = 1.37179 R-Sq = 88.9% R-Sq(adj) = 88.4%
Predicted Values for New Observations


-Use the computer output to test the slope to determine whether age is an effective predictor of price. Use = 0.05. Include all details of the test.

Question 47

Use the following
Data were collected on the age (in years) and price (in thousands of dollars) of a random sample of 25 used Hyundai Elantras. A scatterplot of the data (with regression line) and computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Price = 15.3 - 1.71 Age

S = 1.37179 R-Sq = 88.9% R-Sq(adj) = 88.4%
Predicted Values for New Observations


-Construct and interpret a 90% confidence interval for the population slope.

Question 48

Use the following
Data were collected on the age (in years) and price (in thousands of dollars) of a random sample of 25 used Hyundai Elantras. A scatterplot of the data (with regression line) and computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Price = 15.3 - 1.71 Age

S = 1.37179 R-Sq = 88.9% R-Sq(adj) = 88.4%
Predicted Values for New Observations


-What is the R² for this model? Interpret it in context.

Question 49

Use the following
Data were collected on the age (in years) and price (in thousands of dollars) of a random sample of 25 used Hyundai Elantras. A scatterplot of the data (with regression line) and computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Price = 15.3 - 1.71 Age

S = 1.37179 R-Sq = 88.9% R-Sq(adj) = 88.4%
Predicted Values for New Observations



-Based on the available information, what is the correlation between age and price (in thousands of dollars) of used Hyundai Elantras?

A) 0.943
B) -0.943
C) 9.43
D) -9.43

Question 50

Use the following
Data were collected on the age (in years) and price (in thousands of dollars) of a random sample of 25 used Hyundai Elantras. A scatterplot of the data (with regression line) and computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Price = 15.3 - 1.71 Age

S = 1.37179 R-Sq = 88.9% R-Sq(adj) = 88.4%
Predicted Values for New Observations


-Use the computer output to provide and interpret a 95% interval for the mean price of all 3 year old used Hyundai Elantras.

Question 51

Use the following
Data were collected on the age (in years) and price (in thousands of dollars) of a random sample of 25 used Hyundai Elantras. A scatterplot of the data (with regression line) and computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Price = 15.3 - 1.71 Age

S = 1.37179 R-Sq = 88.9% R-Sq(adj) = 88.4%
Predicted Values for New Observations


-Use the computer output to provide and interpret a 95% interval for the price of a 3-year-old used Hyundai Elantra.

Question 52

Use the following
Data were collected on the mileage (in thousands of miles) and price (in thousands of dollars) of a random sample of used Hyundai Elantras. A scatterplot of the data (with regression line), some summary statistics, and partial computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Price = 13.8 - 0.0912 Mileage


-Use the scatterplot to determine whether we should have any strong concerns about the conditions being met for using a linear model with these data. Explain briefly.

Question 53

Use the following
Data were collected on the mileage (in thousands of miles) and price (in thousands of dollars) of a random sample of used Hyundai Elantras. A scatterplot of the data (with regression line), some summary statistics, and partial computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Price = 13.8 - 0.0912 Mileage


-Write down the equation of the least squares line and use it to predict the price of a used Hyundai Elantra with 50,000 miles.

Question 54

Use the following
Data were collected on the mileage (in thousands of miles) and price (in thousands of dollars) of a random sample of used Hyundai Elantras. A scatterplot of the data (with regression line), some summary statistics, and partial computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Price = 13.8 - 0.0912 Mileage


-Use the provided output to compute and interpret R².

Question 55

Use the following
Data were collected on the mileage (in thousands of miles) and price (in thousands of dollars) of a random sample of used Hyundai Elantras. A scatterplot of the data (with regression line), some summary statistics, and partial computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Price = 13.8 - 0.0912 Mileage



-Use the information in the ANOVA table to determine the number of cars in the sample.

A) 25
B) 24
C) 23
D) 22

Question 56

Use the following
Data were collected on the mileage (in thousands of miles) and price (in thousands of dollars) of a random sample of used Hyundai Elantras. A scatterplot of the data (with regression line), some summary statistics, and partial computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Price = 13.8 - 0.0912 Mileage


-Is the linear model effective at predicting the price of used Hyundai Elantras? Use the information from the computer output and ‪ = 0.05. Include all details of the test.

Question 57

Use the following
Data were collected on the mileage (in thousands of miles) and price (in thousands of dollars) of a random sample of used Hyundai Elantras. A scatterplot of the data (with regression line), some summary statistics, and partial computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Price = 13.8 - 0.0912 Mileage


-Use the provided computer output to compute the standard deviation of the error term.

Question 58

Use the following
Data were collected on the mileage (in thousands of miles) and price (in thousands of dollars) of a random sample of used Hyundai Elantras. A scatterplot of the data (with regression line), some summary statistics, and partial computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Price = 13.8 - 0.0912 Mileage


-Use the provided output to construct and interpret a 95% interval for the mean price of all used Hyundai Elantras with 50,000 miles.

Question 59

Use the following
Data were collected on the mileage (in thousands of miles) and price (in thousands of dollars) of a random sample of used Hyundai Elantras. A scatterplot of the data (with regression line), some summary statistics, and partial computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Price = 13.8 - 0.0912 Mileage


-Use the provided output to construct and interpret a 95% interval for the price of a single used Hyundai Elantra with 50,000 miles.

Question 60

Use the following
Data were collected on the mileage (in thousands of miles) and price (in thousands of dollars) of a random sample of used Hyundai Elantras. A scatterplot of the data (with regression line), some summary statistics, and partial computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Price = 13.8 - 0.0912 Mileage


-Use the following computer output to identify and interpret a 95% interval for the mean price of all used Hyundai Elantras with 30,000 miles.

Question 61

Use the following
Data were collected on the mileage (in thousands of miles) and price (in thousands of dollars) of a random sample of used Hyundai Elantras. A scatterplot of the data (with regression line), some summary statistics, and partial computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Price = 13.8 - 0.0912 Mileage


-Use the following computer output to identify and interpret a 95% interval for the price of a single used Hyundai Elantra with 70,000 miles.
‪

Question 62

Use the following
Data were collected on the mileage (in thousands of miles) and price (in thousands of dollars) of a random sample of used Hyundai Elantras. A scatterplot of the data (with regression line), some summary statistics, and partial computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Price = 13.8 - 0.0912 Mileage


-Use the information in the computer output to compute the standard error of the slope, SE. Round your answer to four decimal places.

Question 63

Use the following
Data were collected on the mileage (in thousands of miles) and price (in thousands of dollars) of a random sample of used Hyundai Elantras. A scatterplot of the data (with regression line), some summary statistics, and partial computer output from a regression analysis are provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Price = 13.8 - 0.0912 Mileage


-Compute the t test statistic for the slope.

Question 64

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of 15 McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the total fat content (in grams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Computer output from a regression analysis and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.

-Use the scatterplot to determine whether we should have any major concerns about the conditions being met for using a linear model with these data. Explain briefly.

Question 65

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of 15 McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the total fat content (in grams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Computer output from a regression analysis and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.

-Write down the equation of the least squares line and use it to predict the number of calories in a menu item with 20 grams of fat.

Question 66

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of 15 McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the total fat content (in grams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Computer output from a regression analysis and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.

-What is the estimated slope in this regression model? Interpret the slope in context.

Question 67

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of 15 McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the total fat content (in grams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Computer output from a regression analysis and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.


-What are the degrees of freedom for constructing a confidence interval for, or performing a test about, the population slope?

A) 15
B) 14
C) 13
D) 12

Question 68

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of 15 McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the total fat content (in grams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Computer output from a regression analysis and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.

-Use the computer output, and = 0.05, to test the slope to determine whether total fat content (g) is an effective predictor of the number of calories. Include all details of the test.

Question 69

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of 15 McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the total fat content (in grams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Computer output from a regression analysis and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.

-Construct and interpret a 99% confidence interval for the population slope.

Question 70

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of 15 McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the total fat content (in grams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Computer output from a regression analysis and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.

-What is the R² for this model? Interpret it in context.

Question 71

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of 15 McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the total fat content (in grams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Computer output from a regression analysis and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.


-Based on the available information, what is the correlation between total fat content (g) and number of calories for McDonald's lunch/dinner menu items in this sample?

A) 0.93
B) -0.93
C) 9.3
D) -9.3

Question 72

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of 15 McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the total fat content (in grams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Computer output from a regression analysis and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.

-Use the computer output to provide and interpret a 95% interval for the mean number of calories in all McDonald's lunch/menu items with 25 total grams of fat.

Question 73

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of 15 McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the total fat content (in grams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Computer output from a regression analysis and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.

-Use the computer output to provide and interpret a 95% interval for the price of a lunch/dinner menu item with 25 total grams of fat.

Question 74

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of 15 McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the total fat content (in grams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Computer output from a regression analysis and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.

-The website also provides information about the sugar content in the menu items at McDonald's. For this sample of 15 lunch/dinner menu items, the correlation between number of calories and sugar content (in grams) is 0.35. Test, at the 5% significance level, if there is a significant linear association between number of calories and sugar content for McDonald's lunch/dinner menu items. Include all details of the test. Round the test statistic to three decimal places.

Question 75

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the sodium content (in milligrams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Some summary statistics, partial computer output from a regression analysis, and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Calories = 99.69 + 0.3698 Sodium (mg)


-Use the scatterplot to determine whether we should have any serious concerns about the conditions being met for using a linear model with these data. Explain briefly.

Question 76

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the sodium content (in milligrams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Some summary statistics, partial computer output from a regression analysis, and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Calories = 99.69 + 0.3698 Sodium (mg)


-Write down the equation of the least squares line and use it to predict the number of calories in a lunch/dinner menu item with 1,000 mg of sodium.

Question 77

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the sodium content (in milligrams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Some summary statistics, partial computer output from a regression analysis, and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Calories = 99.69 + 0.3698 Sodium (mg)


-What is the estimated slope in this regression model? Interpret the slope in context.

Question 78

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the sodium content (in milligrams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Some summary statistics, partial computer output from a regression analysis, and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Calories = 99.69 + 0.3698 Sodium (mg)



-Use the information in the ANOVA table to determine the number of menu items in the sample.

A) 15
B) 14
C) 13
D) 12

Question 79

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the sodium content (in milligrams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Some summary statistics, partial computer output from a regression analysis, and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Calories = 99.69 + 0.3698 Sodium (mg)


-Use the provided output to compute and interpret R².

Question 80

Use the following
In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of McDonald's lunch/dinner menu items (excluding sides and drinks) was obtained from their website. We wish to use the sodium content (in milligrams) to better understand the number of calories in the lunch/dinner menu items at McDonald's. Some summary statistics, partial computer output from a regression analysis, and a scatterplot (with regression line) of the data are provided.
Use two decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Calories = 99.69 + 0.3698 Sodium (mg)


-Is the linear model effective at predicting the number of calories in lunch/dinner menu items at McDonald's? Use the information from the computer output (and = 0.05) for this test. Include all details of the test.