Question 1

The ____________________ measures the margin of relative change in the dependent variable.

Accepted Answer

The answer of The ____________________ measures the margin of relative...

Question 2

Consider the following data:  
a.Calculate the covariance and the coefficient of correlation for the sample.
b.What do these statistics tell you about the relationship between x and y?

Accepted Answer

The answer of Consider the following data:  
a.Calculate the...

Question 3

Which of the following characteristics does a histogram help you identify?
A)The shape of distribution.
B)The approximate center of a distribution.
C)The amount of spread in a distribution.
D)All of these choices are true.

Accepted Answer

A histogram helps identify all of these characteristics: the shape of distribution, the approximate center of a distribution, and the amount of spread in a distribution.

Question 4

Given the following sample data:  ​ 
a.Calculate the covariance and the correlation coefficient.
b.Comment on the relationship between x and y.
c.Determine the least squares line.
d.Draw the scatter diagram and plot the least squares line.

Accepted Answer

The answer of Given the following sample data:  ​...

Question 5

Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below:  ​ ​
-{Longevity and Salary Narrative} Draw the scatter diagram and plot the least squares line.

Accepted Answer

The answer of  Longevity and Salary A sample of...

Question 6

When two variables x and y are linearly related,it does not necessarily mean that x ____________________ y.

Accepted Answer

The answer of When two variables x and y are...

Question 7

In the equation of the least squares line, is the ____________________ and b₁ is the ____________________.

Accepted Answer

The answer of In the equation of the least squares...

Question 8

Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below:  ​ ​
-{Longevity and Salary Narrative} Determine the least squares line,and use it to estimate the value of y for x = 6.

Accepted Answer

The answer of  Longevity and Salary A sample of...

Question 9

The y-intercept of the least squares line is the point on the line when ________________ = 0.

Accepted Answer

The answer of The y-intercept of the least squares line...

Question 10

The coefficient of correlation and the least squares line both describe the relationship between two interval variables.

Accepted Answer

Both the coefficient of correlation and the least squares line are used to describe the relationship between two interval variables. The coefficient of correlation measures the strength and direction of the linear relationship between the variables, while the least squares line is used to model the relationship and make predictions based on the data.

Question 11

The ____________________ of a linear relationship is hard to interpret from the covariance,but it is easy to interpret from the correlation.

Accepted Answer

The answer of The ____________________ of a linear relationship is...

Question 12

The coefficient of determination is the percentage of variation in the ____________________ variable that is explained by the variation in the ____________________ variable.

Accepted Answer

The answer of The coefficient of determination is the percentage...

Question 13

Graphical and numerical techniques,such as histograms and least squares lines provide identical information.

Accepted Answer

Graphical techniques, such as histograms, provide visual representations of data, while numerical techniques, such as least squares lines, use mathematical calculations to summarize data. While both techniques can provide information about the distribution of data and relationships between variables, they do not provide identical information.

Question 14

Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below:  ​ ​
-{Longevity and Salary Narrative}
a.Calculate the coefficient of correlation,and comment on the relationship between x and y.
b.Give a possible reason that the correlation is negative.

Accepted Answer

The answer of  Longevity and Salary A sample of...

Question 15

The precision provided by the numerical techniques (mean,median,and standard deviation)provides more useful information than graphical techniques (histograms and box plots)alone.

Accepted Answer

Numerical techniques provide more precise and specific information about the distribution of data, including central tendency and variability, while graphical techniques provide a visual representation that can be useful for identifying patterns and outliers.

Question 16

Statisticians typically apply graphical techniques as a first step in a data analysis because we first need to know the shape of the distribution.

Accepted Answer

Graphical techniques, such as histograms or box plots, can help determine the shape of the distribution and identify any potential outliers or patterns in the data. This information is important to guide further statistical analyses and modeling.

Question 17

The magnitude of the correlation measures the ____________________ of a linear relationship.

Accepted Answer

The answer of The magnitude of the correlation measures the...

Question 18

How is the value of the correlation coefficient r affected in each of the following cases?
a.Each x value and y is multiplied by 4.
b.Each x value is switched with the corresponding y value.
c.Each x value is increased by 2.

Accepted Answer

The answer of How is the value of the correlation...

Question 19

The method used to find the best fitting line through the observations is called the ____________________ method.

Accepted Answer

The answer of The method used to find the best...

Question 20

Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below:  ​ ​
-{Longevity and Salary Narrative}
a.Calculate and interpret the covariance between x and y.
b.Give a possible reason that the covariance is negative.

Accepted Answer

The answer of  Longevity and Salary A sample of...

Quiz 4: Numerical Descriptive Techniques

The ____________________ measures the margin of relative change in the dependent variable.

Consider the following data: a.Calculate the covariance and the coefficient of correlation for the sample. b.What do these statistics tell you about the relationship between x and y?

Which of the following characteristics does a histogram help you identify?

Given the following sample data: a.Calculate the covariance and the correlation coefficient. b.Comment on the relationship between x and y. c.Determine the least squares line. d.Draw the scatter diagram and plot the least squares line.

Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below: -{Longevity and Salary Narrative} Draw the scatter diagram and plot the least squares line.

When two variables x and y are linearly related,it does not necessarily mean that x ____________________ y.

In the equation of the least squares line, is the and b₁ is the .

Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below: -{Longevity and Salary Narrative} Determine the least squares line,and use it to estimate the value of y for x = 6.

The y-intercept of the least squares line is the point on the line when ________________ = 0.

The coefficient of correlation and the least squares line both describe the relationship between two interval variables.

The ____________________ of a linear relationship is hard to interpret from the covariance,but it is easy to interpret from the correlation.

The coefficient of determination is the percentage of variation in the variable that is explained by the variation in the variable.

Graphical and numerical techniques,such as histograms and least squares lines provide identical information.

The precision provided by the numerical techniques (mean,median,and standard deviation)provides more useful information than graphical techniques (histograms and box plots)alone.

Statisticians typically apply graphical techniques as a first step in a data analysis because we first need to know the shape of the distribution.

The magnitude of the correlation measures the ____________________ of a linear relationship.

How is the value of the correlation coefficient r affected in each of the following cases? a.Each x value and y is multiplied by 4. b.Each x value is switched with the corresponding y value. c.Each x value is increased by 2.

The method used to find the best fitting line through the observations is called the ____________________ method.

Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below: -{Longevity and Salary Narrative} a.Calculate and interpret the covariance between x and y. b.Give a possible reason that the covariance is negative.

Quiz 4: Numerical Descriptive Techniques

The ____________________ measures the margin of relative change in the dependent variable.

Consider the following data: a.Calculate the covariance and the coefficient of correlation for the sample. b.What do these statistics tell you about the relationship between x and y?

Which of the following characteristics does a histogram help you identify?

Given the following sample data: ​ a.Calculate the covariance and the correlation coefficient. b.Comment on the relationship between x and y. c.Determine the least squares line. d.Draw the scatter diagram and plot the least squares line.

Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below: ​ ​ -{Longevity and Salary Narrative} Draw the scatter diagram and plot the least squares line.

When two variables x and y are linearly related,it does not necessarily mean that x ____________________ y.

In the equation of the least squares line, is the ____________________ and b1 is the ____________________.

Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below: ​ ​ -{Longevity and Salary Narrative} Determine the least squares line,and use it to estimate the value of y for x = 6.

The y-intercept of the least squares line is the point on the line when ________________ = 0.

The coefficient of correlation and the least squares line both describe the relationship between two interval variables.

The ____________________ of a linear relationship is hard to interpret from the covariance,but it is easy to interpret from the correlation.

The coefficient of determination is the percentage of variation in the ____________________ variable that is explained by the variation in the ____________________ variable.

Graphical and numerical techniques,such as histograms and least squares lines provide identical information.

The precision provided by the numerical techniques (mean,median,and standard deviation)provides more useful information than graphical techniques (histograms and box plots)alone.

Statisticians typically apply graphical techniques as a first step in a data analysis because we first need to know the shape of the distribution.

The magnitude of the correlation measures the ____________________ of a linear relationship.

How is the value of the correlation coefficient r affected in each of the following cases? a.Each x value and y is multiplied by 4. b.Each x value is switched with the corresponding y value. c.Each x value is increased by 2.

The method used to find the best fitting line through the observations is called the ____________________ method.

Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below: ​ ​ -{Longevity and Salary Narrative} a.Calculate and interpret the covariance between x and y. b.Give a possible reason that the covariance is negative.

Given the following sample data: a.Calculate the covariance and the correlation coefficient. b.Comment on the relationship between x and y. c.Determine the least squares line. d.Draw the scatter diagram and plot the least squares line.

Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below: -{Longevity and Salary Narrative} Draw the scatter diagram and plot the least squares line.

In the equation of the least squares line, is the and b₁ is the .

Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below: -{Longevity and Salary Narrative} Determine the least squares line,and use it to estimate the value of y for x = 6.

The coefficient of determination is the percentage of variation in the variable that is explained by the variation in the variable.

Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below: -{Longevity and Salary Narrative} a.Calculate and interpret the covariance between x and y. b.Give a possible reason that the covariance is negative.