تكلم مع الذكاء الاصطناعي
Deck 2: The Simple Regression Model
ملء الشاشة (f)
سؤال
سؤال
سؤال
What does the equation 
denote if the regression equation is 
?
A)The explained sum of squares
B)The total sum of squares
C) The sample regression function
D) The population regression function
denote if the regression equation is ?A)The explained sum of squares
B)The total sum of squares
C) The sample regression function
D) The population regression function
سؤال
What is the estimated value of the slope parameter when the regression equation, y = 
0 + 
1x1 + u passes through the origin?
A)
B)
C)
D)
0 + 1x1 + u passes through the origin?A)
B)
C)
D)
سؤال
The sample correlation between xi and yi is denoted by _____.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Which of the following is a nonlinear regression model?
A)y =
0 + 
1x1/2 + u
B)log y =
0 + 
1log x +u
C) y = 1 / (
0 +
1x) + u
D) y =
0 +
1x + u
A)y =
0 + 1x1/2 + uB)log y =
0 + 1log x +uC) y = 1 / (
0 + 1x) + uD) y =
0 + 1x + u سؤال
سؤال
Consider the following regression model: y = 
0 + 
1x1 + u. Which of the following is a property of Ordinary Least Square (OLS) estimates of this model and their associated statistics?
A)The sum, and therefore the sample average of the OLS residuals, is positive.
B)The sum of the OLS residuals is negative.
C) The sample covariance between the regressors and the OLS residuals is positive.
D) The point (
) always lies on the OLS regression line.
0 + 1x1 + u. Which of the following is a property of Ordinary Least Square (OLS) estimates of this model and their associated statistics?A)The sum, and therefore the sample average of the OLS residuals, is positive.
B)The sum of the OLS residuals is negative.
C) The sample covariance between the regressors and the OLS residuals is positive.
D) The point (
) always lies on the OLS regression line. سؤال
سؤال
سؤال
The explained sum of squares for the regression function, 
, is defined as _____.
A)
B)
C)
D)
, is defined as _____.A)
B)
C)
D)
سؤال
In the equation 
, what is the estimated value of 
?
A)
B)
C)
D)
, what is the estimated value of ?A)
B)
C)
D)
سؤال
In the equation 
, c denotes consumption and i denotes income. What is the residual for the 5th observation if 
=$500 and 
=$475?
A)$975
B)$300
C) $25
D) $50
, c denotes consumption and i denotes income. What is the residual for the 5th observation if =$500 and =$475?A)$975
B)$300
C) $25
D) $50
سؤال
سؤال
سؤال
In the equation 
is the _____.
A)dependent variable
B)independent variable
C) slope parameter
D) intercept parameter
is the _____.A)dependent variable
B)independent variable
C) slope parameter
D) intercept parameter
سؤال
سؤال
سؤال
سؤال
سؤال
سؤال
سؤال
سؤال
سؤال
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ملء الشاشة (f)
Deck 2: The Simple Regression Model
1
A dependent variable is also known as a(n) _____.
A)explanatory variable
B)control variable
C) predictor variable
D) response variable
A)explanatory variable
B)control variable
C) predictor variable
D) response variable
D
Explanation: A dependent variable is known as a response variable.
Explanation: A dependent variable is known as a response variable.
2
If a change in variable x causes a change in variable y, variable x is called the _____.
A)dependent variable
B)explained variable
C) explanatory variable
D) response variable
A)dependent variable
B)explained variable
C) explanatory variable
D) response variable
C
Explanation: If a change in variable x causes a change in variable y, variable x is called the independent variable or the explanatory variable.
Explanation: If a change in variable x causes a change in variable y, variable x is called the independent variable or the explanatory variable.
3
What does the equation denote if the regression equation is ?
A)The explained sum of squares
B)The total sum of squares
C) The sample regression function
D) The population regression function
denote if the regression equation is ?A)The explained sum of squares
B)The total sum of squares
C) The sample regression function
D) The population regression function
C
Explanation: The equation
denotes the sample regression function of the given regression model.
Explanation: The equation
denotes the sample regression function of the given regression model. 4
What is the estimated value of the slope parameter when the regression equation, y = 0 + 1x1 + u passes through the origin?
A)
B)
C)
D)
0 + 1x1 + u passes through the origin?A)
B)
C)
D)
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5
The sample correlation between xi and yi is denoted by _____.
A)
B)
C)
D)
A)
B)
C)
D)
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6
Which of the following is a nonlinear regression model?
A)y = 0 + 1x1/2 + u
B)log y = 0 + 1log x +u
C) y = 1 / (
0 +
1x) + u
D) y =
0 +
1x + u
A)y =
0 + 1x1/2 + uB)log y =
0 + 1log x +uC) y = 1 / (
0 + 1x) + uD) y =
0 + 1x + u فتح الحزمة
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7
If xi and yi are positively correlated in the sample then the estimated slope is _____.
A)less than zero
B)greater than zero
C) equal to zero
D) equal to one
A)less than zero
B)greater than zero
C) equal to zero
D) equal to one
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8
Consider the following regression model: y = 0 + 1x1 + u. Which of the following is a property of Ordinary Least Square (OLS) estimates of this model and their associated statistics?
A)The sum, and therefore the sample average of the OLS residuals, is positive.
B)The sum of the OLS residuals is negative.
C) The sample covariance between the regressors and the OLS residuals is positive.
D) The point (
) always lies on the OLS regression line.
0 + 1x1 + u. Which of the following is a property of Ordinary Least Square (OLS) estimates of this model and their associated statistics?A)The sum, and therefore the sample average of the OLS residuals, is positive.
B)The sum of the OLS residuals is negative.
C) The sample covariance between the regressors and the OLS residuals is positive.
D) The point (
) always lies on the OLS regression line. فتح الحزمة
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9
A natural measure of the association between two random variables is the correlation coefficient.
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10
Which of the following is assumed for establishing the unbiasedness of Ordinary Least Square (OLS) estimates?
A)The error term has an expected value of 1 given any value of the explanatory variable.
B)The regression equation is linear in the explained and explanatory variables.
C) The sample outcomes on the explanatory variable are all the same value.
D) The error term has the same variance given any value of the explanatory variable.
A)The error term has an expected value of 1 given any value of the explanatory variable.
B)The regression equation is linear in the explained and explanatory variables.
C) The sample outcomes on the explanatory variable are all the same value.
D) The error term has the same variance given any value of the explanatory variable.
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11
The explained sum of squares for the regression function, , is defined as _____.
A)
B)
C)
D)
, is defined as _____.A)
B)
C)
D)
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12
In the equation , what is the estimated value of ?
A)
B)
C)
D)
, what is the estimated value of ?A)
B)
C)
D)
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13
In the equation , c denotes consumption and i denotes income. What is the residual for the 5th observation if =$500 and =$475?
A)$975
B)$300
C) $25
D) $50
, c denotes consumption and i denotes income. What is the residual for the 5th observation if =$500 and =$475?A)$975
B)$300
C) $25
D) $50
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14
In the regression of y on x, the error term exhibits heteroskedasticity if _____.
A)it has a constant variance
B)Var(y|x) is a function of x
C) x is a function of y
D) y is a function of x
A)it has a constant variance
B)Var(y|x) is a function of x
C) x is a function of y
D) y is a function of x
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15
If the residual sum of squares (SSR) in a regression analysis is 66 and the total sum of squares (SST) is equal to 90, what is the value of the coefficient of determination?
A)0.73
B)0.55
C) 0.27
D) 1.2
A)0.73
B)0.55
C) 0.27
D) 1.2
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16
In the equation is the _____.
A)dependent variable
B)independent variable
C) slope parameter
D) intercept parameter
is the _____.A)dependent variable
B)independent variable
C) slope parameter
D) intercept parameter
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17
If the total sum of squares (SST) in a regression equation is 81, and the residual sum of squares (SSR) is 25, what is the explained sum of squares (SSE)?
A)64
B)56
C) 32
D) 18
A)64
B)56
C) 32
D) 18
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18
In a regression equation, changing the units of measurement of only the independent variable does not affect the _____.
A)dependent variable
B)slope
C) intercept
D) error term
A)dependent variable
B)slope
C) intercept
D) error term
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19
Simple regression is an analysis of correlation between two variables.
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20
The error term in a regression equation is said to exhibit homoskedasticty if _____.
A)it has zero conditional mean
B)it has the same variance for all values of the explanatory variable
C) it has the same value for all values of the explanatory variable
D) if the error term has a value of one given any value of the explanatory variable
A)it has zero conditional mean
B)it has the same variance for all values of the explanatory variable
C) it has the same value for all values of the explanatory variable
D) if the error term has a value of one given any value of the explanatory variable
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21
R2 is the ratio of the explained variation compared to the total variation.
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22
There are n-1 degrees of freedom in Ordinary Least Square residuals.
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23
The sample covariance between the regressors and the Ordinary Least Square (OLS) residuals is always positive.
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24
In general, the constant that produces the smallest sum of squared deviations is always the sample average.
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25
The variance of the slope estimator increases as the error variance decreases.
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