Question 1

In a regression analysis, if SST = 500 and SSE = 300, then the coefficient of determination is

Accepted Answer

A)  .20. 
B)  .67. 
C)  .60. 
D)  .40. 
A)  .20. 
B)  .67. 
C)  .60. 
D)  .40.

Question 2

The standard error of the estimate is the

Accepted Answer

A)  standard deviation of t. 
B)  square root of SSE. 
C)  square root of SST. 
D)  square root of MSE. 
A)  standard deviation of t. 
B)  square root of SSE. 
C)  square root of SST. 
D)  square root of MSE.

Question 3

In a regression analysis, the standard error of the estimate is determined to be 4.In this situation, the MSE

Accepted Answer

A)  is 2. 
B)  is 16. 
C)  depends on the sample size. 
D)  requires a known SSE. 
A)  is 2. 
B)  is 16. 
C)  depends on the sample size. 
D)  requires a known SSE.

Question 4

The value of the coefficient of correlation (r)

Accepted Answer

A)  can be equal to the value of the coefficient of determination (r2). 
B)  can never be equal to the value of the coefficient of determination (r2). 
C)  is always smaller than the value of the coefficient of determination (r2). 
D)  is always larger than the value of the coefficient of determination (r2). 
A)  can be equal to the value of the coefficient of determination (r2). 
B)  can never be equal to the value of the coefficient of determination (r2). 
C)  is always smaller than the value of the coefficient of determination (r2). 
D)  is always larger than the value of the coefficient of determination (r2).

Question 5

The following information regarding a dependent variable (y) and an independent variable (x) is provided. $$\begin{array} { l l } 
y & x \
4 & 2 \
3 & 1 \
4 & 4 \
6 & 3 \
8 & 5
\end{array}$$ 
 SSE = 6
SST = 16
 
The least squares estimate of the y-intercept is

Accepted Answer

A)  1. 
B)  2. 
C)  3. 
D)  4. 
A)  1. 
B)  2. 
C)  3. 
D)  4.

Question 6

If the coefficient of correlation is .4, the percentage of variation in the dependent variable explained by the variation in the independent variable is

Accepted Answer

A)  40%. 
B)  16%. 
C)  4%. 
D)  63%. 
A)  40%. 
B)  16%. 
C)  4%. 
D)  63%.

Question 7

You are given the following information about y and x. $$\begin{array} { l l } 
\text { Dependent Variable } ( y ) & \text { Independent Variable } ( x ) \
12 & 4 \
3 & 6 \
7 & 2 \
6 & 4
\end{array}$$  
 The sample correlation coefficient equals

Accepted Answer

A)  -.4364. 
B)  .4364. 
C)  -.1905. 
D)  .1905. 
A)  -.4364. 
B)  .4364. 
C)  -.1905. 
D)  .1905.

Question 8

The following data represent the number of flash drives sold per day at a local computer shop and their prices. $$\begin{array}{l}
\text { Price } ( x ) \quad \text { Units Sold } ( y )\
\begin{array} { l l } 
\$ 3.4 & 3 \
3.6 & 4 \
3.2 & 6 \
3.5 & 5 \
3.0 & 9 \
3.8 & 2 \
4.0 & 1
\end{array}
\end{array}$$ ​
​a.Perform an F test and determine if the price and the number of flash drives sold are related. Let α = .01.
b.Perform a t test and determine if the price and the number of flash drives sold are related. Let α = .01.

Accepted Answer

a.F = 29.62; p-value < .01; (E

Question 9

The following information regarding a dependent variable y and an independent variable x is provided: $$\begin{array} { l l } 
\Sigma x = 90 & \sum \left( y - \frac { y } { ) } \right) ( x - x ) = - 156 \
\Sigma y = 340 & \Sigma \left( x - \frac { x } { 2 } \right) ^ { 2 } = 234 \
n = 4 & \sum ( y - y ) ^ { 2 } = 1974 \
\mathrm { SSR } = 104 &
\end{array}$$   The coefficient of correlation is

Accepted Answer

A)  -.2295. 
B)  .2295. 
C)  .0572. 
D)  -.0572. 
A)  -.2295. 
B)  .2295. 
C)  .0572. 
D)  -.0572.

Question 10

The following data represent the number of flash drives sold per day at a local computer shop and their prices. $$\begin{array}{l}
\text { Price } ( x ) \quad \text { Units Sold } ( y )\
\begin{array} { l l } 
\$ 34 & 3 \
36 & 4 \
32 & 6 \
35 & 5 \
30 & 9 \
38 & 2 \
40 & 1
\end{array}
\end{array}$$ ​
​a.Develop a least squares regression line and explain what the slope of the line indicates.
b.Compute the coefficient of determination and comment on the strength of relationship between x and y.

Accepted Answer

a. @#IMG-DLM& = 29.7857 - .7286x
The slope indicat

Question 11

In regression and correlation analysis, if SSE and SST are known, then with this information the

Accepted Answer

A)  coefficient of determination can be computed. 
B)  slope of the regression line can be computed. 
C)  y-intercept can be computed. 
D)  x-intercept can be computed. 
A)  coefficient of determination can be computed. 
B)  slope of the regression line can be computed. 
C)  y-intercept can be computed. 
D)  x-intercept can be computed.

Question 12

Which of the following is correct?

Accepted Answer

A)   SSE= SSR + SST 
B)  SSR = SSE+SST 
C)   SST= SSR + SSE 
D)  SST = SSR - SSE 
A)   SSE= SSR + SST 
B)  SSR = SSE+SST 
C)   SST= SSR + SSE 
D)  SST = SSR - SSE

Question 13

In simple linear regression, r2 is the​

Accepted Answer

A)  ​mean square error. 
B)  ​correlation coefficient. 
C)  squared residual. 
D)  ​coefficient of determination. 
A)  ​mean square error. 
B)  ​correlation coefficient. 
C)  squared residual. 
D)  ​coefficient of determination.

Question 14

If there is a very weak correlation between two variables, then the coefficient of determination must be

Accepted Answer

A)  much larger than 1, if the correlation is positive. 
B)  much smaller than -1, if the correlation is negative. 
C)  equal to one. 
D)  closer or equal to zero. 
A)  much larger than 1, if the correlation is positive. 
B)  much smaller than -1, if the correlation is negative. 
C)  equal to one. 
D)  closer or equal to zero.

Question 15

If the coefficient of correlation is -.4, then the slope of the regression line

Accepted Answer

A)  must also be -.4. 
B)  can be either negative or positive. 
C)  must be negative. 
D)  must be .16. 
A)  must also be -.4. 
B)  can be either negative or positive. 
C)  must be negative. 
D)  must be .16.

Question 16

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). $$\begin{array} { l l } 
\Sigma x = 90 & \sum \left( y - \frac { y } { ) } \right) ( x - x ) = 466 \
\Sigma y = 170 & \Sigma ( x - ) ^ { 2 } = 234 \
n = 10 & \Sigma \left( y - y ^ { 2 } = 1434 \right. \
\mathrm { SSE } = 505.98 &
\end{array}$$  The least squares estimate of the slope or b1 equals

Accepted Answer

A)  .923. 
B)  1.991. 
C)  -1.991. 
D)  -.923. 
A)  .923. 
B)  1.991. 
C)  -1.991. 
D)  -.923.

Question 17

For the following data, the value of SSE = 18. $$\begin{array} { l l } 
\text { Dependent Variable } ( y ) & \text { Independent Variable } ( x ) \
15 & 4 \
17 & 6 \
23 & 2 \
17 & 4
\end{array}$$   The y-intercept is

Accepted Answer

A)  -1.5. 
B)  24. 
C)  .50. 
D)  -.71. 
A)  -1.5. 
B)  24. 
C)  .50. 
D)  -.71.

Question 18

In simple linear regression analysis, which of the following is not true?

Accepted Answer

A)  The F test and the t test yield the same conclusion. 
B)  The F test and the t test may or may not yield the same conclusion. 
C)  The relationship between x and y is represented by a straight line. 
D)  The value of F = t2. 
A)  The F test and the t test yield the same conclusion. 
B)  The F test and the t test may or may not yield the same conclusion. 
C)  The relationship between x and y is represented by a straight line. 
D)  The value of F = t2.

Question 19

The equation that describes how the dependent variable (y) is related to the independent variable (x) is called

Accepted Answer

A)  the correlation model. 
B)  the regression model. 
C)  correlation analysis. 
D)  estimation analysis. 
A)  the correlation model. 
B)  the regression model. 
C)  correlation analysis. 
D)  estimation analysis.

In a regression analysis, if SST = 500 and SSE = 300, then the coefficient of determination is

The standard error of the estimate is the

In a regression analysis, the standard error of the estimate is determined to be 4.In this situation, the MSE

The value of the coefficient of correlation (r)

The following information regarding a dependent variable (y) and an independent variable (x) is provided. y x 4 2 3 1 4 4 6 3 8 5 SSE = 6 SST = 16 The least squares estimate of the y-intercept is

If the coefficient of correlation is .4, the percentage of variation in the dependent variable explained by the variation in the independent variable is

You are given the following information about y and x. Dependent Variable (y) Independent Variable (x) 12 4 3 6 7 2 6 4 The sample correlation coefficient equals

The following information regarding a dependent variable y and an independent variable x is provided: \Sigmax=90 y- (x-x)=-156 \Sigmay=340 \Sigma=234 n=4 (y-y=1974 =104 The coefficient of correlation is

In regression and correlation analysis, if SSE and SST are known, then with this information the

Which of the following is correct?

In simple linear regression, r² is the

If there is a very weak correlation between two variables, then the coefficient of determination must be

If the coefficient of correlation is -.4, then the slope of the regression line

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). \Sigmax=90 y- (x-x)=466 \Sigmay=170 \Sigma(x-=234 n=10 \Sigma y-=1434 =505.98 The least squares estimate of the slope or b₁ equals

For the following data, the value of SSE = 18. Dependent Variable (y) Independent Variable (x) 15 4 17 6 23 2 17 4 The y-intercept is

In simple linear regression analysis, which of the following is not true?

The equation that describes how the dependent variable (y) is related to the independent variable (x) is called

Data and Statistics

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Descriptive Statistics: Numerical

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

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Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

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Exam 14: Simple Linear Regression

In a regression analysis, if SST = 500 and SSE = 300, then the coefficient of determination is

The standard error of the estimate is the

In a regression analysis, the standard error of the estimate is determined to be 4.In this situation, the MSE

The value of the coefficient of correlation (r)

The following information regarding a dependent variable (y) and an independent variable (x) is provided. y x 4 2 3 1 4 4 6 3 8 5 SSE = 6 SST = 16 The least squares estimate of the y-intercept is

If the coefficient of correlation is .4, the percentage of variation in the dependent variable explained by the variation in the independent variable is

You are given the following information about y and x. Dependent Variable (y) Independent Variable (x) 12 4 3 6 7 2 6 4 The sample correlation coefficient equals

The following information regarding a dependent variable y and an independent variable x is provided: \Sigmax=90 y- (x-x)=-156 \Sigmay=340 \Sigma=234 n=4 (y-y=1974 =104 The coefficient of correlation is

In regression and correlation analysis, if SSE and SST are known, then with this information the

Which of the following is correct?

In simple linear regression, r2 is the​

If there is a very weak correlation between two variables, then the coefficient of determination must be

If the coefficient of correlation is -.4, then the slope of the regression line

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). \Sigmax=90 y- (x-x)=466 \Sigmay=170 \Sigma(x-=234 n=10 \Sigma y-=1434 =505.98 The least squares estimate of the slope or b1 equals

For the following data, the value of SSE = 18. Dependent Variable (y) Independent Variable (x) 15 4 17 6 23 2 17 4 The y-intercept is

In simple linear regression analysis, which of the following is not true?

The equation that describes how the dependent variable (y) is related to the independent variable (x) is called

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Multiple Regression

Filters

In simple linear regression, r² is the

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). \Sigmax=90 y- (x-x)=466 \Sigmay=170 \Sigma(x-=234 n=10 \Sigma y-=1434 =505.98 The least squares estimate of the slope or b₁ equals