Question 1

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 2

You are given the following information about y and x. ​   ​
The least squares estimate of the intercept or b0 equals

Accepted Answer

A)  1. 
B)  -2. 
C)  12. 
D)  4. 
A)  1. 
B)  -2. 
C)  12. 
D)  4.

Question 3

When interpreting a correlation coefficient of -.95, you would say that there is a _____ linear relationship between x and y.

Accepted Answer

A)  strong positive 
B)  weak positive 
C)  weak negative 
D)  strong negative 
A)  strong positive 
B)  weak positive 
C)  weak negative 
D)  strong negative

Question 4

You are given the following information about y and x.   ​ The coefficient of determination equals

Accepted Answer

A)  0. 
B)  -1. 
C)  +1. 
D)  -.5. 
A)  0. 
B)  -1. 
C)  +1. 
D)  -.5.

Question 5

You are given the following information about y and x.   ​ The sample correlation coefficient equals

Accepted Answer

A)  0. 
B)  +1. 
C)  -1. 
D)  -.5. 
A)  0. 
B)  +1. 
C)  -1. 
D)  -.5.

Question 6

You are given the following information about y and x.   ​ The least squares estimate of the intercept or b0 equals

Accepted Answer

A)  1. 
B)  -1. 
C)  -10.75. 
D)  10.75. 
A)  1. 
B)  -1. 
C)  -10.75. 
D)  10.75.

Question 7

You are given the following information about y and x.   ​ The point estimate of y when x = 2 is

Accepted Answer

A)  -10. 
B)  10. 
C)  -8. 
D)  8. 
A)  -10. 
B)  10. 
C)  -8. 
D)  8.

Question 8

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 9

In a regression analysis, if SSE =600 and SSR = 300, then the coefficient of determination is

Accepted Answer

A)  .600. 
B)  .333. 
C)  .667. 
D)  .500. 
A)  .600. 
B)  .333. 
C)  .667. 
D)  .500.

Question 10

The following information regarding a dependent variable y and an independent variable x is provided:   ​ The slope of the regression equation is

Accepted Answer

A)  -.667. 
B)  .667. 
C)  100. 
D)  -100. 
A)  -.667. 
B)  .667. 
C)  100. 
D)  -100.

Question 11

?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 12

The following information regarding a dependent variable (y) and an independent variable (x) is provided.   ​ SSE = 1.9
SST = 6.8
​
The coefficient of determination is

Accepted Answer

A)  .8489. 
B)  -.7206. 
C)  .7206. 
D)  .375. 
A)  .8489. 
B)  -.7206. 
C)  .7206. 
D)  .375.

Question 13

If the coefficient of correlation is a negative value, then the

Accepted Answer

A)  intercept of the regression line must also be positive. 
B)  coefficient of determination can be either a negative or a positive value, depending on the slope. 
C)  regression equation could have either a positive or a negative slope. 
D)  slope of the regression line must be negative. 
A)  intercept of the regression line must also be positive. 
B)  coefficient of determination can be either a negative or a positive value, depending on the slope. 
C)  regression equation could have either a positive or a negative slope. 
D)  slope of the regression line must be negative.

Question 14

If the coefficient of correlation is .80, then the coefficient of determination

Accepted Answer

A)  is also .80. 
B)  is either .64 or -.64. 
C)  will be -.80. 
D)  must be .64. 
A)  is also .80. 
B)  is either .64 or -.64. 
C)  will be -.80. 
D)  must be .64.

Question 15

Given the following regression source table, is the model significant at the .05 level using the critical value approach?   ​

Accepted Answer

Yes, the calculated

Question 16

In a regression and correlation analysis, if r2 = 1, then

Accepted Answer

A)  SSE must also be equal to one. 
B)  SSE must be equal to zero. 
C)  SSE can be any positive value. 
D)  SSE must be negative. 
A)  SSE must also be equal to one. 
B)  SSE must be equal to zero. 
C)  SSE can be any positive value. 
D)  SSE must be negative.

Question 17

In regression analysis, the unbiased estimate of the variance is

Accepted Answer

A)  coefficient of correlation. 
B)  coefficient of determination. 
C)  mean square error. 
D)  slope of the regression equation. 
A)  coefficient of correlation. 
B)  coefficient of determination. 
C)  mean square error. 
D)  slope of the regression equation.

Question 18

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 19

A regression analysis between demand (y in 1000 units) and price (x in dollars) resulted in the following equation: ​   = 9 - 4x
​
The above equation implies that if the price is increased by $1, the demand is expected to

Accepted Answer

A)  increase by 5 units. 
B)  decrease by 4 units. 
C)  decrease by 5000 units. 
D)  decrease by 4000 units. 
A)  increase by 5 units. 
B)  decrease by 4 units. 
C)  decrease by 5000 units. 
D)  decrease by 4000 units.

Question 20

You are given the following information about y and x.   ​ The least squares estimate of the intercept or b0 equals

Accepted Answer

A)  -12. 
B)  12. 
C)  .5. 
D)  -.5. 
A)  -12. 
B)  12. 
C)  .5. 
D)  -.5.

Exam 14: Simple Linear Regression

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. ​ ​ The least squares estimate of the intercept or b0 equals

When interpreting a correlation coefficient of -.95, you would say that there is a _____ linear relationship between x and y.

You are given the following information about y and x. ​ The coefficient of determination equals

You are given the following information about y and x. ​ The sample correlation coefficient equals

You are given the following information about y and x. ​ The least squares estimate of the intercept or b0 equals

You are given the following information about y and x. ​ The point estimate of y when x = 2 is

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

In a regression analysis, if SSE =600 and SSR = 300, then the coefficient of determination is

The following information regarding a dependent variable y and an independent variable x is provided: ​ The slope of the regression equation is

?Which of the following is correct?

The following information regarding a dependent variable (y) and an independent variable (x) is provided. ​ SSE = 1.9 SST = 6.8 ​ The coefficient of determination is

If the coefficient of correlation is a negative value, then the

If the coefficient of correlation is .80, then the coefficient of determination

Given the following regression source table, is the model significant at the .05 level using the critical value approach? ​

In a regression and correlation analysis, if r2 = 1, then

In regression analysis, the unbiased estimate of the variance is

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

A regression analysis between demand (y in 1000 units) and price (x in dollars) resulted in the following equation: ​ = 9 - 4x ​ The above equation implies that if the price is increased by $1, the demand is expected to

You are given the following information about y and x. ​ The least squares estimate of the intercept or b0 equals

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

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, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

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You are given the following information about y and x. The least squares estimate of the intercept or b₀ equals

You are given the following information about y and x. The coefficient of determination equals

You are given the following information about y and x. The sample correlation coefficient equals

You are given the following information about y and x. The least squares estimate of the intercept or b₀ equals

You are given the following information about y and x. The point estimate of y when x = 2 is

The following information regarding a dependent variable y and an independent variable x is provided: The slope of the regression equation is

The following information regarding a dependent variable (y) and an independent variable (x) is provided. SSE = 1.9 SST = 6.8 The coefficient of determination is

Given the following regression source table, is the model significant at the .05 level using the critical value approach?

In a regression and correlation analysis, if r² = 1, then

A regression analysis between demand (y in 1000 units) and price (x in dollars) resulted in the following equation: = 9 - 4x The above equation implies that if the price is increased by $1, the demand is expected to

You are given the following information about y and x. The least squares estimate of the intercept or b₀ equals