Question 1

In a sample of n = 36,the critical value of Student's t for a two-tailed test of significance of the slope for a simple regression at α = .05 is:

Accepted Answer

A)  2.938 
B)  2.724 
C)  2.032 
D)  2.074 
A)  2.938 
B)  2.724 
C)  2.032 
D)  2.074

Question 2

In a sample of n = 20,the critical value of the correlation coefficient for a two-tailed test at α = .05 is:

Accepted Answer

A)  ±.587 
B)  ±.412 
C)  ±.444 
D)  ±.497 
A)  ±.587 
B)  ±.412 
C)  ±.444 
D)  ±.497

Question 3

A regression was estimated using these variables: Y = annual value of reported bank robbery losses in all U.S.banks ($millions),X = annual value of currency held by all U.S.banks ($millions),n = 100 years (1912 through 2011).We would not anticipate:

Accepted Answer

A)  autocorrelated residuals due to time-series data. 
B)  heteroscedastic residuals due to the wide variation in data magnitudes. 
C)  nonnormal residuals due to skewed data as bank size increases over time. 
D)  a negative slope because banks hold less currency when they are robbed. 
A)  autocorrelated residuals due to time-series data. 
B)  heteroscedastic residuals due to the wide variation in data magnitudes. 
C)  nonnormal residuals due to skewed data as bank size increases over time. 
D)  a negative slope because banks hold less currency when they are robbed.

Question 4

A negative correlation between two variables X and Y usually yields a negative p-value for r.

Accepted Answer

A) True 
 B)False

Question 5

In a sample of n = 36,the Student's t test statistic for a correlation of r = -.450 would be:

Accepted Answer

A)  -2.110. 
B)  -2.938. 
C)  -2.030. 
D)  can't say without knowing α. 
A)  -2.110. 
B)  -2.938. 
C)  -2.030. 
D)  can't say without knowing α.

Question 6

The regression line must pass through the origin.

Accepted Answer

A) True 
 B)False

Question 7

The studentized residuals permit us to detect cases where the regression predicts poorly.

Accepted Answer

A) True 
 B)False

Question 8

Cause-and-effect direction between X and Y may be determined by running the regression twice and seeing whether Y = β0 + β1X or X = β1 + β0Y has the larger R2.

Accepted Answer

A) True 
 B)False

Question 9

In a sample of n = 36,the critical value of the correlation coefficient for a two-tailed test at α = .05 is:

Accepted Answer

A)  ±.329 
B)  ±.387 
C)  ±.423 
D)  ±.497 
A)  ±.329 
B)  ±.387 
C)  ±.423 
D)  ±.497

Question 10

The total sum of squares (SST)will never exceed the regression sum of squares (SSR).

Accepted Answer

A) True 
 B)False

Question 11

A researcher's regression results are shown below using n = 8 observations.   The 95 percent confidence interval for the slope is:

Accepted Answer

A)  [1.333,2.284]. 
B)  [1.602,2.064]. 
C)  [1.268,2.398]. 
D)  [1.118,2.449]. 
A)  [1.333,2.284]. 
B)  [1.602,2.064]. 
C)  [1.268,2.398]. 
D)  [1.118,2.449].

Question 12

If the fitted regression is Y = 3.5 + 2.1X (R2 = .25,n = 25),it is incorrect to conclude that:

Accepted Answer

A)  Y increases 2.1 percent for a 1 percent increase in X. 
B)  the estimated regression line crosses the Y axis at 3.5. 
C)  the sample correlation coefficient must be positive. 
D)  the value of the sample correlation coefficient is 0.50. 
A)  Y increases 2.1 percent for a 1 percent increase in X. 
B)  the estimated regression line crosses the Y axis at 3.5. 
C)  the sample correlation coefficient must be positive. 
D)  the value of the sample correlation coefficient is 0.50.

Question 13

If the attendance at a baseball game is to be predicted by the equation Attendance = 16,500 - 75 Temperature,what would be the predicted attendance if Temperature is 90 degrees?

Accepted Answer

A)  6,750 
B)  9,750 
C)  12,250 
D)  10,020 
A)  6,750 
B)  9,750 
C)  12,250 
D)  10,020

Question 14

If n = 15 and r = .4296,the corresponding t-statistic to test for zero correlation is:

Accepted Answer

A)  1.715. 
B)  7.862. 
C)  2.048. 
D)  impossible to determine without α. 
A)  1.715. 
B)  7.862. 
C)  2.048. 
D)  impossible to determine without α.

Question 15

In a sample of n = 20,the Student's t test statistic for a correlation of r = .400 would be:

Accepted Answer

A)  2.110 
B)  1.645 
C)  1.852 
D)  can't say without knowing if it's a two-tailed or one-tailed test. 
A)  2.110 
B)  1.645 
C)  1.852 
D)  can't say without knowing if it's a two-tailed or one-tailed test.

Question 16

A fitted regression for an exam in Prof.Hardtack's class showed Score = 20 + 7 Study,where Score is the student's exam score and Study is the student's study hours.The regression yielded R2 = 0.50 and SE = 8.Bob studied 9 hours.The quick 95 percent prediction interval for Bob's grade is approximately:

Accepted Answer

A)  69 to 97. 
B)  75 to 91. 
C)  67 to 99. 
D)  76 to 90. 
A)  69 to 97. 
B)  75 to 91. 
C)  67 to 99. 
D)  76 to 90.

Question 17

In a simple bivariate regression,Fcalc = tcalc2.

Accepted Answer

A) True 
 B)False

Question 18

Which is correct to find the value of the coefficient of determination (R2)?

Accepted Answer

A)  SSR/SSE 
B)  SSR/SST 
C)  1 - SST/SSE 
A)  SSR/SSE 
B)  SSR/SST 
C)  1 - SST/SSE

Question 19

A hypothesis test is conducted at the 5 percent level of significance to test whether the population correlation is zero.If the sample consists of 25 observations and the correlation coefficient is 0.60,then the computed test statistic would be:

Accepted Answer

A)  2.071. 
B)  1.960. 
C)  3.597. 
D)  1.645. 
A)  2.071. 
B)  1.960. 
C)  3.597. 
D)  1.645.

Question 20

The standard error of the regression:

Accepted Answer

A)  is based on squared deviations from the regression line. 
B)  may assume negative values if b1 < 0. 
C)  is in squared units of the dependent variable. 
D)  may be cut in half to get an approximate 95 percent prediction interval. 
A)  is based on squared deviations from the regression line. 
B)  may assume negative values if b1 < 0. 
C)  is in squared units of the dependent variable. 
D)  may be cut in half to get an approximate 95 percent prediction interval.

In a sample of n = 36,the critical value of Student's t for a two-tailed test of significance of the slope for a simple regression at α = .05 is:

In a sample of n = 20,the critical value of the correlation coefficient for a two-tailed test at α = .05 is:

A regression was estimated using these variables: Y = annual value of reported bank robbery losses in all U.S.banks ($millions),X = annual value of currency held by all U.S.banks ($millions),n = 100 years (1912 through 2011).We would not anticipate:

A negative correlation between two variables X and Y usually yields a negative p-value for r.

In a sample of n = 36,the Student's t test statistic for a correlation of r = -.450 would be:

The regression line must pass through the origin.

The studentized residuals permit us to detect cases where the regression predicts poorly.

Cause-and-effect direction between X and Y may be determined by running the regression twice and seeing whether Y = β₀ + β₁X or X = β₁ + β₀Y has the larger R².

In a sample of n = 36,the critical value of the correlation coefficient for a two-tailed test at α = .05 is:

The total sum of squares (SST)will never exceed the regression sum of squares (SSR).

A researcher's regression results are shown below using n = 8 observations. The 95 percent confidence interval for the slope is:

If the fitted regression is Y = 3.5 + 2.1X (R² = .25,n = 25),it is incorrect to conclude that:

If the attendance at a baseball game is to be predicted by the equation Attendance = 16,500 - 75 Temperature,what would be the predicted attendance if Temperature is 90 degrees?

If n = 15 and r = .4296,the corresponding t-statistic to test for zero correlation is:

In a sample of n = 20,the Student's t test statistic for a correlation of r = .400 would be:

In a simple bivariate regression,F_calc = t_calc².

Which is correct to find the value of the coefficient of determination (R²)?

A hypothesis test is conducted at the 5 percent level of significance to test whether the population correlation is zero.If the sample consists of 25 observations and the correlation coefficient is 0.60,then the computed test statistic would be:

The standard error of the regression:

Overview of Statistics

Data Collection

Describing Data Visually

Descriptive Statistics

Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions and Estimation

One-Sample Hypothesis Tests

Two-Sample Hypothesis Tests

Analysis of Variance

Multiple Regression

Time-Series Analysis

Chi-Square Tests

Nonparametric Tests

Quality Management

Filters

Exam 12: Simple Regression

In a sample of n = 36,the critical value of Student's t for a two-tailed test of significance of the slope for a simple regression at α = .05 is:

In a sample of n = 20,the critical value of the correlation coefficient for a two-tailed test at α = .05 is:

A regression was estimated using these variables: Y = annual value of reported bank robbery losses in all U.S.banks ($millions),X = annual value of currency held by all U.S.banks ($millions),n = 100 years (1912 through 2011).We would not anticipate:

A negative correlation between two variables X and Y usually yields a negative p-value for r.

In a sample of n = 36,the Student's t test statistic for a correlation of r = -.450 would be:

The regression line must pass through the origin.

The studentized residuals permit us to detect cases where the regression predicts poorly.

Cause-and-effect direction between X and Y may be determined by running the regression twice and seeing whether Y = β0 + β1X or X = β1 + β0Y has the larger R2.

In a sample of n = 36,the critical value of the correlation coefficient for a two-tailed test at α = .05 is:

The total sum of squares (SST)will never exceed the regression sum of squares (SSR).

A researcher's regression results are shown below using n = 8 observations. The 95 percent confidence interval for the slope is:

If the fitted regression is Y = 3.5 + 2.1X (R2 = .25,n = 25),it is incorrect to conclude that:

If the attendance at a baseball game is to be predicted by the equation Attendance = 16,500 - 75 Temperature,what would be the predicted attendance if Temperature is 90 degrees?

If n = 15 and r = .4296,the corresponding t-statistic to test for zero correlation is:

In a sample of n = 20,the Student's t test statistic for a correlation of r = .400 would be:

In a simple bivariate regression,Fcalc = tcalc2.

Which is correct to find the value of the coefficient of determination (R2)?

A hypothesis test is conducted at the 5 percent level of significance to test whether the population correlation is zero.If the sample consists of 25 observations and the correlation coefficient is 0.60,then the computed test statistic would be:

The standard error of the regression:

Overview of Statistics

Data Collection

Describing Data Visually

Descriptive Statistics

Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions and Estimation

One-Sample Hypothesis Tests

Two-Sample Hypothesis Tests

Analysis of Variance

Multiple Regression

Time-Series Analysis

Chi-Square Tests

Nonparametric Tests

Quality Management

Filters

Cause-and-effect direction between X and Y may be determined by running the regression twice and seeing whether Y = β₀ + β₁X or X = β₁ + β₀Y has the larger R².

If the fitted regression is Y = 3.5 + 2.1X (R² = .25,n = 25),it is incorrect to conclude that:

In a simple bivariate regression,F_calc = t_calc².

Which is correct to find the value of the coefficient of determination (R²)?