Question 1

If SSR is 1800 and SSE is 200,then R2 is .90.

Accepted Answer

A) True 
 B)False

Question 2

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 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

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 5

In linear regression between two variables,a significant relationship exists when the p-value of the t test statistic for the slope is greater than α.

Accepted Answer

A) True 
 B)False

Question 6

A prediction interval for Y is widest when X is near its mean.

Accepted Answer

A) True 
 B)False

Question 7

Pearson's correlation coefficient (r)requires that both variables be interval or ratio data.

Accepted Answer

A) True 
 B)False

Question 8

A researcher's results are shown below using n = 25 observations.   Which is the 95 percent confidence interval for the slope?

Accepted Answer

A) [−3.282,−1.284] 
B) [−4.349,−0.217] 
C) [1.118,5.026] 
D) [−0.998,+0.998] 
A) [−3.282,−1.284] 
B) [−4.349,−0.217] 
C) [1.118,5.026] 
D) [−0.998,+0.998]

Question 9

A standardized residual equal to −2.205 indicates

Accepted Answer

A) a rather poor prediction. 
B) an extreme outlier in the residuals. 
C) an observation with high leverage. 
D) a likely data entry error. 
A) a rather poor prediction. 
B) an extreme outlier in the residuals. 
C) an observation with high leverage. 
D) a likely data entry error.

Question 10

If you were to use Excel to estimate Y = b0 + b1 X + ε with binary Y (0 or 1)you would expect

Accepted Answer

A) an error message because Excel does not allow a binary Y. 
B) predicted probabilities greater than 1 or less than 0. 
C) predictions that are either 0 or 1. 
D) residuals that are homoscedastic and normally distributed. 
A) an error message because Excel does not allow a binary Y. 
B) predicted probabilities greater than 1 or less than 0. 
C) predictions that are either 0 or 1. 
D) residuals that are homoscedastic and normally distributed.

Question 11

A fitted regression Profit = −570 + 30 Sales (all variables in thousands of dollars)was estimated from a random sample of pharmacies.From this regression,in order to break even (Profit ≥ 0),a pharmacy's Sales would have to be at least

Accepted Answer

A) $19,000 
B) $300,000 
C) $56,000 
D) $100,000 
A) $19,000 
B) $300,000 
C) $56,000 
D) $100,000

Question 12

Correlation analysis primarily measures the degree of the linear relationship between X and Y.

Accepted Answer

A) True 
 B)False

Question 13

A different confidence interval exists for the mean value of Y for each different value of X.

Accepted Answer

A) True 
 B)False

Question 14

A sample correlation r = .40 indicates a stronger linear relationship than r = −.60.

Accepted Answer

A) True 
 B)False

Question 15

In a sample of size n = 36,a sample correlation of r = −.450 provides sufficient evidence to conclude that the population correlation coefficient differs significantly from zero in a two-tailed test at

Accepted Answer

A) α = .01 
B) α = .05 
C) both α = .01 and α = .05. 
D) neither α = .01 nor α = .05. 
A) α = .01 
B) α = .05 
C) both α = .01 and α = .05. 
D) neither α = .01 nor α = .05.

Question 16

Prediction intervals for Y are narrowest when

Accepted Answer

A) the mean of X is near the mean of Y. 
B) the value of X is near the mean of X. 
C) the mean of X differs greatly from the mean of Y. 
D) the mean of X is small. 
A) the mean of X is near the mean of Y. 
B) the value of X is near the mean of X. 
C) the mean of X differs greatly from the mean of Y. 
D) the mean of X is small.

Question 17

In a two-tailed test for correlation at α = .05,a sample correlation coefficient r = .42 with n = 25 is significantly different than zero.

Accepted Answer

A) True 
 B)False

Question 18

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

Accepted Answer

A) True 
 B)False

Question 19

Amelia used a random sample of 100 accounts receivable to estimate the relationship between Days (number of days from billing to receipt of payment)and Size (size of balance due in dollars).Her estimated regression equation was Days = 22 + 0.0047 Size with a correlation coefficient of .300.From this information we can conclude that

Accepted Answer

A) 9 percent of the variation in Days is explained by Size. 
B) autocorrelation is likely to be a problem. 
C) the relationship between Days and Size is significant. 
D) larger accounts usually take less time to pay. 
A) 9 percent of the variation in Days is explained by Size. 
B) autocorrelation is likely to be a problem. 
C) the relationship between Days and Size is significant. 
D) larger accounts usually take less time to pay.

Question 20

The critical value for a two-tailed test of H0: β1 = 0 at α = .05 in a simple regression with 22 observations is

Accepted Answer

A) ±1.725 
B) ±2.086 
C) ±2.528 
D) ±1.960 
A) ±1.725 
B) ±2.086 
C) ±2.528 
D) ±1.960

If SSR is 1800 and SSE is 200,then R2 is .90.

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

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

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

In linear regression between two variables,a significant relationship exists when the p-value of the t test statistic for the slope is greater than α.

A prediction interval for Y is widest when X is near its mean.

Pearson's correlation coefficient (r)requires that both variables be interval or ratio data.

A researcher's results are shown below using n = 25 observations. Which is the 95 percent confidence interval for the slope?

A standardized residual equal to −2.205 indicates

If you were to use Excel to estimate Y = b0 + b1 X + ε with binary Y (0 or 1)you would expect

A fitted regression Profit = −570 + 30 Sales (all variables in thousands of dollars)was estimated from a random sample of pharmacies.From this regression,in order to break even (Profit ≥ 0),a pharmacy's Sales would have to be at least

Correlation analysis primarily measures the degree of the linear relationship between X and Y.

A different confidence interval exists for the mean value of Y for each different value of X.

A sample correlation r = .40 indicates a stronger linear relationship than r = −.60.

In a sample of size n = 36,a sample correlation of r = −.450 provides sufficient evidence to conclude that the population correlation coefficient differs significantly from zero in a two-tailed test at

Prediction intervals for Y are narrowest when

In a two-tailed test for correlation at α = .05,a sample correlation coefficient r = .42 with n = 25 is significantly different than zero.

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

The critical value for a two-tailed test of H0: β1 = 0 at α = .05 in a simple regression with 22 observations is

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Exam 12: Simple Regression

If SSR is 1800 and SSE is 200,then R2 is .90.

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

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

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

In linear regression between two variables,a significant relationship exists when the p-value of the t test statistic for the slope is greater than α.

A prediction interval for Y is widest when X is near its mean.

Pearson's correlation coefficient (r)requires that both variables be interval or ratio data.

A researcher's results are shown below using n = 25 observations. Which is the 95 percent confidence interval for the slope?

A standardized residual equal to −2.205 indicates

If you were to use Excel to estimate Y = b0 + b1 X + ε with binary Y (0 or 1)you would expect

A fitted regression Profit = −570 + 30 Sales (all variables in thousands of dollars)was estimated from a random sample of pharmacies.From this regression,in order to break even (Profit ≥ 0),a pharmacy's Sales would have to be at least

Correlation analysis primarily measures the degree of the linear relationship between X and Y.

A different confidence interval exists for the mean value of Y for each different value of X.

A sample correlation r = .40 indicates a stronger linear relationship than r = −.60.

In a sample of size n = 36,a sample correlation of r = −.450 provides sufficient evidence to conclude that the population correlation coefficient differs significantly from zero in a two-tailed test at

Prediction intervals for Y are narrowest when

In a two-tailed test for correlation at α = .05,a sample correlation coefficient r = .42 with n = 25 is significantly different than zero.

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

The critical value for a two-tailed test of H0: β1 = 0 at α = .05 in a simple regression with 22 observations is

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

Chi-Square Tests

Filters