Question 1

The following data is to be used to construct a regression model:   The value of the slope is ___.

Accepted Answer

A)  16.49 
B)  1.19 
C)  1.43 
D)  0.75 
E)  1.30 
A)  16.49 
B)  1.19 
C)  1.43 
D)  0.75 
E)  1.30

Question 2

Abby Kratz, a market specialist at the market research firm of Saez, Sikes, and Spitz, is analyzing household budget data collected by her firm. Abby's dependent variable is monthly household expenditures on groceries (in $'s), and her independent variable is annual household income (in $1,000's). Regression analysis of the data yielded the following tables:     Abby's regression model is ___.

Accepted Answer

A)  y = 39.15 + 2.79x 
B)  y = 39.15 - 1.79x 
C)  y = 1.79 + 39.15x 
D)  y = -1.79 + 39.15x 
E)  y = 39.15 + 1.79x 
A)  y = 39.15 + 2.79x 
B)  y = 39.15 - 1.79x 
C)  y = 1.79 + 39.15x 
D)  y = -1.79 + 39.15x 
E)  y = 39.15 + 1.79x

Question 3

In simple regression analysis the error terms are assumed to be independent and normally distributed with zero mean and constant variance.

Accepted Answer

A) True 
 B)False

Question 4

In regression, the variable that is being predicted is usually referred to as the independent variable.

Accepted Answer

A) True 
 B)False

Question 5

In the regression equation, y = 2.164 + 1.3657x, n = 6, the mean of x is 8.667, Sxx= 89.333 and Se= 3.44. A 95% confidence interval for the average of y when x = 8 is ___.

Accepted Answer

A)  (9.13, 17.05) 
B)  (2.75, 23.43) 
C)  (10.31, 15.86) 
D)  (3.56, 22.62) 
E)  (12.09, 14.09) 
A)  (9.13, 17.05) 
B)  (2.75, 23.43) 
C)  (10.31, 15.86) 
D)  (3.56, 22.62) 
E)  (12.09, 14.09)

Question 6

The assumption of constant error variance in regression analysis is called ___.

Accepted Answer

A)  heteroscedasticity 
B)  homoscedasticity 
C)  residuals 
D)  linearity 
E)  nonnormality 
A)  heteroscedasticity 
B)  homoscedasticity 
C)  residuals 
D)  linearity 
E)  nonnormality

Question 7

Data points that lie apart from the rest of the points are called deviants.

Accepted Answer

A) True 
 B)False

Question 8

In the regression equation, y = 54.78 + 1.45x, the x-intercept is ___.

Accepted Answer

A)  1.45 
B)  −1.45 
C)  54.78 
D)  −54.78 
E)  −37.8 
A)  1.45 
B)  −1.45 
C)  54.78 
D)  −54.78 
E)  −37.8

Question 9

For a certain data set the regression equation is y = 29 - 5x. The correlation coefficient between y and x in this data set ___.

Accepted Answer

A)  must be 0 
B)  is negative 
C)  must be 1 
D)  is positive 
E)  must be >1 
A)  must be 0 
B)  is negative 
C)  must be 1 
D)  is positive 
E)  must be >1

Question 10

Annie Mikhail, market analyst for a national company specializing in historic city tours, is analyzing the relationship between the sales revenue from historic city tours and the size of the city. She gathers data from six cities in which the tours are offered. Annie's dependent variable is annual sales revenues and her independent variable is the city population. Regression analysis of the data yielded the following tables:     Using α = 0.05, Annie should ___.

Accepted Answer

A)  increase the sample size 
B)  not reject H0: β1 = 0 
C)  reject H0: β1= 0 
D)  suspend judgment 
A)  increase the sample size 
B)  not reject H0: β1 = 0 
C)  reject H0: β1= 0 
D)  suspend judgment

Question 11

A t test is used to determine whether the coefficients of the regression model are significantly different from zero.

Accepted Answer

A) True 
 B)False

Question 12

Annie Mikhail, market analyst for a national company specializing in historic city tours, is analyzing the relationship between the sales revenue from historic city tours and the size of the city. She gathers data from six cities in which the tours are offered. Annie's dependent variable is annual sales revenues and her independent variable is the city population. Regression analysis of the data yielded the following tables:     Annie's regression model can be written as: ___.

Accepted Answer

A)  y = 7.950352 - 0.48455x 
B)  y = -0.48455 + 7.950352x 
C)  y = -0.14156 + 0.105195x 
D)  y = 0.105195 - 0.14156x 
E)  y = 0.105195 + 0.14156x 
A)  y = 7.950352 - 0.48455x 
B)  y = -0.48455 + 7.950352x 
C)  y = -0.14156 + 0.105195x 
D)  y = 0.105195 - 0.14156x 
E)  y = 0.105195 + 0.14156x

Question 13

The proportion of variability of the dependent variable accounted for or explained by the independent variable is called the ___.

Accepted Answer

A)  sum of squares error 
B)  coefficient of correlation 
C)  coefficient of determination 
D)  covariance 
E)  regression sum of squares 
A)  sum of squares error 
B)  coefficient of correlation 
C)  coefficient of determination 
D)  covariance 
E)  regression sum of squares

Question 14

A simple regression model developed for 12 pairs of data resulted in a sum of squares of error, SSE = 246. The standard error of the estimate is ___.

Accepted Answer

A)  24.6 
B)  4.96 
C)  20.5 
D)  4.53 
E)  12.3 
A)  24.6 
B)  4.96 
C)  20.5 
D)  4.53 
E)  12.3

Question 15

From the following scatter plot, we can say that between Y and X there is ___.

Accepted Answer

A)  perfect positive correlation 
B)  virtually no correlation 
C)  positive correlation 
D)  negative correlation 
E)  perfect negative correlation 
A)  perfect positive correlation 
B)  virtually no correlation 
C)  positive correlation 
D)  negative correlation 
E)  perfect negative correlation

Question 16

From the following scatter plot, we can say that between Y and X there is ___.

Accepted Answer

A)  perfect positive correlation 
B)  virtually no correlation 
C)  positive correlation 
D)  negative correlation 
E)  perfect negative correlation 
A)  perfect positive correlation 
B)  virtually no correlation 
C)  positive correlation 
D)  negative correlation 
E)  perfect negative correlation

Question 17

Abby Kratz, a market specialist at the market research firm of Saez, Sikes, and Spitz, is analyzing household budget data collected by her firm. Abby's dependent variable is monthly household expenditures on groceries (in $'s), and her independent variable is annual household income (in $1,000's). Regression analysis of the data yielded the following tables:     For a household with $50,000 annual income, Abby's model predicts monthly grocery expenditures of ___.

Accepted Answer

A)  $150.35 
B)  $50.35 
C)  $1,959.29 
D)  $128.65 
E)  $1286.50 
A)  $150.35 
B)  $50.35 
C)  $1,959.29 
D)  $128.65 
E)  $1286.50

Question 18

The equation of a regression line is   
. Use the data below to construct a 95% confidence interval to estimate the average value of y when x = 4.

Accepted Answer

The answer of The equation of a regression line is...

Question 19

The proportion of variability of the dependent variable (y) accounted for or explained by the independent variable (x) is called the coefficient of correlation.

Accepted Answer

A) True 
 B)False

Question 20

For the regression line, y = 21 − 5x, 21 is the y-intercept of the line.

Accepted Answer

A) True 
 B)False

The following data is to be used to construct a regression model: The value of the slope is ___.

In simple regression analysis the error terms are assumed to be independent and normally distributed with zero mean and constant variance.

In regression, the variable that is being predicted is usually referred to as the independent variable.

In the regression equation, y = 2.164 + 1.3657x, n = 6, the mean of x is 8.667, S_xx= 89.333 and S_e= 3.44. A 95% confidence interval for the average of y when x = 8 is ___.

The assumption of constant error variance in regression analysis is called ___.

Data points that lie apart from the rest of the points are called deviants.

In the regression equation, y = 54.78 + 1.45x, the x-intercept is ___.

For a certain data set the regression equation is y = 29 - 5x. The correlation coefficient between y and x in this data set ___.

A t test is used to determine whether the coefficients of the regression model are significantly different from zero.

The proportion of variability of the dependent variable accounted for or explained by the independent variable is called the ___.

A simple regression model developed for 12 pairs of data resulted in a sum of squares of error, SSE = 246. The standard error of the estimate is ___.

From the following scatter plot, we can say that between Y and X there is ___.

From the following scatter plot, we can say that between Y and X there is ___.

The equation of a regression line is . Use the data below to construct a 95% confidence interval to estimate the average value of y when x = 4.

The proportion of variability of the dependent variable (y) accounted for or explained by the independent variable (x) is called the coefficient of correlation.

For the regression line, y = 21 − 5x, 21 is the y-intercept of the line.

Introduction to Statistics

Organizing and Visualizing Data

Descriptive Statistics

Gathering Data

Probability

Decision Analysis and Expected Value

Discrete Probability Distributions

Continuous Distributions

Sampling Distributions

Confidence Intervals

Hypothesis Testing for Single Populations

Hypothesis Testing for Two Populations

Analysis of Variance Anova

Categorical Versus Categorical: Tests

Filters

Exam 14: Linear Correlation and Simple Linear Regression Analysis

The following data is to be used to construct a regression model: The value of the slope is ___.

In simple regression analysis the error terms are assumed to be independent and normally distributed with zero mean and constant variance.

In regression, the variable that is being predicted is usually referred to as the independent variable.

In the regression equation, y = 2.164 + 1.3657x, n = 6, the mean of x is 8.667, Sxx= 89.333 and Se= 3.44. A 95% confidence interval for the average of y when x = 8 is ___.

The assumption of constant error variance in regression analysis is called ___.

Data points that lie apart from the rest of the points are called deviants.

In the regression equation, y = 54.78 + 1.45x, the x-intercept is ___.

For a certain data set the regression equation is y = 29 - 5x. The correlation coefficient between y and x in this data set ___.

A t test is used to determine whether the coefficients of the regression model are significantly different from zero.

The proportion of variability of the dependent variable accounted for or explained by the independent variable is called the ___.

A simple regression model developed for 12 pairs of data resulted in a sum of squares of error, SSE = 246. The standard error of the estimate is ___.

From the following scatter plot, we can say that between Y and X there is ___.

From the following scatter plot, we can say that between Y and X there is ___.

The equation of a regression line is . Use the data below to construct a 95% confidence interval to estimate the average value of y when x = 4.

The proportion of variability of the dependent variable (y) accounted for or explained by the independent variable (x) is called the coefficient of correlation.

For the regression line, y = 21 − 5x, 21 is the y-intercept of the line.

Introduction to Statistics

Organizing and Visualizing Data

Descriptive Statistics

Gathering Data

Probability

Decision Analysis and Expected Value

Discrete Probability Distributions

Continuous Distributions

Sampling Distributions

Confidence Intervals

Hypothesis Testing for Single Populations

Hypothesis Testing for Two Populations

Analysis of Variance Anova

Categorical Versus Categorical: Tests

Filters

In the regression equation, y = 2.164 + 1.3657x, n = 6, the mean of x is 8.667, S_xx= 89.333 and S_e= 3.44. A 95% confidence interval for the average of y when x = 8 is ___.