Question 1

Find the standard error of estimate,   , for the data below, given that   = 2x + 1.

Accepted Answer

A)  0 
B)  2 
C)  1 
D)  3 
A)  0 
B)  2 
C)  1 
D)  3 A

Question 2

If a hypothesis test of the linear relation between the explanatory and the response variable is of the type where   :   = 0,   :   > 0, then we are testing the claim that

Accepted Answer

A)  no linear relationship exists. 
B)  a relationship exist without regard to the sign of the slope. 
C)  the slope of the least square regression model is positive. 
D)  the slope of the least squares regression model is negative. 
A)  no linear relationship exists. 
B)  a relationship exist without regard to the sign of the slope. 
C)  the slope of the least square regression model is positive. 
D)  the slope of the least squares regression model is negative. C

Question 3

The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults.Construct a 95% confidence interval about the slope of the true least-squares regression line, for the data below, given that

Accepted Answer

A)  (-8.443, 11.419) 
B)  (1.098, 1.877) 
C)  (1.175, 1.801) 
D)  (1.108, 1.868) 
A)  (-8.443, 11.419) 
B)  (1.098, 1.877) 
C)  (1.175, 1.801) 
D)  (1.108, 1.868) B

Question 4

The data below are the number of absences and the final grades of 9 randomly selected students in an engineering class. Find the standard error of estimate,   , given that

Accepted Answer

A)  3.876 
B)  4.531 
C)  1.798 
D)  2.160 
A)  3.876 
B)  4.531 
C)  1.798 
D)  2.160

Question 5

The least-squares regression model for one explanatory variable is given by the equation

Accepted Answer

A)  y = mx + b 
B)  y -   = m(x -   ) 
C)    =   +     +   
D)    =     +   
A)  y = mx + b 
B)  y -   = m(x -   ) 
C)    =   +     +   
D)    =     +

Question 6

Test the claim, at the ? = 0.05 level of significance, that a linear relation exists between the two variables, for the data below, given that   = -2.5x.

Accepted Answer

Since t = -6.455 < -t0.025 = -

Question 7

A breeder of thoroughbred horses wishes to model the relationship between the gestation period and the length of life of a horse. The breeder believes that the two variables may follow a linear trend. The information in the table was supplied to the breeder from various thoroughbred stables across the state. Test the claim, at the ? =0.05 level of significance, that a linear relation exists between the gestation period and the length of life of a horse.

Accepted Answer

Since t = 0.814 < t0.025 = 2.571, we do

Question 8

A breeder of thoroughbred horses wishes to model the relationship between the gestation period and the length of life of a horse. The breeder believes that the two variables may follow a linear trend. The information in the table was supplied to the breeder from various thoroughbred stables across the state. Construct a 95% prediction interval about the value of y when x = 300 days.

Accepted Answer

The answer of A breeder of thoroughbred horses wishes to...

Question 9

The data below are the final exam scores of 10 randomly selected engineering students and the number of hours they slept the night before the exam. Find the standard error of estimate,   , given that

Accepted Answer

A)  8.912 
B)  7.913 
C)  9.875 
D)  6.305 
A)  8.912 
B)  7.913 
C)  9.875 
D)  6.305

Question 10

One of the requirements for conducting inference on the least-squares regression model is that the

Accepted Answer

A)  mean of the response variable changes at a constant rate while the standard deviation remains constant. 
B)  mean of the explanatory variable changes at a constant rate while the standard deviation remains constant. 
C)  mean of the explanatory variable remains constant while the standard deviation changes at a constant rate. 
D)  mean of the response variable remains constant while the standard deviation changes at a constant rate. 
A)  mean of the response variable changes at a constant rate while the standard deviation remains constant. 
B)  mean of the explanatory variable changes at a constant rate while the standard deviation remains constant. 
C)  mean of the explanatory variable remains constant while the standard deviation changes at a constant rate. 
D)  mean of the response variable remains constant while the standard deviation changes at a constant rate.

Question 11

The data below are the scores of 10 randomly selected students from a statistics class and the number of hours they slept the night before the exam. Construct a 95% confidence interval about the mean value of y, the score on the final exam, given x = 7 hours,   = 5.044x + 56.11 and

Accepted Answer

A)  (77.21, 110.45) 
B)  (82.840, 99.996) 
C)  (74.54, 108.30) 
D)  (79.16, 112.34) 
A)  (77.21, 110.45) 
B)  (82.840, 99.996) 
C)  (74.54, 108.30) 
D)  (79.16, 112.34)

Question 12

Test the claim, at the ? = 0.01 level of significance, that a linear relation exists between the two variables, for the data below, given that

Accepted Answer

Since t = 19.510 > t0.005 =3.3

Question 13

How does a confidence interval differ from a prediction interval?

Accepted Answer

A)  Confidence intervals are used to measure the accuracy of a single individual's predicted value, while a prediction interval is used to measure the accuracy of the mean response of all the individuals in the population. 
B)  Confidence intervals are used to measure the accuracy of the mean response of all the individuals in the population, while a prediction interval is used to measure the accuracy of a single individual's predicted value. 
C)  Confidence intervals are constructed about the predicted values of x while prediction intervals a constructed about a particular value of y 
D)  Confidence intervals are constructed about the predicted values of y while prediction intervals a constructed about a particular value of x 
A)  Confidence intervals are used to measure the accuracy of a single individual's predicted value, while a prediction interval is used to measure the accuracy of the mean response of all the individuals in the population. 
B)  Confidence intervals are used to measure the accuracy of the mean response of all the individuals in the population, while a prediction interval is used to measure the accuracy of a single individual's predicted value. 
C)  Confidence intervals are constructed about the predicted values of x while prediction intervals a constructed about a particular value of y 
D)  Confidence intervals are constructed about the predicted values of y while prediction intervals a constructed about a particular value of x

Question 14

When constructing a confidence interval about the mean response of y in a linear regression, the t-distribution is used with_____________degrees of freedom.

Accepted Answer

A)  n + k - 2 
B)    +   -2 
C)  n - 1 
D)  n - 2 
A)  n + k - 2 
B)    +   -2 
C)  n - 1 
D)  n - 2

Question 15

Construct a 95% prediction interval for y given x = -3.5,   = 2.097x - 0.552 and

Accepted Answer

A)  (-3.187, -2.154) 
B)  (-4.598, -1.986) 
C)  (-8.921, -6.862) 
D)  (-10.367, -5.417) 
A)  (-3.187, -2.154) 
B)  (-4.598, -1.986) 
C)  (-8.921, -6.862) 
D)  (-10.367, -5.417)

Question 16

Construct a 99% confidence interval about the slope of the true least-squares regression line, for the data below, given that

Accepted Answer

A)  (1.787, 2.407) 
B)  (1.749, 2.445) 
C)  (1.738, 2.456) 
D)  ( -1.177, 5.371) 
A)  (1.787, 2.407) 
B)  (1.749, 2.445) 
C)  (1.738, 2.456) 
D)  ( -1.177, 5.371)

Question 17

A breeder of Thoroughbred horses wishes to model the relationship between the gestation period and the length of life of a horse. The breeder believes that the two variables may follow a linear trend. The information in the table was supplied to the breeder from various thoroughbred stables across the state. Construct a 90% confidence interval about the slope of the true least-squares regression line.

Accepted Answer

@#IMG-DLM& = 0.01087 
 @#IMG-DLM& =0.013

Question 18

Find the standard error of estimate,   , for the data below, given that

Accepted Answer

A)  0.981 
B)  0.011 
C)  0.613 
D)  0.312 
A)  0.981 
B)  0.011 
C)  0.613 
D)  0.312

Question 19

Construct a 90% confidence interval about the slope of the true least-squares regression line, for the data below, for the data below, given that

Accepted Answer

A)  (-1.979, -1.791) 
B)  (-2.008, -1.762) 
C)  (-2.010, -1.760) 
D)  (-3.025, -0.745) 
A)  (-1.979, -1.791) 
B)  (-2.008, -1.762) 
C)  (-2.010, -1.760) 
D)  (-3.025, -0.745)

Question 20

Find the standard error of estimate,   , for the data below, given that   = -2.5x.

Accepted Answer

A)  0.532 
B)  0.349 
C)  0.675 
D)  0.866 
A)  0.532 
B)  0.349 
C)  0.675 
D)  0.866

Find the standard error of estimate, , for the data below, given that = 2x + 1.

If a hypothesis test of the linear relation between the explanatory and the response variable is of the type where : = 0, : > 0, then we are testing the claim that

The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults.Construct a 95% confidence interval about the slope of the true least-squares regression line, for the data below, given that

The data below are the number of absences and the final grades of 9 randomly selected students in an engineering class. Find the standard error of estimate, , given that

The least-squares regression model for one explanatory variable is given by the equation

Test the claim, at the ? = 0.05 level of significance, that a linear relation exists between the two variables, for the data below, given that = -2.5x.

The data below are the final exam scores of 10 randomly selected engineering students and the number of hours they slept the night before the exam. Find the standard error of estimate, , given that

One of the requirements for conducting inference on the least-squares regression model is that the

The data below are the scores of 10 randomly selected students from a statistics class and the number of hours they slept the night before the exam. Construct a 95% confidence interval about the mean value of y, the score on the final exam, given x = 7 hours, = 5.044x + 56.11 and

Test the claim, at the ? = 0.01 level of significance, that a linear relation exists between the two variables, for the data below, given that

How does a confidence interval differ from a prediction interval?

When constructing a confidence interval about the mean response of y in a linear regression, the t-distribution is used with_____________degrees of freedom.

Construct a 95% prediction interval for y given x = -3.5, = 2.097x - 0.552 and

Construct a 99% confidence interval about the slope of the true least-squares regression line, for the data below, given that

Find the standard error of estimate, , for the data below, given that

Construct a 90% confidence interval about the slope of the true least-squares regression line, for the data below, for the data below, given that

Find the standard error of estimate, , for the data below, given that = -2.5x.

Data Collection

Organizing and Summarizing Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

The Normal Probability Distributions

Sampling Distributions

Estimating the Value of a Parameter Using Confidence Intervals

Hypothesis Tests Regarding a Parameter

Inference on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Filters

Exam 14: Inference of the Least-Squares Regression Model

Find the standard error of estimate, , for the data below, given that = 2x + 1.

If a hypothesis test of the linear relation between the explanatory and the response variable is of the type where : = 0, : > 0, then we are testing the claim that

The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults.Construct a 95% confidence interval about the slope of the true least-squares regression line, for the data below, given that

The data below are the number of absences and the final grades of 9 randomly selected students in an engineering class. Find the standard error of estimate, , given that

The least-squares regression model for one explanatory variable is given by the equation

Test the claim, at the ? = 0.05 level of significance, that a linear relation exists between the two variables, for the data below, given that = -2.5x.

The data below are the final exam scores of 10 randomly selected engineering students and the number of hours they slept the night before the exam. Find the standard error of estimate, , given that

One of the requirements for conducting inference on the least-squares regression model is that the

The data below are the scores of 10 randomly selected students from a statistics class and the number of hours they slept the night before the exam. Construct a 95% confidence interval about the mean value of y, the score on the final exam, given x = 7 hours, = 5.044x + 56.11 and

Test the claim, at the ? = 0.01 level of significance, that a linear relation exists between the two variables, for the data below, given that

How does a confidence interval differ from a prediction interval?

When constructing a confidence interval about the mean response of y in a linear regression, the t-distribution is used with_____________degrees of freedom.

Construct a 95% prediction interval for y given x = -3.5, = 2.097x - 0.552 and

Construct a 99% confidence interval about the slope of the true least-squares regression line, for the data below, given that

Find the standard error of estimate, , for the data below, given that

Construct a 90% confidence interval about the slope of the true least-squares regression line, for the data below, for the data below, given that

Find the standard error of estimate, , for the data below, given that = -2.5x.

Data Collection

Organizing and Summarizing Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

The Normal Probability Distributions

Sampling Distributions

Estimating the Value of a Parameter Using Confidence Intervals

Hypothesis Tests Regarding a Parameter

Inference on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Filters