Question 1

In simple regression analysis,the standard error is ___________ greater than the standard deviation of y values.

Accepted Answer

A) always 
B) sometimes 
C) never 
D) Cannot be determined. 
A) always 
B) sometimes 
C) never 
D) Cannot be determined.

Question 2

When there is positive autocorrelation,over time,negative error terms are followed by positive error terms and positive error terms are followed by negative error terms.

Accepted Answer

A) True 
 B)False

Question 3

In a simple linear regression model,for any value of the dependent variable was assume that the error term follows a ____________ distribution.

Accepted Answer

The answer of In a simple linear regression model,for any...

Question 4

An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.Use the simple linear regression model. $\sum X$ = 30 $\sum X ^ { 2 }$ = 104 $\sum Y$ = 40 $\sum Y ^ { 2 }$ = 178 $\sum X Y$ = 134
-Complete the ANOVA table and determine the value of the F statistic.

Accepted Answer

The answer of An experiment was performed on a certain...

Question 5

The ____________________ is the proportion of the total variation in the dependent variable explained by the regression model.

Accepted Answer

coefficien

Question 6

Consider the following partial computer output from a simple linear regression analysis. $$\begin{array}{l}
\begin{array} { l l l l l } 
\text { Predictor } & \text { Coef } & \text { SE Coef } & \text { T } & \text { P } \
\text { Constant } & 4.8615 & 0.5201 & 9.35 & 0.000 \
\text { Independent Var } - & 0.34655 & 0.05866 &\_\_\_ &
\end{array}\
\mathrm { S } = 0.4862 \quad \mathrm { R } - \mathrm { Sq } =\_\_\_\_
\end{array}$$ Analysis of Variance $\begin{array}{lccccc}
\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \
\text { Regression } & 1 & \_\_& & 34.90 & 0.000\
\text { Residual Error }&13& \_\_& \_\_\
\text { Total }&14&11.3240
\end{array}$
-What is the estimated slope?

Accepted Answer

The answer of Consider the following partial computer output from...

Question 7

In a fitted simple linear regression model,the quantity that estimates the amount by which the mean of Y (dependent variable)changes for a unit change in X (independent variable)is called the _____.

Accepted Answer

A) coefficient of determination 
B) slope of the regression line 
C) y intercept of the regression line 
D) correlation coefficient 
E) standard error 
A) coefficient of determination 
B) slope of the regression line 
C) y intercept of the regression line 
D) correlation coefficient 
E) standard error

Question 8

A local tire dealer wants to predict the number of tires sold each month.The dealer believes that the number of tires sold is a linear function of the amount of money invested in advertising.The dealer randomly selects 6 months of data consisting of tire sales (in thousands of tires)and advertising expenditures (in thousands of dollars).Based on the data set with 6 observations,the simple linear regression model yielded the following results. $\sum X$ = 24 $\sum X ^ { 2 }$ = 124 $\sum Y$ = 42 $\sum Y ^ { 2 }$ = 338 $\sum X Y$ = 196
-Determine the value of the estimated y intercept and write equation of the least squares line.

Accepted Answer

b₀= 3, @#IMG-DLM& =

Question 9

Determine the 95% prediction interval for the mean value of y when x = 35 Givens: ∑ x = 277 and ∑ x2 = 8705

Accepted Answer

214.31 to 326.95
Y = 270.63
Di

Question 10

A data set with 7 observations yielded the following.Use the simple linear regression model where y is the dependent variable and x is the independent variable. $\sum x$ = 21.57 $\sum X ^ { 2 }$ = 68.31 $\sum Y ^ { 2 }$ = 188.9 $\sum Y ^ { 2 }$ = 5,140.23 $\sum X Y$ = 590.83
SSE = 1.06
-Calculate the standard error.

Accepted Answer

The answer of A data set with 7 observations yielded...

Question 11

Consider the following partial computer output from a simple linear regression analysis.
$$\begin{array} { l c l c c } 
\text { Variable } & \text { Coefficient } & \text { Std. Deviation } & \mathrm { T } & \mathrm { P } \
\text { Intercept } & - 28.13 & & - .088 & .9309 \
\mathrm { X } & 1.12 & .04891 & 22.895 & .0001 \
\mathrm { R } ^ { 2 } .9722 & & & &
\end{array}$$
-What is the correlation coefficient?

Accepted Answer

A) 986 
B) 972 
C) 995 
D) 931 
E) 948 
A) 986 
B) 972 
C) 995 
D) 931 
E) 948

Question 12

An experiment was performed on a certain metal to determine if the strength is a function of heating time.The simple linear regression equation is $\hat { y }$ 
= 1 + 1X and sample coefficient of determination r2 =0.7777.The time is in minutes and the strength is measured in g per square cm.Test to determine if there is a significant correlation between the heating time and strength of the metal.
Use H0:r = 0 vs.HA:r ¹ 0 at a = .05
Reject H0,there is a significant correlation between the heating time and the strength of the metal.

Accepted Answer

Question 13

The following results were obtained from a simple regression analysis:$$\hat { y }$$ = 37.2895 - 1.2024x, r2 = 0.6744, $$s _ { b _ { 1 } }$$ = 0.2934
-When x is equal to zero,the estimated value of the mean of y is equal to:

Accepted Answer

A) -1.2024 
B) 6774 
C) 37.2895 
D) 2934 
E) 36.0871 
A) -1.2024 
B) 6774 
C) 37.2895 
D) 2934 
E) 36.0871

Question 14

A simple linear regression on a data set of 12 ordered pairs (x,y)gave the following results: $$\hat { y } = 54.23 + 1.45 x$$ 
MSE = 1.1816
SSxx = 0.9814 $$\bar { x } = 10.8$$ 
Compute a 95% confidence interval for the actual value of y when x = 8?

Accepted Answer

Question 15

A data set with 7 observations yielded the following.Use the simple linear regression model where y is the dependent variable and x is the independent variable. $\sum x$ = 21.57 $\sum X ^ { 2 }$ = 68.31 $\sum Y ^ { 2 }$ = 188.9 $\sum Y ^ { 2 }$ = 5,140.23 $\sum X Y$ = 590.83
SSE = 1.06
-Determine the 95% confidence interval for the average value of y when x = 3.25.

Accepted Answer

The answer of A data set with 7 observations yielded...

Question 16

The ______ is the range of the previously observed values of the dependent variable.

Accepted Answer

The answer of The ______ is the range of the...

Question 17

Provide an interpretation of the y-intercept estimate.

Accepted Answer

If the metal is not

Question 18

Complete the following partial ANOVA table from a simple linear regression analysis with a sample size of 16 observations.Use the F test to test the significance of the $$\begin{array} { l c c c c } 
\text { Source } & \text { SS } & \text { DF } & \text { MS } & \text { F } \
\text { Regression } & & & 309.9 \
\text { Error } & & & & \
\text { Total } & 995.95 & &
\end{array}$$ F = 6.33,reject H0

Accepted Answer

@#IMG-DLM& 
F.05,1,1

Question 19

Consider the following partial computer output from a simple linear regression analysis: $$\begin{array} { l l c c c } 
\text { Predictor } & \text { Coef } & \text { SE Coef } & \mathrm { T } & \mathrm { P } \
\text { Constant } & 5566.1 & 254.0 & 21.91 & 0.000 \
\text { Independent Var } & - 210.35 & 24.19 & - &
\end{array}$$ S = _________ R-Sq =
Analysis of Variance $\begin{array}{lccrcc}
\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \
\text { Regression } & 1 & 3963719 & 3963719 & 75.59 & 0.000 \
\text { Residual Error } & 14 &\_\_\_ & 52439 & &\
\text { Total }&15&\_\_\_
\end{array}$
-What is the coefficient of determination?

Accepted Answer

r² = Explained variat

Question 20

Which of the following is a violation of one of the major assumptions of the simple regression model?

Accepted Answer

A) The error terms are independent of each other. 
B) Histogram of the residuals form a bell-shaped,symmetrical curve. 
C) The error terms occur in a random pattern over time. 
D) As the value of x increases,the value of the error term also increases. 
E) The error terms have a mean of zero for any value of x. 
A) The error terms are independent of each other. 
B) Histogram of the residuals form a bell-shaped,symmetrical curve. 
C) The error terms occur in a random pattern over time. 
D) As the value of x increases,the value of the error term also increases. 
E) The error terms have a mean of zero for any value of x.

In simple regression analysis,the standard error is ___________ greater than the standard deviation of y values.

When there is positive autocorrelation,over time,negative error terms are followed by positive error terms and positive error terms are followed by negative error terms.

In a simple linear regression model,for any value of the dependent variable was assume that the error term follows a ____________ distribution.

The ____________________ is the proportion of the total variation in the dependent variable explained by the regression model.

In a fitted simple linear regression model,the quantity that estimates the amount by which the mean of Y (dependent variable)changes for a unit change in X (independent variable)is called the _____.

Determine the 95% prediction interval for the mean value of y when x = 35 Givens: ∑ x = 277 and ∑ x² = 8705

Consider the following partial computer output from a simple linear regression analysis. Variable Coefficient Std. Deviation Intercept -28.13 -.088 .9309 1.12 .04891 22.895 .0001 .9722 -What is the correlation coefficient?

The following results were obtained from a simple regression analysis: $\hat { y }$ = 37.2895 - 1.2024x, r2 = 0.6744, $s _ { b _ { 1 } }$ = 0.2934 -When x is equal to zero,the estimated value of the mean of y is equal to:

A simple linear regression on a data set of 12 ordered pairs (x,y)gave the following results: $\hat { y } = 54.23 + 1.45 x$ MSE = 1.1816 SS_xx = 0.9814 $\bar { x } = 10.8$ Compute a 95% confidence interval for the actual value of y when x = 8?

The ______ is the range of the previously observed values of the dependent variable.

Provide an interpretation of the y-intercept estimate.

Complete the following partial ANOVA table from a simple linear regression analysis with a sample size of 16 observations.Use the F test to test the significance of the Source SS DF MS F Regression 309.9 Error Total 995.95 F = 6.33,reject H₀

Which of the following is a violation of one of the major assumptions of the simple regression model?

An Introduction to Business Statistics

Descriptive Statistics

Probability

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Multiple Regression and Model Building

Nonparametric Methods

Chi-Square Tests

Decision Theory

Time Series Forecasting

Filters

Exam 11: Correlation Coefficient and Simple Linear Regression Analysis

In simple regression analysis,the standard error is ___________ greater than the standard deviation of y values.

When there is positive autocorrelation,over time,negative error terms are followed by positive error terms and positive error terms are followed by negative error terms.

In a simple linear regression model,for any value of the dependent variable was assume that the error term follows a ____________ distribution.

The ____________________ is the proportion of the total variation in the dependent variable explained by the regression model.

In a fitted simple linear regression model,the quantity that estimates the amount by which the mean of Y (dependent variable)changes for a unit change in X (independent variable)is called the _____.

Determine the 95% prediction interval for the mean value of y when x = 35 Givens: ∑ x = 277 and ∑ x2 = 8705

Consider the following partial computer output from a simple linear regression analysis. Variable Coefficient Std. Deviation Intercept -28.13 -.088 .9309 1.12 .04891 22.895 .0001 .9722 -What is the correlation coefficient?

The following results were obtained from a simple regression analysis: y^\hat { y }y^​ = 37.2895 - 1.2024x, r2 = 0.6744, sb1s _ { b _ { 1 } }sb1​​ = 0.2934 -When x is equal to zero,the estimated value of the mean of y is equal to:

A simple linear regression on a data set of 12 ordered pairs (x,y)gave the following results: y^=54.23+1.45x\hat { y } = 54.23 + 1.45 xy^​=54.23+1.45x MSE = 1.1816 SSxx = 0.9814 xˉ=10.8\bar { x } = 10.8xˉ=10.8 Compute a 95% confidence interval for the actual value of y when x = 8?

The ______ is the range of the previously observed values of the dependent variable.

Provide an interpretation of the y-intercept estimate.

Complete the following partial ANOVA table from a simple linear regression analysis with a sample size of 16 observations.Use the F test to test the significance of the Source SS DF MS F Regression 309.9 Error Total 995.95 F = 6.33,reject H0

Which of the following is a violation of one of the major assumptions of the simple regression model?

An Introduction to Business Statistics

Descriptive Statistics

Probability

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Multiple Regression and Model Building

Nonparametric Methods

Chi-Square Tests

Decision Theory

Time Series Forecasting

Filters

Determine the 95% prediction interval for the mean value of y when x = 35 Givens: ∑ x = 277 and ∑ x² = 8705

The following results were obtained from a simple regression analysis: $\hat { y }$ = 37.2895 - 1.2024x, r2 = 0.6744, $s _ { b _ { 1 } }$ = 0.2934 -When x is equal to zero,the estimated value of the mean of y is equal to:

A simple linear regression on a data set of 12 ordered pairs (x,y)gave the following results: $\hat { y } = 54.23 + 1.45 x$ MSE = 1.1816 SS_xx = 0.9814 $\bar { x } = 10.8$ Compute a 95% confidence interval for the actual value of y when x = 8?

Complete the following partial ANOVA table from a simple linear regression analysis with a sample size of 16 observations.Use the F test to test the significance of the Source SS DF MS F Regression 309.9 Error Total 995.95 F = 6.33,reject H₀