The following data is to be used to construct a regression model: \[\begin{array} { l l l l l l l } X & 3 & 5 & 7 & 4 & 8 & 10 &9\\ Y & 5 & 4 & 5 & 4 & 7 & 10&8 \end{array}\] The regression equation is _______________.

A) = 16.49 + 1.43x B) = 1.19 + 0.91x C) = 1.19 + 0.75x D) = 0.75 + 0.18x E) = 0.91 + 4.06x A) = 16.49 + 1.43x B) = 1.19 + 0.91x C) = 1.19 + 0.75x D) = 0.75 + 0.18x E) = 0.91 + 4.06x

In a regression analysis if SST = 150 and SSR = 100, r 2 = _________.

A) 0.82 B) 1.22 C) 1.50 D) 0.67 E) -1.00 A) 0.82 B) 1.22 C) 1.50 D) 0.67 E) -1.00

Exam 12: Simple Regression Analysis and Correlation

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

Free

(Multiple Choice)

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Question 1

Correct Answer:

Verified

The assumptions underlying simple regression analysis include ______________.

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(Multiple Choice)

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Question 2

Correct Answer:

Verified

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

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(True/False)

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Question 3

Correct Answer:

Verified

True

If the correlation coefficient between two variables is -1, it means that the two variables are not related.

(True/False)

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Question 4

A standard deviation of the error of the regression model is called the _______.

(Multiple Choice)

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Question 5

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 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 Source df SS MS F Regresssumm 1 7685099 1685099 19.3444 Residual 9 7839.915 871.1017 Total 10 24690.91 =29.51448 =0.682478 Abby's regression model is __________.s), and her independent variable is annual household income (in $1,000's).Regression analysis of the data yielded the following tables. \begin{array}{|c|c|c|c|c|} \hline \text { Source } & \text { df } & \text { SS } & \text { MS } & F \\ \hline \text { Regresssumm } & 1 & 7685099 & 1685099 & 19.3444 \\ \hline \text { Residual } & 9 & 7839.915 & 871.1017 & \\ \hline \text { Total } & 10 & 24690.91 & & \\ \hline \end{array} \begin{array} { | l | } \hline S _ { \mathrm { d } } = 29.51448 \\ \hline r ^ { 2 } = 0.682478 \\ \hline \end{array} Abby's regression model is .$ Source df SS MS F Regresssumm 1 7685099 1685099 19.3444 Residual 9 7839.915 871.1017 Total 10 24690.91 =29.51448 =0.682478 Abby's regression model is .

(Multiple Choice)

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Question 6

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 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 Soures df SS MS F Regressimm 1 76850.99 16850.99 19.3444 Residual 9 7839.915 871.10017 Total 10 24690.91 =29.51448 =0.682478 Abby's sample size (n)is __________.s), and her independent variable is annual household income (in $1,000's).Regression analysis of the data yielded the following tables. \begin{array}{|c|c|c|c|c|} \hline \text { Soures } & \text { df } & \text { SS } & \text { MS } & F \\ \hline \text { Regressimm } & 1 & 76850.99 & 16850.99 & 19.3444 \\ \hline \text { Residual } & 9 & 7839.915 & 871.10017 & \\ \hline \text { Total } & 10 & 24690.91 & & \\ \hline \end{array} \begin{array} { | l | } \hline S _ { \mathrm { e } } = 29.51448 \\ \hline r ^ { 2 } = 0.682478 \\ \hline \end{array} Abby's sample size (n)is .$ Soures df SS MS F Regressimm 1 76850.99 16850.99 19.3444 Residual 9 7839.915 871.10017 Total 10 24690.91 =29.51448 =0.682478 Abby's sample size (n)is .

(Multiple Choice)

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Question 7

The equation of the trend line for the data based on sales (in $1000)of a local restaurant over the years 2005-2010 is Sales= -265575+132.571*year.The equation of the trend line when using 5 to 10 for 2005-2010 is ________

(Multiple Choice)

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Question 8

The following data is to be used to construct a regression model: X 3 5 7 4 8 10 9 Y 5 4 5 4 7 10 8 The regression equation is _______________.

(Multiple Choice)

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Question 9

The following residuals plot indicates _______________.

(Multiple Choice)

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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. $Annie Mikhail, market analyst for a national company specializing in historic city tours, is analyzing the relationship between the sales revenue from historic city tours and the size of the city.She gathers data from six cities in which the tours are offered.Annie's dependent variable is annual sales revenues and her independent variable is the city population.Regression analysis of the data yielded the following tables. \begin{array}{|c|c|c|c|c|} \hline \text { Souros } & \text { df } & \text { SS } & \text { MS } & F \\ \hline \text { Recrem } & 1 & 3.550325 & 3.550325 & 63.20809 \\ \hline \text { Residval } & 4 & 0224675 & 0.056169 & \\ \hline \text { Total } & 5 & 3.775 & & \\ \hline \end{array} \begin{array} { | c | } \hline S _ { \mathrm { e} } = 0.237 \\ \hline r ^ { 2 } = 0.940483 \\ \hline \end{array} For a city with a population of 500,000, Annie's model predicts annual sales of .$ Souros df SS MS F Recrem 1 3.550325 3.550325 63.20809 Residval 4 0224675 0.056169 Total 5 3.775 =0.237 =0.940483 For a city with a population of 500,000, Annie's model predicts annual sales of .

(Multiple Choice)

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Question 11

In the regression equation, ŷ=2.164+1.3657x and n=6, the mean of x is 8.667, SS_xx=89.333 and S_e=3.44.A 95% prediction interval for y when x=8 is _________

(Multiple Choice)

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Question 12

Regression methods can be pursued to estimate trends that are linear in time.

(True/False)

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Question 13

A simple regression model for 10 pair of data resulted in a standard error of 3.95 , and the.The sum of squares of error (SSE)is ______.

(Multiple Choice)

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Question 14

Consider the following scatter plot and regression line.At x = 50, the residual (error term)is _______.

(Multiple Choice)

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Question 15

A researcher has developed a regression model from fourteen pairs of data points.He wants to test if the slope is significantly different from zero.He uses a two- tailed test and $\alpha$ = 0.01.The critical table t value is _______.

(Multiple Choice)

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Question 16

A manager wants to predict the cost (y)of travel for salespeople based on the number of days (x)spent on each sales trip.The following model has been developed: ŷ = $400 + 120x.If a trip took 4 days, the predicted cost of the trip is _____________.

(Multiple Choice)

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Question 17

In a regression analysis if SST = 150 and SSR = 100, r ² = _________.

(Multiple Choice)

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Question 18

For a certain data set the regression equation is ŷ = 37 + 13x.The correlation coefficient between y and x in this data set _______.

(Multiple Choice)

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Question 19

A manager wants to predict the cost (y)of travel for salespeople based on the number of days (x)spent on each sales trip.The following model has been developed: ŷ = $400 + 120x.If a trip took 3 days, the predicted cost of the trip is _____________.

(Multiple Choice)

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Question 20

Showing 1 - 20 of 111

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

The assumptions underlying simple regression analysis include ______________.

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

If the correlation coefficient between two variables is -1, it means that the two variables are not related.

A standard deviation of the error of the regression model is called the _______.

The equation of the trend line for the data based on sales (in $1000)of a local restaurant over the years 2005-2010 is Sales= -265575+132.571*year.The equation of the trend line when using 5 to 10 for 2005-2010 is ________

The following data is to be used to construct a regression model: X 3 5 7 4 8 10 9 Y 5 4 5 4 7 10 8 The regression equation is _______________.

The following residuals plot indicates _______________.

In the regression equation, ŷ=2.164+1.3657x and n=6, the mean of x is 8.667, SS_xx=89.333 and S_e=3.44.A 95% prediction interval for y when x=8 is _________

Regression methods can be pursued to estimate trends that are linear in time.

A simple regression model for 10 pair of data resulted in a standard error of 3.95 , and the.The sum of squares of error (SSE)is ______.

Consider the following scatter plot and regression line.At x = 50, the residual (error term)is _______.

A researcher has developed a regression model from fourteen pairs of data points.He wants to test if the slope is significantly different from zero.He uses a two- tailed test and $\alpha$ = 0.01.The critical table t value is _______.

A manager wants to predict the cost (y)of travel for salespeople based on the number of days (x)spent on each sales trip.The following model has been developed: ŷ = $400 + 120x.If a trip took 4 days, the predicted cost of the trip is _____________.

In a regression analysis if SST = 150 and SSR = 100, r ² = _________.

For a certain data set the regression equation is ŷ = 37 + 13x.The correlation coefficient between y and x in this data set _______.

A manager wants to predict the cost (y)of travel for salespeople based on the number of days (x)spent on each sales trip.The following model has been developed: ŷ = $400 + 120x.If a trip took 3 days, the predicted cost of the trip is _____________.

Introduction to Statistics and Business Analytics

Visualizing Data With Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 12: Simple Regression Analysis and Correlation

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

The assumptions underlying simple regression analysis include ______________.

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

If the correlation coefficient between two variables is -1, it means that the two variables are not related.

A standard deviation of the error of the regression model is called the _______.

The equation of the trend line for the data based on sales (in $1000)of a local restaurant over the years 2005-2010 is Sales= -265575+132.571*year.The equation of the trend line when using 5 to 10 for 2005-2010 is ________

The following data is to be used to construct a regression model: X 3 5 7 4 8 10 9 Y 5 4 5 4 7 10 8 The regression equation is _______________.

The following residuals plot indicates _______________.

In the regression equation, ŷ=2.164+1.3657x and n=6, the mean of x is 8.667, SSxx=89.333 and Se=3.44.A 95% prediction interval for y when x=8 is _________

Regression methods can be pursued to estimate trends that are linear in time.

A simple regression model for 10 pair of data resulted in a standard error of 3.95 , and the.The sum of squares of error (SSE)is ______.

Consider the following scatter plot and regression line.At x = 50, the residual (error term)is _______.

A researcher has developed a regression model from fourteen pairs of data points.He wants to test if the slope is significantly different from zero.He uses a two- tailed test and α\alphaα = 0.01.The critical table t value is _______.

A manager wants to predict the cost (y)of travel for salespeople based on the number of days (x)spent on each sales trip.The following model has been developed: ŷ = $400 + 120x.If a trip took 4 days, the predicted cost of the trip is _____________.

In a regression analysis if SST = 150 and SSR = 100, r 2 = _________.

For a certain data set the regression equation is ŷ = 37 + 13x.The correlation coefficient between y and x in this data set _______.

A manager wants to predict the cost (y)of travel for salespeople based on the number of days (x)spent on each sales trip.The following model has been developed: ŷ = $400 + 120x.If a trip took 3 days, the predicted cost of the trip is _____________.

Introduction to Statistics and Business Analytics

Visualizing Data With Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

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

In the regression equation, ŷ=2.164+1.3657x and n=6, the mean of x is 8.667, SS_xx=89.333 and S_e=3.44.A 95% prediction interval for y when x=8 is _________

A researcher has developed a regression model from fourteen pairs of data points.He wants to test if the slope is significantly different from zero.He uses a two- tailed test and $\alpha$ = 0.01.The critical table t value is _______.

In a regression analysis if SST = 150 and SSR = 100, r ² = _________.