Deck 15: Multiple Regression
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Deck 15: Multiple Regression
1
In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and turnover rate, etc.Employee surveys are often
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The output is shown below.
The correct interpretation of the regression coefficient associated with Average Bonus is
A)Holding the trust index constant, increasing the average annual bonus by $100 will
B)For companies that have the same score on the trust index, increasing the average
C)For companies that have the same score on the trust index, increasing the average
D)An increase of $100 in the average annual bonus decreases the turnover rate by 7.15%.
E)None of the above.
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The output is shown below.

A)Holding the trust index constant, increasing the average annual bonus by $100 will
B)For companies that have the same score on the trust index, increasing the average
C)For companies that have the same score on the trust index, increasing the average
D)An increase of $100 in the average annual bonus decreases the turnover rate by 7.15%.
E)None of the above.
B
2
What affects flat panel LCD TV sales? Flat panel LCD TV's are sold through a variety of outlets.Sales figures (number of units) for the popular Sony Bravia were
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.Output is shown
Below.
Using the estimated multiple regression model, the number of units sold on average at a
Store that sells the Sony Bravia for $2199 and spends 10% of its advertising budget on the
Product is
A)53.94 units
B)120 units
C)66.54 units
D)90.34 units
E)None of the above.
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.Output is shown
Below.

Store that sells the Sony Bravia for $2199 and spends 10% of its advertising budget on the
Product is
A)53.94 units
B)120 units
C)66.54 units
D)90.34 units
E)None of the above.
A
3
In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and turnover rate, etc.Employee surveys are often
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The output is shown below.
The estimated multiple regression model is
A)Turnover Rate = 0.01966 Trust Index + 0.0001481 Average Bonus
B)Turnover Rate = 0.7826 + 0.01966 Trust Index + 0.0001481 Average Bonus
C)Turnover Rate = 12.1005 - 0.07149 Trust Index - 0.0007216 Average Bonus
D)Turnover Rate = 12.1005 + 0.07149 Trust Index + 0.0007216 Average Bonus
E)Turnover Rate = 15.46 - 3.64 Trust Index - 4.87 Average Bonus
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The output is shown below.

A)Turnover Rate = 0.01966 Trust Index + 0.0001481 Average Bonus
B)Turnover Rate = 0.7826 + 0.01966 Trust Index + 0.0001481 Average Bonus
C)Turnover Rate = 12.1005 - 0.07149 Trust Index - 0.0007216 Average Bonus
D)Turnover Rate = 12.1005 + 0.07149 Trust Index + 0.0007216 Average Bonus
E)Turnover Rate = 15.46 - 3.64 Trust Index - 4.87 Average Bonus
C
4
What affects flat panel LCD TV sales? Flat panel LCD TV's are sold through a variety of outlets.Sales figures (number of units) for the popular Sony Bravia were
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.Output is shown
Below.
A)3.60
B)-3.04
C)8.40
D)10.61
E)None of the above
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.Output is shown
Below.

A)3.60
B)-3.04
C)8.40
D)10.61
E)None of the above
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5
In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and turnover rate, etc.Employee surveys are often
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The partial analysis of variance table is shown below.
The calculated F statistic to determine the overall significance of the estimated multiple
Regression model using average annual bonus and trust index to explain turnover rate is
A)58.64
B)1.497
C)131.36
D)78.3
E)2.24
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The partial analysis of variance table is shown below.

Regression model using average annual bonus and trust index to explain turnover rate is
A)58.64
B)1.497
C)131.36
D)78.3
E)2.24
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6
What affects flat panel LCD TV sales? Flat panel LCD TV's are sold through a variety of outlets.Sales figures (number of units) for the popular Sony Bravia were
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.Output is shown
Below.
15-24 Chapter 15 Multiple Regression
The calculated F statistic to determine the overall significance of the estimated multiple
Regression model is
A)10.61
B)73.23
C)112.5
D)3.60
E)None of the above
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.Output is shown
Below.

The calculated F statistic to determine the overall significance of the estimated multiple
Regression model is
A)10.61
B)73.23
C)112.5
D)3.60
E)None of the above
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7
In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and turnover rate, etc.Employee surveys are often
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100), and the regression output is shown below.
15-18 Chapter 15 Multiple Regression
At α = .01 we can conclude that
A)The multiple regression model is significant overall.
B)Trust Index is a significant independent variable in explaining turnover rate.
C)Average Annual Bonus is a significant independent variable in explaining turnover
E)A, B and C
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100), and the regression output is shown below.
15-18 Chapter 15 Multiple Regression

A)The multiple regression model is significant overall.
B)Trust Index is a significant independent variable in explaining turnover rate.
C)Average Annual Bonus is a significant independent variable in explaining turnover
E)A, B and C
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8
In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and turnover rate, etc.Employee surveys are often
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The results are shown below.
A)For companies that give the same average annual bonus, an increase of 10 points on
B)An increase of 10 points on the trust index results in a decrease of 7.2% in turnover
C)Holding average annual bonus constant, increasing the trust index by 10 points will
D)For companies that give the same average annual bonus, an increase of 10 points on
E)None of the above.
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The results are shown below.

A)For companies that give the same average annual bonus, an increase of 10 points on
B)An increase of 10 points on the trust index results in a decrease of 7.2% in turnover
C)Holding average annual bonus constant, increasing the trust index by 10 points will
D)For companies that give the same average annual bonus, an increase of 10 points on
E)None of the above.
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9
What affects flat panel LCD TV sales? Flat panel LCD TV's are sold through a variety of outlets.Sales figures (number of units) for the popular Sony Bravia were
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.The results are shown
Below.
The correct interpretation of the regression coefficient for Advertising is
A)While price negatively affects the number of Sony Bravia LCD TV's sold, an increase
B)At a given price, increasing the amount spent on advertising the Sony Bravia over the
C)A one percent increase in the amount spent on advertising the Sony Bravia over the
D)At a given price, a one percent increase in the amount spent on advertising the Sony
E)None of the above.
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.The results are shown
Below.

A)While price negatively affects the number of Sony Bravia LCD TV's sold, an increase
B)At a given price, increasing the amount spent on advertising the Sony Bravia over the
C)A one percent increase in the amount spent on advertising the Sony Bravia over the
D)At a given price, a one percent increase in the amount spent on advertising the Sony
E)None of the above.
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10
What affects flat panel LCD TV sales? Flat panel LCD TV's are sold through a variety of outlets.Sales figures (number of units) for the popular Sony Bravia were
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.A multiple regression
Model was fit to the data and the plot of residuals versus predicted values is shown
Below.What does the residual plot suggest?
A)The Linearity condition is not satisfied.
B)There is an extreme departure from normality.
C)The variance is not constant.
D)The presence of a couple of outliers.
E)The plot thickens from left to right.
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.A multiple regression
Model was fit to the data and the plot of residuals versus predicted values is shown
Below.What does the residual plot suggest?

A)The Linearity condition is not satisfied.
B)There is an extreme departure from normality.
C)The variance is not constant.
D)The presence of a couple of outliers.
E)The plot thickens from left to right.
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11
In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and turnover rate, etc.Employee surveys are often
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The output is shown below.
The correct null hypotheses for testing the regression coefficient of Trust Index is 
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The output is shown below.


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12
In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and turnover rate, etc.Employee surveys are often
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The output is shown below.
A)2.24%
B)79.6%
C)12.1%
D)95.4%
E)None of the above.
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The output is shown below.

A)2.24%
B)79.6%
C)12.1%
D)95.4%
E)None of the above.
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13
In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and turnover rate, etc.Employee surveys are often
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The output is shown below.
A company having a trust index score of 70 and an average annual bonus of $6500 has a
Predicted turnover rate of
A)3.5%
B)4.2%
C)1.9%
D)2.4 %
E)None of the above.
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The output is shown below.

Predicted turnover rate of
A)3.5%
B)4.2%
C)1.9%
D)2.4 %
E)None of the above.
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14
What affects flat panel LCD TV sales? Flat panel LCD TV's are sold through a variety of outlets.Sales figures (number of units) for the popular Sony Bravia were
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.Shown below are
Scatterplots of sales versus both selling price and amount spent on advertising.
15-26 Chapter 15 Multiple Regression
Based on these plots, we can say that
A)the nearly normal assumption is satisfied.
B)the randomization condition is satisfied.
C)the linearity condition is satisfied.
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.Shown below are
Scatterplots of sales versus both selling price and amount spent on advertising.


A)the nearly normal assumption is satisfied.
B)the randomization condition is satisfied.
C)the linearity condition is satisfied.
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15
What affects flat panel LCD TV sales? Flat panel LCD TV's are sold through a variety of outlets.Sales figures (number of units) for the popular Sony Bravia were
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.Output is shown
Below.
The correct null and alternative hypotheses for testing the regression coefficient of Price
Is
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.Output is shown
Below.

Is

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16
In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and turnover rate, etc.Employee surveys are often
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The output is shown below.
Based on the output, the 95% confidence interval for the regression coefficient associated
With Trust Index is
A)-0.1116 to -0.0313
B)-0.1049 to -0.0381
C)-0.1100 to -0.3296
D)-0.0010 to -0.0004
E)-0.0912 to -0.0518
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change.A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%).A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100).The output is shown below.

With Trust Index is
A)-0.1116 to -0.0313
B)-0.1049 to -0.0381
C)-0.1100 to -0.3296
D)-0.0010 to -0.0004
E)-0.0912 to -0.0518
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17
What affects flat panel LCD TV sales? Flat panel LCD TV's are sold through a variety of outlets.Sales figures (number of units) for the popular Sony Bravia were
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.Output is shown
Below.
Based on the output shown below, how much of the variability in Sales is explained by
The estimated multiple regression model?
A)15.57%
B)6.90%
C)84.43%
D)29%
E)None of the above.
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.Output is shown
Below.

The estimated multiple regression model?
A)15.57%
B)6.90%
C)84.43%
D)29%
E)None of the above.
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18
What affects flat panel LCD TV sales? Flat panel LCD TV's are sold through a variety of outlets.Sales figures (number of units) for the popular Sony Bravia were
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.The results are shown
Below.
15-20 Chapter 15 Multiple Regression
The correct interpretation of the regression coefficient for Price is
A)Increasing the price of the Sony Bravia by $100 will result in at least 3 fewer TV's
B)For a given amount spent on advertising, a $100 increase in price of the Sony Bravia is
C)Holding the amount spent on advertising constant, an increase of $100 in the price of
D)Holding the amount spent on advertising constant, an increase of $100 in the price of
E)None of the above.
Obtained for last quarter from a sample of 30 different stores.Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store.The results are shown
Below.

The correct interpretation of the regression coefficient for Price is
A)Increasing the price of the Sony Bravia by $100 will result in at least 3 fewer TV's
B)For a given amount spent on advertising, a $100 increase in price of the Sony Bravia is
C)Holding the amount spent on advertising constant, an increase of $100 in the price of
D)Holding the amount spent on advertising constant, an increase of $100 in the price of
E)None of the above.
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