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Use the following data for questions 20-25: Store Identifier Number of employees Dozens sold each day Sales of featured item each day Profit from Pastry

Use the following data for questions 20-25:

Store Identifier

Number of employees

Dozens sold each day

Sales of featured item each day

Profit from Pastry Sales

Profit from Featured Item Sales

Total Profit

A1

10

6

26

54

808

862

A2

7

11

9

121

436

557

A3

3

13

10

130

530

660

A4

3

9

14

81

610

691

A5

8

3

9

24

118

142

A6

12

7

16

63

560

623

A7

9

15

12

135

244

379

A8

6

3

30

30

590

620

A9

8

4

29

32

535

567

A10

12

7

25

63

775

838

A11

11

15

10

120

540

660

A12

10

7

23

70

761

831

A13

3

12

26

96

178

274

A14

6

11

25

121

925

1046

A15

8

13

17

104

536

640

A16

4

3

10

30

530

560

A17

6

14

22

112

908

1020

A18

4

7

14

70

684

754

A19

7

11

8

110

496

606

A20

8

7

28

77

764

841

For questions 20-24: Management believes that more employees a donut store has the more total profit a store willhave,and they have decided to conduct a linear regression analysis using data from twenty stores.

20)What is the slope of the linear regression equation?

A.9.71

B.588.15

C.0.13

D.0.016

21)What is the coefficient of determination?

A.9.71

B.588.15

C.0.13

D.0.016

22)Management is considering opening a new store with 5 employees.What is the expected total profit?

A.725.25

B.636.70

C.425.18

D.125.62

23)Management wants to ensure they have agoodmodel to predict total profit.Which of the following statements best describes their findings?

A.For coefficient of determination - cannot reject the null hypothesis at the 0.05 level

B.For coefficient of determination -can reject the null hypothesis at the 0.05 level

C.The 95% confidence interval for the slope -28.27 to 47.69 - this range which includes 0 indicates good results

D.The 95% confidence interval for the slope -28.27 to 47.69 - this range which includes 0 indicates bad results

E.Both A and D are correct

24)What is the 95% confidence interval for total profit if a new store has 5 employees?

A.499 to 774

B.137 to 774

C.137 to 499

D.137 to 1136

25)Management believes pastry sales significantly contributes to the variability in total profit.What percent of variability in total profit is explained by profit from pastry sales?

A.28.4%

B.18.8%

C.3.5%

D.81.3%

26)True of false: A linear regression model that is statistically significant is sufficient to prove causation.

A.True

B.False

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