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Customer Question

You run a call center...

You run a call center and are concerned about customer support

service levels on the Help Desk. You want to know how many calls

per day are handled by your help desk staff. You collect the data at

left over a 75-day period. Use appropriate descriptive statistics to

make sense of this data. Use an appropriate graph also. Explain

your findings so that your non-quantitative partner will understand

them. (5 pts.)

Help Desk Calls

Day # *****

1 45

2 30

3 53

4 69

5 67

6 45

7 17

8 46

9 32

10 33

11 59

12 74

13 42

14 35

15 38

16 18

17 41

18 63

19 72

20 43

21 45

22 44

23 48

24 48

25 67

26 72

27 41

28 52

29 75

30 40

31 34

32 40

33 88

34 63

35 38

36 48

37 45

38 50

39 150

40 84

41 28

42 37

43 52

44 44

45 49

46 70

47 75

48 58

49 23

50 62

51 10

52 71

53 80

54 70

55 41

56 47

57 99

58 38

59 29

60 83

61 60

62 54

63 35

64 46

65 51

66 58

67 72

68 86

69 48

70 48

71 51

72 62

73 62

74 85

75 150

Can demographic information be helpful in predicting sales at sporting goods stores? The data at left are monthly sales totals from a random sample of 33 stores in a large chain of nationwide sporting goods stores. All stores in the franchise, and thus within the sample, are approximately the same size and carry the same merchandise. The county, or in some cases counties, in which the store draws the majority of its customers is referred to here as the customer base. For each of the 33 set are:

Sales ------Latest one month sales total (dollars)

Income ---Median family income of customer base (dollars)

Age --------Median age of customer base (years)

HS ----------Percentage of customer base with a high school diploma

College ---Percentage of customer base with a college diploma

Growth ---Annual population growth rate of customer base over the past 10 years.

_______________________________________________________________________________________

Q-2a. Construct a scatter plot, using sales as the dependent variable and median family income as the

independent variable. Discuss the scatter plot. (5 pts.)

______________________________________________________________________________________

Q-2b. Assuming a linear relationship, use the least-squares method to compute the regression coefficients

b0and b1 and state the regression equation. (5 pts.)

______________________________________________________________________________________

Q-2c. Interpret the meaning of the Y-intercept, b0, and the slope, b1, in this problem. (5 pts.)

______________________________________________________________________________________

Q-2d. Compute the coefficient of determination r2, and interpret its meaning. (5 pts.)

______________________________________________________________________________________

Q-2e. Construct a 95% confidence interval estimate of the population slope and interpret its meaning. ( 5 pts.)

College

17.8350

31.9439

18.6198

20.6284

35.2032

41.7057

28.0250

15.0882

10.9829

13.2458

19.5500

20.8135

16.9796

32.9920

22.3185

24.5670

30.8790

17.4545

18.6356

38.3249

23.7780

16.9300

19.1429

30.8843

26.5570

28.3600

19.2490

35.4994

18.6375

41.1130

17.8566

26.5426

29.8734

Q-3a. A sample of students from an introductory psychology class were polled regarding the number of hours they spent studying for the last exam. All students anonymously submitted the number of hours on a 3 by 5 card. There were 24 individuals in the one section of the course polled. The data was used to make inferences regarding the other students taking the course. Construct a 95% confidence interval estimate . Explain your findings so that your non-quantitave partner will understand them. Their data is below: (5 pts.)

20 18 7.5 11 10 3.5 7.5 18 19 2.5 9 14

9 14 14.5 17 22 4.5 10.5 15 5 8.5 8 20

service levels on the Help Desk. You want to know how many calls

per day are handled by your help desk staff. You collect the data at

left over a 75-day period. Use appropriate descriptive statistics to

make sense of this data. Use an appropriate graph also. Explain

your findings so that your non-quantitative partner will understand

them. (5 pts.)

Help Desk Calls

Day # *****

1 45

2 30

3 53

4 69

5 67

6 45

7 17

8 46

9 32

10 33

11 59

12 74

13 42

14 35

15 38

16 18

17 41

18 63

19 72

20 43

21 45

22 44

23 48

24 48

25 67

26 72

27 41

28 52

29 75

30 40

31 34

32 40

33 88

34 63

35 38

36 48

37 45

38 50

39 150

40 84

41 28

42 37

43 52

44 44

45 49

46 70

47 75

48 58

49 23

50 62

51 10

52 71

53 80

54 70

55 41

56 47

57 99

58 38

59 29

60 83

61 60

62 54

63 35

64 46

65 51

66 58

67 72

68 86

69 48

70 48

71 51

72 62

73 62

74 85

75 150

Can demographic information be helpful in predicting sales at sporting goods stores? The data at left are monthly sales totals from a random sample of 33 stores in a large chain of nationwide sporting goods stores. All stores in the franchise, and thus within the sample, are approximately the same size and carry the same merchandise. The county, or in some cases counties, in which the store draws the majority of its customers is referred to here as the customer base. For each of the 33 set are:

Sales ------Latest one month sales total (dollars)

Income ---Median family income of customer base (dollars)

Age --------Median age of customer base (years)

HS ----------Percentage of customer base with a high school diploma

College ---Percentage of customer base with a college diploma

Growth ---Annual population growth rate of customer base over the past 10 years.

_______________________________________________________________________________________

Q-2a. Construct a scatter plot, using sales as the dependent variable and median family income as the

independent variable. Discuss the scatter plot. (5 pts.)

______________________________________________________________________________________

Q-2b. Assuming a linear relationship, use the least-squares method to compute the regression coefficients

b0and b1 and state the regression equation. (5 pts.)

______________________________________________________________________________________

Q-2c. Interpret the meaning of the Y-intercept, b0, and the slope, b1, in this problem. (5 pts.)

______________________________________________________________________________________

Q-2d. Compute the coefficient of determination r2, and interpret its meaning. (5 pts.)

______________________________________________________________________________________

Q-2e. Construct a 95% confidence interval estimate of the population slope and interpret its meaning. ( 5 pts.)

College

17.8350

31.9439

18.6198

20.6284

35.2032

41.7057

28.0250

15.0882

10.9829

13.2458

19.5500

20.8135

16.9796

32.9920

22.3185

24.5670

30.8790

17.4545

18.6356

38.3249

23.7780

16.9300

19.1429

30.8843

26.5570

28.3600

19.2490

35.4994

18.6375

41.1130

17.8566

26.5426

29.8734

Q-3a. A sample of students from an introductory psychology class were polled regarding the number of hours they spent studying for the last exam. All students anonymously submitted the number of hours on a 3 by 5 card. There were 24 individuals in the one section of the course polled. The data was used to make inferences regarding the other students taking the course. Construct a 95% confidence interval estimate . Explain your findings so that your non-quantitave partner will understand them. Their data is below: (5 pts.)

20 18 7.5 11 10 3.5 7.5 18 19 2.5 9 14

9 14 14.5 17 22 4.5 10.5 15 5 8.5 8 20

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