The basketball coach at a local college believes that his team scores more points at home games when more people show up. Below is a list of all home games last year with scores and corresponding attendance. Use Excel, SPSS, or work by hand to show your work finding r. Show your work on the attached pages. Score Attendance   Score Attendance 54 380   67 410 57 350   78 215 59 320   67 113 80 478   56 250 82 451   85 450 75 250   101 489 73 489   99 472 53 451       a. What is the correlation between Score and Attendance rounded to 2 decimals? b. In terms of strength and direction, how would you describe this correlation?  c. What is the obtained t-score for this correlation?  d. What is the critical t-score for a two-tailed test with a ?  e. Is this correlation significant based on the t-scores? f. Based on Table 10.4, approximately how many cases would you expect to need to observe a relationship of this magnitude with ? g. What is the coefficient of determination for this relationship? h. Interpret for these two variables presuming a causal relationship was expected.

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The basketball coach at a local college believes that his team scores more points at home games when more people show up. Below is a list of all home games last year with scores and corresponding attendance. Use Excel, SPSS, or work by hand to show your work finding r. Show your work on the attached pages.

Score

Attendance

 

Score

Attendance

54

380

 

67

410

57

350

 

78

215

59

320

 

67

113

80

478

 

56

250

82

451

 

85

450

75

250

 

101

489

73

489

 

99

472

53

451

 

 

 

a. What is the correlation between Score and Attendance rounded to 2 decimals?

b. In terms of strength and direction, how would you describe this correlation? 

c. What is the obtained t-score for this correlation? 

d. What is the critical t-score for a two-tailed test with a ? 

e. Is this correlation significant based on the t-scores?

f. Based on Table 10.4, approximately how many cases would you expect to need to observe a relationship of this magnitude with ?

g. What is the coefficient of determination for this relationship?

h. Interpret for these two variables presuming a causal relationship was expected.

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