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.