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The yearly tuition costs (x, in hundreds of dollars), for six state universities are given in the table below. For each university the student/faculty ratio (y) is also given, expressed as the number of students for each faculty member.
Tuition Cost
Student Faculty Ration
55
10
79
6
58
18
71
15
89
4
65
19
a) What is the slope of the least squares line? Interpret this value.
b) What is the correlation between tuition cost and student/faculty ratio? Interpret this ?value.
c) Would it be appropriate to predict the student/faculty ratio in a university with tuition ?costs of $2,000?
d) What is the residual for the university with tuition costs of $5,500?
e) What is the total amount of squared variability that exists in the student/faculty ratio variable?
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