1. The following are midterm and ?nal examination test scores for 10 calculus students, where x denotes the midterm score and y denotes the ?nal score for each student.
|
x
|
68
|
87
|
75
|
91
|
82
|
77
|
86
|
82
|
75
|
79
|
|
y
|
74
|
89
|
80
|
93
|
88
|
79
|
97
|
95
|
89
|
92
|
Obtain a 95% prediction interval for x = 92 and interpret its meaning.
2. The following data give the annual incomes (in thousands of dollars) and amounts (in thousands of dollars) of life insurance policies for eight persons.
|
Annual income
|
42
|
58
|
27
|
36
|
70
|
24
|
53
|
37
|
|
Life insurance
|
150
|
175
|
25
|
75
|
250
|
50
|
250
|
100
|
Obtain a 90% prediction interval for x = 59 and interpret its meaning.