SUMMARY OUTPUT
Regression Statistics
Multiple R
0.634342
R Square
0.402389 (*R square*How well gpa(y) is a good predit for the high school predictor(x).
Adjusted R Square
0.342628 In this case 40.2% of the variation in college gpa is determined by the hig
Formulas for MA 222
z=
data mean
stddev
Normal distribution:
z=
p -distribution:
z=
x
p
(1 )
n
z=
x -distribution:
x
n
Confidence Intervals for Proportions:
p E
where E = z *
p (1 p )
n
80% confidence level:
z * = 1.28
90% confidence level:
z * = 1.65
inches)
x
Height (in inches) regression line
y
slope b
intercept a
10
72
1.77
9
60
9.2
66
10.5
66 PREDICTIONS
8.75
65 x
y
8.5
59
9 65.14
10
65
6.5
60 inches
8
65
9.5
64
8
65
10
69
80
9.25
67
8.25
68
70
9.5
66
49.24
60
50
r
on the given data.
0.5278471597