Y X1 X2 X3 X4 782 759 0 19981 432941 633 682 1 395441 422244

Y

X1

X2

X3

X4

78.2

75.9

0

1.9981

4.32941

63.3

68.2

1

39.5441

4.22244

Source

DF

SS

F-value

Pr > F

Model

2

??????

??????

<0.0001

Error

27

??????

Corrected Total

29

2353.65367

Variable

DF

Parameter Estimate

Standard Error

Type I SS

Type II SS

Intercept

1

-124.30436

20.84

1908.34

651.70

X1

1

2.73731

0.27810

1852.90

1793.49

X3

1

0.01907

0.08345

??????

0.91

c) Compute type 1 partial correlation to nearest 4 digits.

d) Construct 95% CI using Bonferroni procedure for B1 and B2. Based on intervals, do we need both X1 and X3?

e) For test Ho: B1=B2=0, write down Ha, compute test statistic and state conclusion. Is it consistent with Bonferroni intervals?

Y	X1	X2	X3	X4
78.2	75.9	0	1.9981	4.32941
63.3	68.2	1	39.5441	4.22244

Solution

SS           F

2050       0.50

353