12.3.4-TQuestion Help

Suppose you fit thefirst-order multiple regression model y

yequals

=beta 0 plus beta 1 x 1 plus beta 2 x 2 plus epsilon

0+1x1+2x2+ to n equals 25

n=25 data points and obtain the prediction equation ModifyingAbove y with caret

yequals

=negative 53.43 plus 3.87 x 1 plus 1.83 x 2

53.43+3.87x1+1.83x2. The estimated standard deviations of the sampling distributions of beta 1

1 and beta 2

2 are 0.57

0.57 and 0.28

0.28, respectively.

a. Test Upper H 0 : beta 2 equals 0

H0:2=0 against Upper H Subscript a Baseline : beta 2 greater than 0

Ha:2>0. Use alpha

equals

=0.05

0.05.

b. Find a 99

99% confidence interval for beta 2

2. Interpret the interval.

a. The test statistic is

6.536

6.536.

(Round to three decimal places asneeded.)

Thep-value is

nothing

.

(Round to three decimal places asneeded.)

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