Question

You may need to use the appropriate technology to answer this question.

The following estimated regression equation based on 10 observations was presented. ŷ = 25.1670 + 0.5102x₁ + 0.4960x₂

Here, SST = 6,734.125, SSR = 6,227.375,  s_b1 = 0.0813,  and  s_b2 = 0.0567.

(a)Compute MSR and MSE. (Round your answers to three decimal places.)

MSR=

MSE=

b) Compute F and perform the appropriate F test. Use α = 0.05.

Find the value of the test statistic. (Round your answer to two decimal places.)

F =

(c) Perform a t test for the significance of β₁.  Use α = 0.05.

Find the value of the test statistic. (Round your answer to two decimal places.)

t=

d) Perform a t test for the significance of β₂.  Use α = 0.05.

t=

Answer 1

a)

p=number of independent variables=				2
MSR =SSR/p =		3113.688
MSE=(SSE/(n-p-1))=		72.393

b)

F test statistic =MSR/MSE=

43.01

c)

t test statistic =coefficient/standard error =

6.28

p value =

0.0004

or p value <0.01

d)

t test statistic =coefficient/standard error =					8.75
p value =	0.0001	or p value <0.01