Question

In a regression analysis involving 30 observations, the following estimated regression equation was obtained.
y=17.6+3.8x₁-2.3x₂+7.6x₃+2.7x₄

For this estimated regression equation SST= 1805 and SSR=1756.

a. At a= 0.05  , test the significance of the relationship among the variables.

SSE=_________________	(to 1 decimal, if necessary)
MSR=________________	(to 1 decimal, if necessary)
MSE=+_______________	(to 2 decimals, if necessary)

What is the value of the F test statistic (to 1 decimal)?
_______________

What is the p-value?
- Select your answer -less than .01,between .01 and .025,between .025 and .05,between .05 and .10,greater than .10

b. Suppose variables x₁ and x₄ are dropped from the model and the following estimated regression equation is obtained.
y=11.1-3.6x₂+8.1x₃

For this model SST=1805 and SSR=1705.

Compute SSE(x₁,x₂,x₃,x₄).
_______________ (to 1 decimal, if necessary)

Compute SSE(x₂,x₃).
__________________ (to 1 decimal, if necessary)

c. Use an F test and a=.05 to determine whether x₁ and x₄ contribute significantly to the model.

What is the value of the F test statistic (to 2 decimals)?
__________________
What is the p-value?
- Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 10

Answer 1

A to n -5 36 5 比 CI Ms R 22 3 180 a., λ. u an Aul a.homW% anA ppg vn

e at 12 32 76 eund ula hve dt: +ri buhm ん.th'.., Hul v alue I7o5 af F 2,31) 8.95H91