The following estimated regression equation was developed for a model involving two independent variables.

y hat = 40.7 + 8.63x1 +2.71x2

After x2 was dropped from the model, the least squares method was used to obtain an estimated regression equation involving only x1 as an independent variable.

y hat = 42.0 + 9.01x1

a. In the two independent variable case, the coefficient x1 represents the expected change in - Select your answer -yx1x2Item 1corresponding to a one unit increase in - Select your answer -yx1x2Item 2 when - Select your answer -yx1x2Item 3 is held constant.

In the single independent variable case, the coefficient x1 represents the expected change in - Select your answer -yx1x2Item 4corresponding to a one unit increase in - Select your answer -yx1x2Item 5 .

b. Could multicollinearity explain why the coefficient of x1 differs in the two models? Assume that x1 and x2 are correlated.
- Select your answer -Yes, because a change in x1 would be accompanied by a change in x2Yes, because a change in x1 would not be accompanied by a change in x2

Step-by-step explanation:

Hello!

Given the estimated regression equations

^Y= 40.7 + 8.63X₁ + 2.71X₂

and after the second independent variable was removed from the model:

^Y= 42.0 + 9.01X₁

a.

For the first regression equation:

The coefficient 8.63 represents the change of the sample mean of Y when X₁ increases one unit and X₂ remains constant.

For the second regression equation:

The coefficient 9.01 represents the change of the sample mean of Y when X₁ increases one unit.

b.

If the two independent variables X₁ and X₂ are correlated, this means that the observed values of X₁ change when analyzed altogether with X₂.

And when analyzed alone, the values of X₁ will be different, that's why the estimated coefficients for X₁ was different when calculated for the multiple regression and the simple regression.

Correct Yes, because a change in X₁ would be accompanied by a change in X₂

I hope this helps!

f(x)=2/3x+4/3 is the answer because is whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation:

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )