statistics questions

Suppose a​ least-squares regression line is given by ModifyingAbove y with caret equals 4.302 x minus 3.293y=4.302x−3.293. What is the mean value of the response variable if x=20​?

In the​ least-squares regression​ model, 

y Subscript i Baseline equals beta 1 x Subscript i Baseline plus beta 0 plus epsilon Subscript iyi=β1xi+β0+εi​, 

epsilon Subscript iεi 

is a random error term with mean​ ____ and standard deviation 

sigma Subscript epsilon Sub Subscript iσεi 

​= ____.

x3,4,5,7,8, y5,7,6,13,15

​(a)  Find the estimates of beta 0β0
and beta 1β1.

x20,30,40,50,60 y100,97,91,83,68

​(a) Use technology to find the estimates of beta 0β0
and beta 1β1.

(a) Treating the rate of return of the index as the explanatory​ variable, x, use technology to determine the estimates of beta 0β0
and beta 1β1.

The estimate of beta 0β0
is ? Month

Rates of return of the​index, x

Rates of return of the company​ stock, y

​Apr-07

4.33            

3.38            

​May-07

3.35            

5.09            

​Jun-07

−1.78            

0.54            

​Jul-07

−3.20            

2.88            

​Aug-07

1.29            

2.69            

​Sept-07

3.58            

7.41            

​Oct-07

1.48            

−4.83            

​Nov-07

−4.40            

−2.38            

​Dec-07

−0.86            

2.37            

​Jan-08

−6.12            

−4.27            

​Feb-08

−3.48            

−3.77       

Suppose a multiple regression model is given by ModifyingAbove y with caretyequals=4.27x 1+7.11x 2+30.46 What would an interpretation of the coefficient of x 1x1 ​be? Fill in the blank below.