Statistics homework help

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,

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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.

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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 1×1 ​be? Fill in the blank below.

 

 

 

 
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