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 theindex, 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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