# Suppose a​ least-squares regression line is given by ModifyingAbo

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 1×1 ​be? Fill in the blank below.

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