3. Consider a simple linear regression model (Y: Consumption, X: Disposable Income) Yị = $1 + 2X+ei according to the data (n = 10) given, we have n Σ(x − x)2 i=1 n i=1 X = Σ(Yi-Y)² n Y = 1 ΣΥ=70 Σy = 597 i=1 n i=30 ) X? =147 i=1 ΣXiYi i=1 n Σ? = 1.2 i=1 = n 57 = 107 1 i=1 n 3 ) X = i=1 n n 225, (X₁-X)(Y; - Y) = 15 i=1 (a) Obtain the estimates of 32 and 3₁ based on the numerical information given above. (b) Calculate the estimate of Var (32). (4) (c) Write down your fitted regression (estimated regression) model, and interpret the results. (d) Predict Yo value (the level of consumption) when the value of Xo (Income level) is given
3. Consider a simple linear regression model (Y: Consumption, X: Disposable Income) Yị = $1 + 2X+ei according to the data (n = 10) given, we have n Σ(x − x)2 i=1 n i=1 X = Σ(Yi-Y)² n Y = 1 ΣΥ=70 Σy = 597 i=1 n i=30 ) X? =147 i=1 ΣXiYi i=1 n Σ? = 1.2 i=1 = n 57 = 107 1 i=1 n 3 ) X = i=1 n n 225, (X₁-X)(Y; - Y) = 15 i=1 (a) Obtain the estimates of 32 and 3₁ based on the numerical information given above. (b) Calculate the estimate of Var (32). (4) (c) Write down your fitted regression (estimated regression) model, and interpret the results. (d) Predict Yo value (the level of consumption) when the value of Xo (Income level) is given
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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