Data from a sample of 40 households is obtained to study the relationship betwee
ID: 3315441 • Letter: D
Question
Data from a sample of 40 households is obtained to study the relationship between the amount households spend on food per week and the household weekly income. We want to perform a regression analysis to determine to what extent household expenditure on food per week is related to the household weekly income.
The numerator of the slope coefficient formula for the estimated regression equation is 18,689.3.
The denominator of the slope coefficient formula for the estimated regression equation is 1,828.79.
The vertical intercept of the estimated regression equation is 82.249.
The estimated regression equation predicts that for each additional $100 weekly income expenditure on food would increase by $10.22.
One househould in the sample has a weekly income of $14.2 (hundreds). The predicted expenditure on food for this household is $228.
y = FOOD The dollar amount spent on food per week. x = INCOME Weekly income in 100's of dollarsExplanation / Answer
6) prediction error =actual-predicted =267-228=39
option B is correct
7)
sum of squared errors (SSE) =(y y)² =304,389.51
option C
8)The sum of squared explained deviations (SSR) =SST-SSE =495,385.60-304,389.51 =190,996.09
option D
9)
sum of squared total (SST =495,385.60 option C
10) MSE =SSE/(n-2) =304,389.51/38=8010.25
therefore std deviation =(8010.25)1/2 =89.50
option b
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