Pleas answer the questions not highlighted. Data from a sample of 40 households
ID: 3315468 • Letter: P
Question
Pleas answer the questions not highlighted.
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 variables of the regression equation are y= FOOD X-INCOME The dollar amount spent on food per week. Weekly income in 100's of dollars Use the following calculations in the relevant formulas to answer questions_to 40 19.605 283.60 3x2 = (x-x)(y-y) = (x-x,-= 17,202.64 18,689.34 1,828.79 1The numerator of the slope coefficient formula for the estimated regression equation is A 18,689.3 B 18,315.6 C 17,949.2 D 17,590.3 2The denominator of the slope coefficient formula for the estimated regression equation is A 1,901.94 B 1,828.79 C 1,773.92 D 1,720.71Explanation / Answer
Answer to question# 6)
The prediction error = Actual value - Predicted value
prediction error = 267 -228 = 39
The correct answer choice is : B
.
Answer to question# 10)
Average deviation = sqrt (SSE / (n-2))
Average deviation = sqrt(304389.51/(40-2))
Average deviation = 89.5
Thus the correct answer choice is B
.
Answer to question# 11)
R square = SSR / SST
R square = 190996.09 / 495385.6 = 0.3855 ~ 0.386
Thus answer A is correct
.
Answer to question# 12)
Se(b) = Average deivation / sqrt(deivations of x)
Se (b) = 89.5 / sqrt(1828.79) = 2.09
Thus answer choice D is correct