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A researcher wanted to find the relationship between the monthly household spending on grocires Y ( in dollars ) and the housholds monthly income X(in

A researcher wanted to find the relationship between the monthly household spending on grocires Y ( in dollars ) and the housholds monthly income X(in dollars)
10 households were randomly selected and data were obtained in the following table
Grocery Spending Y 715 583 484 425 418 418 418 407 405 385 336
Monthly income X 5232 4316 4238 3600 4000 3730 4730 3005 3800 4127 3800
the data stored in the excel sheet
a) Find the regression equation for the data
b) Find the coefficient of determaination and interpret its value
c) Interpret carefully the regression coefficients .
d) At the 5% significance level , do the data provide sufficient eveidence to conclude that the households monthly income is good predictor of the monthly grocery spending?
e) Estimate a point predection for the mean monthly grocery spending of all of the households that have amonthly income 6000 dollars .
f) Estimate a 95% predection interval the monthly grocery spending of a housholds that have monthly income 6000 dollars dollars
g) Estimate a 95 % confidence intereval the mean monthly grocery spending of all households that have monthly income 6000 dollars

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