The regression line for estimating the annual food expenditures or family of fiv

Question

The regression line for estimating the annual food expenditures or family of five (Y) is based on an annual income (x) is given by Y = $500 + 0.4x. a. What is the average yearly expenditure for families with incomes of $18, 500 and $45,000. b. Why would this formula not be appropriate for use with incomes of $O and $1,000,000. Explain. An experiment is conducted to enhance a child's ability to reason deductively. Each child is tested before and after the experiment. The increase in "y" in test scores and the age "x" for a child are modeled by this equation y = 15.65 + 7.5x If two sisters in age differ by four years, by how much are their scores on this test expected to differ.

Explanation / Answer

Q1) a) Yearly expenditure for Incomes of $18500

y = 500+0.4*18500 = $7900

Yearly expenditure for Incomes of $45000

y = 500+0.4*45000 = $18500

b) If Income is $0 , Yearly expenditure will be $500 according to the equation, How can Income of $0 give $500 expenditure

Also, Income of $1000000 is too much, this data point will not appropriate for this model

b) If two sisters differ by four years, their Test scores differ by

Differ in test scores = 7.5*4 = 30

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