Question

An economist conducted a study of the possible association between weekly income and weekly grocery expenditures. The particular interest was whether higher income would result in shoppers spending more on groceries. A random sample of shoppers at a local supermarket was obtained, and a questionnaire was administered asking about the weekly income of the shopper’s family and the grocery bill for that week. The gender of the shopper was also obtained. The least squares line had a slope of 0.079 . The average amount by which the grocery bill increases for an increase of $100 per week is given by:a. $7.9 .b. The answer cannot be determined from the information provided.c. $0.079 .d. $10.0 .

Answer 1

The answer cannot be determined from the information provided.

Answer: Option B.

Explanation:

A linear regression line has an equation in the form Y = a + bX, where X stands for the explanatory variable and Y is used to denote the dependent variable in the equation. The slope of the line is b, and a is the intercept (the value of y when x = 0).

A regression line (LSRL - Least Squares Regression Line) is a straight line that explains how a dependent variable y changes as an explanatory variable x changes. The line is a mathematical model used to predict the value of y for a given x. Regression requires that we have an explanatory and response variable.