Stats-Regression Line: Predicting Housework from Income

[Jay J]

Homework Statement

Married Women do about one less hour of housework a week for every $7500 they earn as full-time workers outside the home, regardless of their husbands income.

A)What would be the numerical value of the slope coefficient in the regression model that predicts woman's housework from their income? What does the sign of the slope tell us about the relationship between these variables?

B)Suppose Lynette's salary is $30,000 greater than Gabrielle's. What would you predict to be the difference in hours of housework they each do?

Homework Equations

y=mx+b

The Attempt at a Solution

I know for part 2 of A that the slope will be negative, therefore the relationship will be a negative association..but how do you actually calculate the slop with no data?

Help Please

 

[Mark44]

Homework Statement

Married Women do about one less hour of housework a week for every $7500 they earn as full-time workers outside the home, regardless of their husbands income.

A)What would be the numerical value of the slope coefficient in the regression model that predicts woman's housework from their income? What does the sign of the slope tell us about the relationship between these variables?

With the income on the horizontal axis and the hours of housework on the vertical axis, suppose that one data point is ($30,000, y). What would you expect the 2nd coordinate to be if the first coordinate changed to $37,500?

B)Suppose Lynette's salary is $30,000 greater than Gabrielle's. What would you predict to be the difference in hours of housework they each do?

Homework Equations

y=mx+b

The Attempt at a Solution

I know for part 2 of A that the slope will be negative, therefore the relationship will be a negative association..but how do you actually calculate the slop with no data?

Help Please