Using actual age values a linear regression relating proport

Using actual age values, a linear regression relating proportion of romance movie hires to subject age was fit. The intercept and slope from this regression are 0.95 and 0.015, respectively, and R2=0.597, what proportion of romance videos would you predict a 33 year-old to hire?

Solution

The intercept and slope from this regression are 0.95 and 0.015, respectively.

general notation of regression line is

y=a+bx

where a=intercept= 0.95

b= slope= -0.015

x= actual age and

y= proportion of romance movie

Thus proportion of romance videos for 33 year-old to hire is:

y= 0.95-0.015*33=0.455