Use the following information for questions:
The relation between y = ideal weight (lbs) and x =actual weight (lbs), based on data fromn = 119 women, resulted in the regression line $\hat{y}$ = 44 + 0.60 x
-If a woman weighs 100 pounds and her ideal weight is just that, 100 pounds, then her residual is
A)-4 pounds
B) 4 pounds
C) 44 pounds
D) None of the above

Question

Use the following information for questions:
 The relation between y = ideal weight (lbs) and x =actual weight (lbs), based on data fromn = 119 women, resulted in the regression line $\hat{y}$ = 44 + 0.60 x
-If a woman weighs 100 pounds and her ideal weight is just that, 100 pounds, then her residual is
A)-4 pounds
B) 4 pounds
C) 44 pounds
D) None of the above

Quizplus · Accepted Answer

The predicted ideal weight for a woman weighing 100 pounds is $\hat{y} = 44 + 0.60 \times 100 = 104$ pounds. The residual is the actual ideal weight minus the predicted ideal weight: $100 - 104 = -4$ pounds.

Use the Following Information for Questions: the Relation Between y^\hat{y}y^​

Use the Following Information for Questions:
the Relation Between $\hat{y}$