Question 27 (1 point) Suppose that a researcher studying the weight of female co

Question

Question 27 (1 point)

Suppose that a researcher studying the weight of female college athletes wants to predict the weights based on height, measured in inches, and the percentage of body fat of an athlete. The researcher calculates the regression equation as (weight) = 4.441*(height) + 1.001*(percent body fat) - 80.267. If a female athlete is 67.407 inches tall, has a 23.715 percentage of body fat, and a weight of 216.574. What is the residual?

Question 27 options:

1)

2)

3)

4)

5)

1)

We do not know the observations in the data set, so we cannot answer that question.

2)

106.5192

3)

-26.2522

4)

26.2522

5)

175.4192

Explanation / Answer

The predicted value of weight here is computed as:

(weight) = 4.441*(height) + 1.001*(percent body fat) - 80.267

(weight) = 4.441*67.407 + 1.001*23.715 - 80.267 = 242.826202

Now the residual here is computed as:

Residual = Observed value - Predicted value = 216.574 - 242.826202 = -26.252202

Therefore 3) is the correct answer here.

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.