Height and Weight - Heights (cm) and weights (kg) are measured for 40 randomly s

Question

Height and Weight - Heights (cm) and weights (kg) are measured for 40 randomly selected adult males (from Data Set 1 "Body Measurements" in Appendix B). The 40 paired measurements yield x = 176.5 cm, y = 83.0 kg, r = 0.356, and = -110.27 + 1.0951x. Find the best predicted value of (weight given an adult male who is 180 cm tall. Explain how you arrived at your answer.

Problem 4.

Automobile Fuel Economy - The engine displacement (in liters) and combined city/highway miles per gallon (MPG) of a random sample of 40 automobiles was measured. The linear correlation coefficient is r = 0.301 and the regression equation is = 35.165-1.5897x, where x represents the engine displacement. The mean of the 40 engine displacements is 1.87 liters and the mean of the 40 combined miles per gallon is 32.2 MPG. What is the best predicted MPG for an automobile with an engine displacement of 3.8 liters? Explain how you arrived at your answer.

Explanation / Answer

Problem 3:

The regression equation is given by = -110.27 + 1.0951x where is the best predicted value of weight for a given height x.

Hence, if x = 180 cm => = -110.27 + 1.0951 * 180 => = 86.85

Hence, the best predicted value of (weight) given an adult male who is 180 cm tall is 86.85 kg.

Problem 4:

The regression equation is given by = 35.165 - 1.5897x where is the best predicted value of MPG for an automobile for a given engine displacement x.

Hence, if x = 3.8 liters => = 35.165 - 1.5897 * 3.8 => = 29.124

Hence, the best predicted MPG for an automobile with an engine displacement of 3.8 liters is 29.124 MPG.

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

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