Question

A sample of 10 adult men gave the following data on their heights and weights.

Height (inches)	X	62	62	63	65	66	67	68	68	70	72
Weight (pounds)	Y	120	140	130	150	142	130	135	175	149	168

a. Generate the scatter plot of this data and graph the regression line in your plot. Include a picture of this graph and explain your impression of how well the line fits the data.

b. State the equation of the regression line.

c. Find r (correlation coefficient). Interpret the value of r in the context of this problem.

d. Find the coefficient of determination, r2. Explain what it means in the context of this problem.

e. Provide examples of other lurking variables that may have an effect on weight besides height.

f. Predict the weight of a man whose height is 60 inches.

g. Predict the height of a man whose weight is 160 pounds.

Answer 1

LO p20.66 height and weight has a moderate positive linear relationship . increases, weight increases +00 as height d) 22 = (0-66) 0:44 Po 8 d d d d 20 No Ed determination is 0.44 Coefficient of describes pot implies the strength of the frediction of weight using height. The prediction line, height 44% variation in weight. e) Weight can be effected by variables like bone density body fitness 4) height (2) = 60 COD ŷ 3:35(60) – 78-38 3-35/60) - 78.38 = 122.62 160 + 2 = 160 +78.38 level. Teos ou (psul) (Edd) - CSNT&rjon (PRONN) ON (del 28 6 - PM g) ŷ = 160 = 71.16 3.35