Question

Heights​ (cm) and weights​ (kg) are measured for 100 randomly selected adult​ males, and range from heights of 133 to 188 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x overbarequals167.48 ​cm, y overbarequals81.44 ​kg, requals0.139​, ​P-valueequals0.168​, and ModifyingAbove y with caretequalsnegative 102plus1.08x. Find the best predicted value of ModifyingAbove y with caret ​(weight) given an adult male who is 142 cm tall. Use a 0.05 significance level.

The best predicted value of ModifyingAbove y with caret for an adult male who is 142 cm tall is ____ kg.

Answer 1

Range of heights: 133 to 188 cm

Range of weights: 40 to 150 kg

Regression equation is, = -102 + 1.08 x

Since the height of 142 cm falls in the range (133 to 188 cm), we can use the regression equation to find the best predicted value of .

The best predicted value of given an adult male who is 142 cm tall i.e. when x = 142

= -102 + 1.08 * 142

= 51.36 kg