Question

Heights​ (cm) and weights​ (kg) are measured for 100 randomly selected adult​ males, and range from heights of 138 to 190 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x overbarequals167.46 ​cm, y overbarequals81.44 ​kg, requals0.108​, ​P-valueequals0.285​, and ModifyingAbove y with caretequalsnegative 105plus1.08x. Find the best predicted value of ModifyingAbove y with caret ​(weight) given an adult male who is 177 cm tall. Use a 0.05 significance level.

Answer 1

Best predicted value of y' = 86.16 kg

Explanation:

Given,

n = 100

Range of heights = 138 - 190cm

Range of weight = 39 to 150 kg

x' =167.46 cm

y' = 81.44 kg

r = 0.108

p value = 0.285

y = - 105 + 1.08x

Significance level = 0.05

We reject H0 since pvalue, 0.285 is less than significance level of 0.05.

Therefore,

Given height of adult male, x = 177 cm

y = - 105 + 1.08x

The best predicted value of y' =

y' = - 105 + 1.08(177)

y' = 86.16 kg

The best predicted value of y' is 86.16kg