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.

Question

Mathematics

Ezekiel Delgado

16 May, 17:10

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.

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Clover · Answer 1

Best predicted value of y' = 86.16 kg

Step-by-step 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