Question

Heights​ (cm) and weights​ (kg) are measured for 100 randomly selected adult​ males, and range from heights of

136

to

192

cm and weights of

39

to

150

kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield

x overbar

equals167.79​cm,

y overbar

equals81.47​kg,

requals

0.113

​,

​P-valueequals

0.263

​,

and

ModifyingAbove y with caret

equalsnegative 107plus1.06

x.

Find the best predicted value of

ModifyingAbove y with caret

​(weight) given an adult male who is

144

cm tall. Use a

0.01

significance level.

Answer 1

Solution:

Given:

r =  0.113

P-value = 0.263

We have to find  the best predicted value of    given an adult male who is 144 cm tall. Use a 0.01 significance level.

To find best predicted value , we need regression model to be significant.

Regression model is significant when P-value < level of significance , otherwise it is insignificant and we can not use it for prediction.

Since given P-value = 0.263 > 0.01 significance level, regression model is insignificant and thus we can not use it for prediction.

Thus in this case we use mean of dependent variable as a predicted value.

Thus required answer for predicted value of = kg.