QB4 The height (in inches) and weight (in pounds) of several men were collected

Question

QB4 The height (in inches) and weight (in pounds) of several men were collected to determine if the weight can be determined from a man's height. The software Minitab was used to fit the data with a linear model: y-80 + |x. The Minitab output is given below (the Minitab output shown is similar to the ones discussed in class) The regression equation is WEIGHT = -62.8509 + 3.2553 HEIGHT Predictor Constant HEIGHT Coef 62.851 3.2553 SE Coef 40.85 0.6455 1.54 0.158 5.04 0.000 a) What are the values and units of the slope (gradient) and intercept of the regression line? From the Minitab output determine the significance (at = 0.05) of the slope and intercept of the regression model. Explain how you reached your conclusions. b) c) Use the conclusions drawn in part b) to determine if the linear model is useful for predicting the weight of a man from his height

Explanation / Answer

let, weight is represented by 'y' and height is represented by 'x'

y= -62.8509 + 3.2553x

intercept of regression line is the value when x=0 = -62.8509. this is constant and does not depend on the value of x

slope = 3.2553

b)at alpha =0.05 and degrees of freedom 1 for 1 tailed test

t = 6.314

as t value 5.04 is less than 6.314, we will reject the null hypothesis for slope. intercept value is also rejected because weight can never be negative.

null hypothessis is rejected H0= weight can be determined by height.

c) as the null hypothesis is rejected this linear model is not useful for determining a ma's weight from his height

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