The Basic Practice of Statistics
The Basic Practice of Statistics
8th Edition
ISBN: 9781319042578
Author: David S. Moore, William I. Notz, Michael A. Fligner
Publisher: W. H. Freeman
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Chapter 29, Problem 29.48E

a.

To determine

To construct: A scatterplot of calories burnt against MPH for various incline positions obtained from two types of treadmills.

b.

To determine

To fit: A multiple regression model using the listed variables for predicting calories burnt.

c.

To check: Whether the model provides a better fit for the given data.

Answer:

The model provides a better fit for the given data.

Explanation:

Justification:

R-square:

The R-square is a multiple correlation coefficient and it is the square of correlation between the observed response variable and predicted response variable.

R-square tells about the fit of the model. If the R-square value is high then the model fits better.

From the MINITAB output it can be seen that the R-square value is 98.62%. This tells that the explanatory variables could explain 98.62% of variation in predicting the calories burnt.

d.

To determine

To find: Whether there is any significant differences in the relationship between the calories burnt and speed for two treadmills.

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