(a)
To use the Minitab output to estimate each parameter in this multiple regression model for predicting calories burned with the Cybex machine and estimate
(a)
Answer to Problem 28.41E
Explanation of Solution
In the question, it is given that,
And a Minitab output is shown fitting a multiple regression model to predict calories form MPH, Ind_slow, NoIncline and
Thus, the parameter in this multiple regression model for predicting calories burned with the Cybex machine can be modeled as, from the output Minitab:
And the estimated
(b)
To find out how many separate lines are fitted with this model and explain do the lines all have the same slope and identify each fitted line.
(b)
Answer to Problem 28.41E
There are eight separate lines that are fitted with this model and no, all the lines do not have the same slope.
Explanation of Solution
In the question, it is given that,
And a Minitab output is shown fitting a multiple regression model to predict calories form MPH, Ind_slow, NoIncline and
Now, there are eightseparate lines that are fitted with this model and no,all the lines do not have the same slope because as we see in the Minitab output for this model and all the slopes are different. The lines that are fitted with this model are as follows:
(c)
To explain do you think that this model provides a good fit for these data.
(c)
Answer to Problem 28.41E
Yes, this model provides a good fit for these data.
Explanation of Solution
In the question, it is given that,
And a Minitab output is shown fitting a multiple regression model to predict calories form MPH, Ind_slow, NoIncline and
Since the
(d)
To explain is there significant that more calories are burned for higher speeds and state the hypotheses and identify the test statistics and P-value and provide a conclusion.
(d)
Answer to Problem 28.41E
Yes, there is significant that more calories are burned for higher speeds and P-value is zero and
Explanation of Solution
In the question, it is given that,
And a Minitab output is shown fitting a multiple regression model to predict calories form MPH, Ind_slow, NoIncline and
The hypothesis will be defined as:
Null hypothesis: There is no significant difference between them.
Alternative hypothesis: There is significant evidence that more calories are burned for higher speeds.
Since we can see that the P-value is zero i.e.
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