Concept explainers
(a)
To give the equation of the least squares regression line.
(a)
Answer to Problem 35E
Transformation
Transformation
Explanation of Solution
In the question there are two transformations given and the computer output for each is also given. Thus, we have,
For transformation
Thus, the general equation of the regression equation is as:
Thus, the value of the slope and the constant is given in the computer output as:
Thus, the regression equation is as follows:
For transformation
Thus, the general equation of the regression equation is as:
Thus, the value of the slope and the constant is given in the computer output as:
Thus, the regression equation is as follows:
(b)
To use the model from part (a) to predict the period of a pendulum with the length
(b)
Answer to Problem 35E
Transformation
Transformation
Explanation of Solution
Thus, we need to find out the period of a pendulum with the length
For transformation
Thus, the regression equation is as follows:
Then by evaluating we have,
For transformation
Thus, the regression equation is as follows:
Then by evaluating we have,
(c)
To interpret the value of s in this context.
(c)
Explanation of Solution
As we need to interpret the value of s in this context. Thus, we have,
For transformation
Thus, the regression equation is as follows:
And the value of s is given as,
This means that the expected error from the prediction of the period is
For transformation
Thus, the regression equation is as follows:
And the value of s is given as,
This means that the expected error from the prediction of the square of the period is
Chapter 12 Solutions
The Practice of Statistics for AP - 4th Edition
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