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Get Full Access to Elementary Statistics - 12 Edition - Chapter 10.3 - Problem 28bsc
Get Full Access to Elementary Statistics - 12 Edition - Chapter 10.3 - Problem 28bsc

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# Regression and Predictions. Exercises use | Ch 10.3 - 28BSC

ISBN: 9780321836960 18

## Solution for problem 28BSC Chapter 10.3

Elementary Statistics | 12th Edition

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Problem 28BSC

Regression and Predictions. Exercises 13–28 use the same data sets as Exercises 13–28 in Section 10-2.In each case, find the regression equation, letting the first variable be the predictor (x) variable. Find the indicated predicted value by following the prediction procedure summarized in Figure 10-5.

Sports Using the data from the preceding exercise, find the best predicted volume of a marble with a diameter of 1.50 cm. How does the result compare to the actual volume of 1.8 cm 3?

Step-by-Step Solution:
Step 1 of 3

Problem 28 BSC

Step1 of 3:

We have Exercises use the same data sets as Exercises in Section 10-2. In each case,

 x 7.4 23.9 4.3 21.8 7 4 20.9 9.7 y 212.2 7148.1 41.6 5424.6 179.6 33.5 4780.1 477.9

Step2 of 3:

We need to Find the regression equation, letting the first variable be the predictor (x) variable. Find the indicated predicted value by following the prediction procedure summarized in Figure.

find the best predicted volume of a marble with a diameter of 1.50 cm. How does the result compare to the actual volume of 1.8 cm3?

Step3 of 3:

Consider,

 x y xy 7.4 212.2 1570.28 54.76 23.9 7148.1 170839.59 571.21 4.3 41.6 178.88 18.49 21.8 5424.6 118256.28 475.24 7 179.6 1257.2 49 4 33.5 134 16 20.9 4780.1 99904.09 436.81 9.7 477.9 4635.63 94.09 99 18297.6 396775.95 =1715.6

The equation of the regression line is given by

Where,

a =

=

=

=

= -2010.667

And

b =

=

=

=

= 347.302

Now the regression line is

The best prediction is

=

= 2287.2

Therefore,the best predicted volume of a marble with a diameter of 1.50 cm. Is 2287.2c

Step 2 of 3

Step 3 of 3

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