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Get Full Access to Elementary Statistics - 12 Edition - Chapter 10.6 - Problem 4 re
Get Full Access to Elementary Statistics - 12 Edition - Chapter 10.6 - Problem 4 re

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Time and Motion In a physics experiment at Doane College,

ISBN: 9780321836960 18

Solution for problem 4 RE Chapter 10.6

Elementary Statistics | 12th Edition

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Problem 4 RE

Problem 4 RE

Time and Motion In a physics experiment at Doane College, a soccer ball was thrown upward from the bed of a moving truck. The table below lists the time (sec) that has lapsed from the throw and the height (m) of the soccer ball. What do you conclude about the relationship between time and height? What horrible mistake would be easy to make if the analysis is conducted without a scatterplot?

 Time (sec) 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 Height (m) 0 1.7 3.1 3.9 4.5 4.7 4.6 4.1 3.3 2.1

Step-by-Step Solution:

Step 1 of 2

The table below lists the time (sec) that has lapsed from the throw and the height (m) of the soccer ball

 SL. No Time (sec)  x Height (m)  y xy x2 y2 1 0 0 0 0 0 2 0.2 1.7 0.34 0.04 2.89 3 0.4 3.1 1.24 0.16 9.61 4 0.6 3.9 2.34 0.36 15.21 5 0.8 4.5 3.6 0.64 20.25 6 1 4.7 4.7 1 22.09 7 1.2 4.6 5.52 1.44 21.16 8 1.4 4.1 5.74 1.96 16.81 9 1.6 3.3 5.28 2.56 10.89 10 1.8 2.1 3.78 3.24 4.41 Sum 9 32 32.54 11.4 123.32 Average 0.9 3.2

0.9, 3.2

n = 10 , 32.54, 9, 32

= = 0.4501

Given, Correlation r = 0.4501 and n = 10

The Critical value for r = 0.632 for n - 1 degrees of freedom assuming 5% level of significance.

The Test Statistic is given by

=

= 1.4256

Step 2 of 1

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