An emergency service wishes to see whether a relationship exists between the outside temperature and the number of emergency calls it receives for a 7-hour period. The data are shown. Temperature x No. of calls y 68 74 7 4 8 82 88 10 93 11 99 9 Test the significance of the correlation coefficient at alpha = 0.05 13 101 f = Step 1: State the hypotheses. Step 2: Find the critical values. Step 3. Compute the test value. Step 4. Make the decision. Step 5. Summarize the results.
An emergency service wishes to see whether a relationship exists between the outside temperature and the number of emergency calls it receives for a 7-hour period. The data are shown. Temperature x No. of calls y 68 74 7 4 8 82 88 10 93 11 99 9 Test the significance of the correlation coefficient at alpha = 0.05 13 101 f = Step 1: State the hypotheses. Step 2: Find the critical values. Step 3. Compute the test value. Step 4. Make the decision. Step 5. Summarize the results.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
An emergency service wishes to see whether a relationship exists between the outside temperature and the number of emergency calls it receives for a 7-hour period. The data are shown.
Temperature x
No. of calls y
68
74
7
4 8
82 88
10
93
11
99
9
Test the significance of the correlation coefficient at alpha = 0.05
13
101
f =
Step 1: State the hypotheses.
Step 2: Find the critical values.
Step 3. Compute the test value.
Step 4. Make the decision.
Step 5. Summarize the results.
Transcribed Image Text:An emergency service wishes to see whether a
relationship exists between the outside temperature and
the number of emergency calls it receives for a 7-hour
period. The data are shown.
Temperature x
68
74 82 88 93
99
101
No. of calls y
7
8
10 11 9
13
Test the significance of the correlation coefficient at a=0.05
r =
Step 1: State the hypotheses.
Step 2: Find the critical values.
Step 3. Compute the test value.
Step 4. Make the decision.
Step 5. Summarize the results.
:: Reject the null
:: Fail to reject the null
:: +2.776
:: +2.571
:: +2.447
:: There is a significant linear relationship between the two variables
:: There is not a significance linear relationship between the two variables
:: 4.099
:: 3.099
:: 2.099
: Ho: ρ 40; Ha: ρ =0
: Ho: ρ =0; Ha: ρ40
:: 0.713
:: 0.912
:: 0.811
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