Annual high temperatures in a certain location have been tracked for a sample of 15 years. Let X represent the year and Y the high temperature (in C). x y 5 25.42 6 26.39 7 24.36 8 20.13 9 17.8 10 19.27 11 15.44 12 13.61 13 13.58 14 9.75 16 15 10.42 16 7.99 17 3.86 18 4.53 19 1.8 Calculate the correlation coefficient. (Round to three decimal places.) T= Let's test the significance of the correlation coefficient at a 0.01 significance level. Ho: There is not a significant relationship between the year and high temperature, i.e., p = 0. Ha: There is a significant relationship between the year and high temperature, i.e., p0. a. Calculate the test statistic. Round to three decimal places. t= b. Calculate the p-value. Round to four decimal places. p-value- c. Make a decision. O Do not reject the null hypothesis. O Reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? Yes No
Annual high temperatures in a certain location have been tracked for a sample of 15 years. Let X represent the year and Y the high temperature (in C). x y 5 25.42 6 26.39 7 24.36 8 20.13 9 17.8 10 19.27 11 15.44 12 13.61 13 13.58 14 9.75 16 15 10.42 16 7.99 17 3.86 18 4.53 19 1.8 Calculate the correlation coefficient. (Round to three decimal places.) T= Let's test the significance of the correlation coefficient at a 0.01 significance level. Ho: There is not a significant relationship between the year and high temperature, i.e., p = 0. Ha: There is a significant relationship between the year and high temperature, i.e., p0. a. Calculate the test statistic. Round to three decimal places. t= b. Calculate the p-value. Round to four decimal places. p-value- c. Make a decision. O Do not reject the null hypothesis. O Reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? Yes No
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Related questions
Question

Transcribed Image Text:Annual high temperatures in a certain location have been tracked for a sample of 15 years. Let X
represent the year and Y the high temperature (in C°).
x
5
25.42
6
26.39
7
24.36
8
20.13
9
17.8
10
19.27
11 15.44
12
13
23
13.61
13.58
14 9.75
15
10.42
16
7.99
17
3.86
18
4.53
19
1.8
Calculate the correlation coefficient. (Round to three decimal places.)
T=
Let's test the significance of the correlation coefficient at a 0.01 significance level.
Ho: There is not a significant relationship between the year and high temperature, i.e., p = 0.
H: There is a significant relationship between the year and high temperature, i.e., p+0.
a. Calculate the test statistic. Round to three decimal places.
t=
b. Calculate the p-value. Round to four decimal places.
p-value
c. Make a decision.
ODo not reject the null hypothesis.
O Reject the null hypothesis.
d. Is there enough evidence to support that there is a significant relationship between the year and high
temperature?
O Yes
O No
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