Annual high temperatures in a certain location have been tracked for a sample of 8 years. Let X represer the year and Y the high temperature (in C"). y 23.73 6. 21.64 7 19.35 8. 19.46 9. 16.47 10 18.18 11 15.19 12 16.7 Calculate the correlation coefficient. (Round to three decimal places.) Let's test the significance of the correlation coefficient at a = 0.05 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., p 0. a. Calculate the test statistic. Round to three decimal places. b. Calculate the p-value. Round to four decimal places. p-value = c. Make a decision. Reject the null hypothesis. O Do not reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and hig temperature? O Yes O No Question Help: DVideo

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Annual high temperatures in a certain location have been tracked for a sample of 8 years. Let X represent
the year and Y the high temperature (in C).
y
23.73
6.
21.64
7
19.35
8
19.46
16.47
10
18.18
11
15.19
12
16.7
Calculate the correlation coefficient. (Round to three decimal places.)
Let's test the significance of the correlation coefficient at a = 0.05 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., p + 0.
a. Calculate the test statistic. Round to three decimal places.
b. Calculate the p-value. Round to four decimal places.
p-value =
c. Make a decision.
O Reject the null hypothesis.
O Do not 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
Question Help: Video
Transcribed Image Text:Annual high temperatures in a certain location have been tracked for a sample of 8 years. Let X represent the year and Y the high temperature (in C). y 23.73 6. 21.64 7 19.35 8 19.46 16.47 10 18.18 11 15.19 12 16.7 Calculate the correlation coefficient. (Round to three decimal places.) Let's test the significance of the correlation coefficient at a = 0.05 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., p + 0. a. Calculate the test statistic. Round to three decimal places. b. Calculate the p-value. Round to four decimal places. p-value = c. Make a decision. O Reject the null hypothesis. O Do not 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 Question Help: Video
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