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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∘). x y 1 21.22 2 26.64 3 28.76 4 30.18 5 33.9 6 38.32 7 37.84 8 41.26

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∘).

x y
1 21.22
2 26.64
3 28.76
4 30.18
5 33.9
6 38.32
7 37.84
8 41.26

Calculate the correlation coefficient. (Round to three decimal places.)
r=

Let’s test the significance of the correlation coefficient at α=0.01α=0.01 significance level.

H0:

Ha:

1. Calculate the test statistic. Round to three decimal places.
t=

2. Calculate the pp-value. Round to four decimal places.
p-value =
3. Make a decision.
• Do not reject the null hypothesis.
• Reject the null hypothesis.
4. Is there enough evidence to support that there is a significant relationship between the year and high temperature?
• No
• Yes
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