Question

Annual high temperatures in a certain location have been tracked for a sample of 12 years. Let XX represent the year and YY the high temperature (in C∘C∘).

Years	Temperature in C∘C∘
1	10.36
2	10.8
3	11.54
4	10.18
5	11.32
6	10.86
7	11.6
8	9.74
9	11.08
10	9.62
11	8.06
12	9.9

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

Let's test the significance of the correlation coefficient at α=0.1α=0.1 significance level.

H0:: There is not a significant relationship between the year and high temperature, i.e., ρ=0

Ha:: There is a significant relationship between the year and high temperature, i.e., ρ≠0

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

3) calculate the p-value. Round to four decimal places.
p-value =

Answer 1