Question

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
5	33.06
6	30.48
7	27.2
8	24.42
9	22.34
10	17.96
11	16.38
12	13.8

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

Let's test the significance of the correlation coefficient at α=0.01 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

1. Calculate the test statistic. Round to three decimal places.
   t=
   
2. Calculate the p-value. Round to four decimal places.
   p-value =

Answer 1

The statistical software output for this problem is :

r = -0.997

t = -33.883

P-value = 0.0000