Given the following dataset Dataset for question (11) x 1 1 2 3 4 5 y 0 2 4 5 5 3 We want to test the claim that there is a linear correlation between x and y. (a) What is the null hypothesis H0 and...

Given the following dataset

Dataset for question (11)

We want to test the claim that there is a linear correlation between x and y.

(a) What is the null hypothesis H0 and the alternative hypothesis H1?

(b) Using α=0.05, will you reject H0? Justify your answer by using a p-value.

(c) Base on your answer in part (b), is there evidence to support the claim?

(d) Findr, the linear correlation coefficient.