Question

Linear Regression and Correlation.

x	y
3	-10.52
4	1.94
5	-2.7
6	-3.14
7	-9.18
8	-4.82
9	-12.26
10	-11.1
11	-6.44

Compute the equation of the linear regression line in the form y = mx + b, where m is the slope and b is the intercept.
Use at least 3 decimal places. (Round if necessary)
y = x +
Compute the correlation coeficient for this data set. Use at least 3 decimal places. (Round if necessary)
r=
Compute the P-value (Use H_A: slope ≠ 0 for the alternative hypothesis.)
Use at least 3 decimal places. (Round if necessary)
P-value =
At the alpha = 0.05 significance level, is the correlation significant?

• Yes, significant correlation
• No

Answer 1

The statistical software output for this problem is:

From above output:

y = -0.727x + (-1.382)

r = -0.423

P - value = 0.2572

No, the correlation is not significant.