Question

Linear Regression and Correlation.

x	y
3	-3.26
4	2.72
5	1.2
6	1.88
7	0.16
8	-5.66
9	3.02
10	-6.7
11	-3.92
12	-5.34

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.
y = x +  
Compute the correlation coeficient for this data set. Use at least 3 decimal places.
r=  
Compute the P-value (Use H_A: slope ≠ 0 for the alterantive hypothesis.)
P-value =  
At the 0.01 significance level, is the correlation significant?

• No
• Yes, significant correlation

Answer 1

The statistical software output for this problem is:

Hence,

Regression equation:

y = (-0.649) x + 3.278

r = -0.522

P-value = 0.1219

No, the correlation is not significant.