Question

Linear Regression and Correlation. x y 3 -3.26 4 2.72 5 1.2 6 1.88 7 0.16...

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

Homework Answers

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.

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