Linear Regression Equation and Correlation Coefficient Calculator

Published on September 14, 2026

Statistics

Calculate the linear regression equation, slope, y-intercept, and correlation coefficient for a given profit dataset, and determine if the correlation is strong or weak and positive or negative.

Question

Answer

To determine the linear regression equation

and the correlation coefficient

, we first identify the data points

from the table:

1. Calculate the necessary summations ():

2. Calculate the slope () and y-intercept ():
Using the formulas

and

Rounding to the nearest hundredth:

and

3. Calculate the correlation coefficient ():
Using the formula

Rounding to the nearest ten thousandth:

4. Conclusion:
Since

is very close to

, the correlation is strong. Since

is negative, the correlation is negative.

The correlation is strong and negative.

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