How to find the equation of line of best fit

Asked by admin @ 22/11/2021 in Mathematics viewed by 335 People

Find the equation of the line of best fit and the

correlation coefficient for the data shown.
(1, 88), (2, 75), (3, 71), (4, 69), (5,66), (6, 68), (7,
50)
Regression equation:
y=
Correlation coefficient:

Answered by admin @ 22/11/2021

The equation of the line of best fit is y = -4.75x + 88.571.

The correlation coefficient for the data that is shown is -0.906.

Step-by-step explanation:

The rate of change of one variable (y) to the other (x) as a function is known as the regression coefficient.

A statistical measure of the relationship between the relative movements of the two variables is known as the correlation coefficient.

The equation of the line of best fit is y = -4.75x + 88.571 and the correlation coefficient r is -0.906.

y = ax + b

a = -4.75

b = -88.571

r² = 0.821

r = -0.906

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