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)

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

y = ax + b
a = -4.75
b = -88.571
r² = 0.821
r = -0.906

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codiepienagoya codiepienagoya · Answer 2 · 2021-09-27T14:18:12+02:00

The rate of change from one variable (y) to another (x) is called the regression coefficient, and the further calculation can be defined as follows:

The correlation coefficient is known as a statistical measure of the relationship among the relative movements of the two variables.
The best fit line equation is [tex]\bold{Y = -4.75x + 88.571 }[/tex] and the coefficient of correspondence is r= [tex]-0.906[/tex].

[tex]\bold{y = ax + b}\\\\\bold{a = -4.75}\\\\\bold{b = -88.571} \\\\\bold{r^2 = 0.821}\\\\\bold{r = -0.906}\\\\[/tex]

Therefore, [tex]\bold{Y = -4.75x + 88.571 }[/tex] are the best fits line equation and the correlation coefficient again for data is [tex]-0.906[/tex].

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