Question

8.2.3 quiz: fitting linear models to data
a calculator was used to perform a linear regression on the values in the
table. the results are shown to the right of the table.

what is the line of best fit?
a. ( y = 12.9x - 3.1 )
b. ( -0.994 = -3.1x + 12.9 )
c. ( y = -0.994x + 12.9 )
d. ( y = -3.1x + 12.9 )

Explanation:

Step1: Recall the linear regression formula

The linear regression formula is \(y = ax + b\), where \(a\) is the slope and \(b\) is the y - intercept.

Step2: Substitute the values of \(a\) and \(b\)

Given \(a=-3.1\) and \(b = 12.9\), substituting these into the formula \(y=ax + b\) gives \(y=-3.1x+12.9\).

Answer:

D. \(y = - 3.1x+12.9\)