What is the equation of the line of best fit given by a regression calculator for the data in the table?

Step-by-step

The answer is circled in red on the output of the calculator, attached.  This is how we need to look for when we use a graphing calculator, which says

"linear regression, y=5.10x+9.12"

However, we need to check the answer by looking at least one point on the curve.  Say we use the point (10,60) on the straight line, and compare with y(10) = 5.10*10+9.12 = 60.12, quite close to 60.  The other answer options all give numbers far away from 60 when x=10.

The correct option is 2.

Step-by-step explanation:

The given data is

x               y

5              36

9              64

12            72

18            96

26           141

35           189

The general form of regression line is

From the given picture of graphing calculator, it is clear that the equation of regression line is

Approx the value of a and b upto tenth.

The equation of the line of best fit is y ≈ 5.10x+9.12. Therefore the correct option is 2.

2 is the final ! : )