Question

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

Answer 1

Step-by-step answer:

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.

Answer 2

The correct option is 2.

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

`y\approx ax+b`

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

`y\approx 5.098x+9.118`

Approx the value of a and b upto tenth.

`y\approx 5.10x+9.12`

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