Question

What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decimal places.

x y
2 30
5 19
7 20
12 9
16 2
A. y = -1.893x + 31.901
B. y = 1.893x - 31.901
C. y = 31.901x - 1.893
D. y = -31.901x + 1.893

Answer 1

If you put the points into a calculator using STAT EDIT and use LinReg, you get A.

Answer 2

Option: A is the correct answer.

A. y = -1.893x + 31.901

Explanation:

We are given a table of values as:

x y

2 30

5 19

7 20

12 9

16 2

Now clearly from the set of values we see that with the increasing value of x the y-value is decreasing this means that the correlation is negative.

Hence, the slope of the line of best fit will be negative.

Hence, option: B and option: C are discarded.

Hence, when we plot the data values in a scatter plot.

We see that the equation of line of best fit is:

`y=-1.893x+31.901`