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3 years ago

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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 decima

l 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

2 answers:

-Dominant- [34]3 years ago

6 0

Answer:

Option: A is the correct answer.

A. y = -1.893x + 31.901

Step-by-step 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:

$y=-1.893x+31.901$

Anuta_ua [19.1K]3 years ago

4 0

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

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