Question

The table shows the hourly wages (in dollars) of employees after they have worked at a company for x years. Use the linear regression feature

on a graphing calculator to find an equation of the line of best fit for the data. Round each value in your equation to the nearest hundredth.
Then use your equation to estimate the hourly wage of an employee who has worked at the company for 12 years.
Years, x Hourly wage (dollars per hour), y
1
$8.75
5
$10.50
3
$9.25
7
$11.25
The line of best fit is y =

The aproxímate hourly wage of a person who has worked at the company for 12 years is $___ per hour

Answer 1

y= 0.5x + 8.2

$13.6 per hour

Explanation:

(Is it weird that I had the same exact question? Maybe not. But I also found another person with the same question as me. It was a different question though. This is probably too late. But I'm just gonna try to answer it for anyone who needs it.

"Linear regression" is just a fancy word for scatter plots. Scatter plots take place in graphs. The dots or plots are scattered and the way they are scattered means something. If it's going down, it's negative, up it's positive, and if it's scattered, it has no corrolation.

Also, you should have learned this in 9th grade. So, check your notes.

If you don't have it, WRITE IT!!!

To find it in your calculator:

1. Go to "Lists and Spreadsheets"

2. Rename the first column "x" and the second on "y"

3. Write all of your numbers in the right column

1, 5, 3, 7 under the "x"

8.67, 10.50, 9.58, 11.41 under the "y"

4. Move your cursor to an empty cell

4. Click: "MENU" #4 #1 #3

5. Rename the correct rows "x" and "y" and press enter

6. Now you can find "m" and "b"

7. Then move your cursor to an empty cell and click "doc" "insert" #7

8. Find the x-axis and find "x"

9. Find the y-axis and find "y"

10. Now press "MENU" #4 #6 #1

And you found your y=mx+b: y=0.5x+8.2

Now, how much money per hour.

So you've found your m and b but now you have to:

1. Replace y with 15 and solve it

15=0.5x+8.2

-8.2 -8.2

6.8=0.5x

Divide 0.5 on both sides

6.8/0.5=13.6

13.6=x

$13.6 per hour