Consider the data table below Find the linear function of th

Consider the data table below: Find the linear function of the form f(x) = ax + b which best models the data. That is, find the linear regression for the data. [No work or explanation is needed here.) Round your coefficients to THREE decimal places. What does the model predict the x-value will be when the y-value is 13? Show SOMETHING to tell me what you are doing!

Solution

I enter these on xuru.org the website

And under that, Regression tools ---> Linear regression

(-5 , 35)
(-2 , 21)
(3 , -6)
(9 , -37)
(12 , -42)
(14 , -50)
are points to be entered

The equation is :
-4.564x + 10.413 ----> ANSWER

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b)
Now, we have to find x when y = 13 :

13 = -4.564x + 10.413

4.564x = 10.413 - 13

4.564x = -2.587

x = -0.5668 ----> ANSWER