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write a linear regression equation for the following data, rounding all…

Question

write a linear regression equation for the following data, rounding all coefficients to the nearest hundredth.
answer attempt 1 out of 2

Explanation:

Step1: Enter data into statistics calculator

Input the \(x\) - values (\(1,5,6,9,13,17,18\)) and \(y\) - values (\(-7,14,18,39,61,68,74\)) into a statistics calculator.

Step2: Calculate linear regression equation

Using the linear regression function of the calculator, we get the slope \(a\) and the y - intercept \(b\).
The formula for a linear regression equation is \(y = ax + b\).
After calculation, \(a\approx4.29\) and \(b\approx - 10.36\)

Answer:

\(y = 4.29x-10.36\)