Question

Find the linear regression line for the following table of values. You will need to use a calculator, spreadsheet, or statistical software.

Enter your answer in the form y=mx+b, with m and b both rounded to two decimal places.

x	y
3	2.36
4	5.37
5	5.71
6	6.69
7	7.67
8	6.16

Provide your answer below:

Answer 1

solution:-

regression equation y = 0.77x + 1.44

explanation:-

regression equation y = m x + b

here m = n*∑XY-∑X*∑Y/n*∑X^2-(∑X)^2

= (6*200.22-33*33.96)/(6*199-(33)^2)

= 0.77

here b = ∑Y*∑X^2-∑X*∑XY/n*∑X^2-(∑X)^2

= (33.96*199-33*200.22)/(6*199-33^2)

= 1.44

=> regression equation y = 0.77x + 1.44