Question

9) Use the following data to estimate a linear regression equation between y and x. Interpret the estimated slope coefficient. Predict y for an x value of 9. Calculate and interpret the model’s R-squared.

x	y
21	12
17	10
11	8
3	5
13	15

Answer 1

Here we get slope = 0.380 (Rounded to three decimal places)

It represents if we change the value of x then the value of y will be changed by 0.380

For x = 9 we get y^ = 8.478 (Rounded to three decimal places)

We get R² = 0.4591

It represents the proportion of variance explained by x in y.

Here 45.91% proportion of variance explained by x in y.

Hope this will help you. Thank you :)