Question

In: Statistics and Probability

Given are data for two variables, x and y. xi 6 11 15 18 20 yi...

Given are data for two variables, x and y.

xi 6 11 15 18 20

yi 6 8 12 20 30

Use the facts that ̄x= 14, ̄y= 15.2, ˆy=−7.02 + 1.59x, Σ(xi − ̄x)^2 = 126, and s= 4.88.

a. Compute the residuals.

b. Plot the residuals against x. Do the assumptions about the error terms seem to be satisfied?

c. Compute the standardized residuals.

Solutions

Expert Solution

b):

There present a pattern in Residuals plot which is parabola. it's means there heteroscedasticity present or we can say variance are not equal.

c):

First Calculate the Standard deviation of Residuals.

Standard deviation of Residuals:


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