Finding and plotting residuals. Consider the data on x and y shown in the table.
(a) Fit the model E(y) = β0 + β1x to the data.
(b) Calculate the residuals for the model.
(c) Plot the residuals versus x. Do you detect any trends? If so, what does the pattern suggest about the model?
|
x
|
-2
|
-2
|
-1
|
-1
|
0
|
0
|
1
|
1
|
2
|
2
|
3
|
3
|
|
y
|
1.1
|
1.3
|
2.0
|
2.1
|
2.7
|
2.8
|
3.4
|
3.6
|
4.0
|
3.9
|
3.8
|
3.6
|