Chapter 1. Tutorial: Regression Residuals

1.1 Problem Statement

{64.1, 64.2, 64.3, 64.4, 64.5, 64.6, 64.7, 64.8, 64.9}
rand(0,8)
@height[$heightindex]
{60, 65, 70, 75, 80, 85, 90, 95, 100}
rand(0,8)
@sample[$sampleindex]
{2, 2.5, 3, 3.5, 4}
rand(0,4)
@stddev[$stddev]
{.10, .05, .01}
{0,2}
@significance[$significanceindex]
$height-0.5

Consider the following 4 plots of Y vs. X.

1.2 Step 1

questions

Question 1.1

The slope of the line in Set 1 is _____ ot+qaZUmHUo=; The slope of the line in Set 2 is _____ ot+qaZUmHUo=; The slope of the line in Set 3 is _____ ot+qaZUmHUo=; The slope of the line in Set 4 is _____ ot+qaZUmHUo=.

Correct.
Incorrect.

Question 1.2

The intercept of the line in Set 1 is _____ 607M7xmPORU=; The intercept of the line in Set 2 is _____ 607M7xmPORU=; The intercept of the line in Set 3 is _____ 607M7xmPORU=; The intercept of the line in Set 4 is _____ 607M7xmPORU=.

Correct.
Incorrect.

Question 1.3

cfm1mpBc3TP627WPVuBLCwThGAI6Be0KPM+DDm15+KQoIl01tJiJ3Sefb2k2KKXNgb8Z+U8COg8Hmw5YVab6vzLL1P5qQvlTumVttgV1mrSzZK1JSPs0Kex4Mypm4M4LqGNFwxMHfLWqZ684JPEHnkrdwb8=
Correct.
Incorrect.

1.3 Step 2

questions

Question 1.4

Set 2 contains an illustration of EBdpI+QtqTpavz15BYJbEjM6IutK0fyX7yGLz2nOwLGJqcyF/6lz8qsvUb0dzexaGYALpot87AxxI4Qg0LH5/tfguvrLqih3.

Correct.
Incorrect.

Question 1.5

Set 3 contains an illustration of an I0mMalpF/pIQWb8/GQJLKdpZqa2KcSDGUvZ2Mh1o3/k=.

Correct.
Incorrect.

Question 1.6

Set 4 contains an illustration of an JKRnetLZbzpdLElufpvjgx4jmBHmG/XXzvUFOKYBLtI=.

Correct.
Incorrect.

1.4 Step 3

Now consider the residual plots (not in the same order as the plots above).

questions

Question 1.7

Match the residual plot with the original set.

Set 1 – 4XGxmq4yzApD0Cr1PmEEew==

Set 2 – nzIZNgjbMDeAF9Kz3NR66w==

Set 3 – PaKgY1nay3Z0zFDJY5y3Ug==

Set 4 – XpjnXIq7ek5HPoHs+SPYEA==

Correct.
Incorrect.

Question 1.8

0knq7BrLBWl4ztE0fHZaKa4a/lW2JA3nHn0QZ5j7RyiEDr3gexl7krbQHNnA5UZ/qhWP+3hcVW1wro60Fbv2lA==
Correct.
Incorrect.

Question 1.9

NzxexWRNGs8Sdp5fjk51U3fzX2zUrfhcJINaW6qGbQ9QobKs37I4+ZwkwtTWBqmscNMckDYYAxQqmL7BDo4Hnf7IsZVR1jWBu0iCGSQidOSQAUSfKpU7ffCVYvy1HEugzVeFiEeSFakTdIfKHJU9ZoCZOt17ESqqSLnVoZx2Aoh2JUTZmm12C6/KNk6brjZWj9ixP5O2Wf6/5KVl35LBdNACpT11WCqh
Correct.
Incorrect.