Quick Review Of Some Inference For Linear Regression Concepts
Inference and modeling concepts for AP Statistics students
- 1.
How do you know that you should attempt to use a linear regression method for predicting y values from x values?
- A.
When the moon is full.
- B.
When Mrs. Linner gives you the evil eye.
- C.
When the data look linear when graphed in a scatterplot.
- D.
When the relationship should (theoretically) be linear.
- E.
Either C or D will suffice.
Correct Answer
E. Either C or D will suffice. -
- 2.
How do you know that your linear model was a wise choice (the linear model is the correct model)?
- A.
When I flip a coin and it lands heads up.
- B.
When I have run out of other models to try.
- C.
When the r^2 value is close to 1.
- D.
When the graph of the residuals(x, y - y-hat)forms a straight line.
- E.
When the residuals(x, y - y-hat)are small and scattered(no pattern).
Correct Answer
E. When the residuals(x, y - y-hat)are small and scattered(no pattern). -
- 3.
When do you know that the model is a close fit to the data?
- A.
When I flip a coin and it lands heads up.
- B.
When I have run out of other models to try.
- C.
When the r^2 value is close to 1.
- D.
When the graph of the residuals(x, y - y-hat)forms a straight line.
- E.
When the residuals(x, y - y-hat)are small and scattered(no pattern).
Correct Answer
C. When the r^2 value is close to 1. -
- 4.
When is the relationship between x and y too strong to assume that the slope of the best fit line (Beta) is possibly zero?
- A.
When the confidence interval for the slope does not contain the value 0.
- B.
When the p value of the linear regression t-test is very small.
- C.
When the residuals are small and scattered.
- D.
When the r^2 value is close to 1
- E.
Answers A or B will suffice.
Correct Answer
E. Answers A or B will suffice. -
- 5.
Given r, sx, and sy you can calculate
- A.
Beta
- B.
Alpha
- C.
B
- D.
S
- E.
SE of b
Correct Answer
C. B -
- 6.
Given s, sx, and n you can calculate
- A.
Beta
- B.
Alpha
- C.
B
- D.
R
- E.
SE of b
Correct Answer
E. SE of b -
- 7.
Given b and SE of b you still need to know _______________ to calculate the t-statistic and the p-value.
- A.
R
- B.
N
- C.
Df
- D.
A
- E.
B or C
Correct Answer
E. B or C -
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Current Version
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Mar 22, 2022Quiz Edited by
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Apr 30, 2007Quiz Created by
Linnerstats
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