By Stan Gibilisco — McGraw-Hill Professional

Updated on Sep 12, 2011

Review the following concepts if necessary:

**Correlation, Chaos, and Order Practice Test**

A good score is 8 correct.

- Refer to the correlation plot of Fig. 7-13. Suppose the dashed line represents the least-squares line for all the solid black points. If a new value is added in the location shown by the gray point
*P*, but no other new values are added, what will happen to the least-squares line?- It will move to the left of the position shown.
- It will move to the right of the position shown.
- Its position will not change from that shown.
- More information is necessary to answer this question.

- Refer to the correlation plot of Fig. 7-13. Suppose the dashed line represents the least-squares line for all the solid black points. If a new value is added in the location shown by the gray point
*Q*, but no other new values are added, what will happen to the least-squares line?- It will move to the left of the position shown.
- It will move to the right of the position shown.
- Its position will not change from that shown.
- More information is necessary to answer this question.

- Refer to the correlation plot of Fig. 7-13. Suppose the dashed line represents the least-squares line for all the solid black points. If a new value is added in the location shown by the gray point
*R*, but no other new values are added, what will happen to the least-squares line?- It will move to the left of the position shown.
- It will move to the right of the position shown.
- Its position will not change from that shown.
- More information is necessary to answer this question.

- Theoretically, the earth's population function can level off at a stable value
- if we wait long enough
- if the Malthusian
*r*factor exceeds a certain critical value - if the Malthusian
*r*factor is kept low enough - under no circumstances

- If the correlation between two phenomena
*X*and*Y*is given by*r*= 0, then an increase in the frequency, intensity, or amount of*X*- is unrelated to any change in the frequency, intensity, or amount of
*Y* - is usually attended by an increase in the frequency, intensity, or amount of
*Y* - is usually attended by a decrease in the frequency, intensity, or amount of
*Y* - causes a change in the frequency, intensity, or amount of
*Y*

- is unrelated to any change in the frequency, intensity, or amount of
- According to the Malthusian model, the earth's population, in the absence of limiting factors, would
- increase geometrically
- increase up to a certain point and then level off
- increase linearly
- decrease to zero

- In the plot of Fig. 7-14, the correlation between phenomenon
*X*and phenomenon*Y*appears to be- positive
- negative
- chaotic
- geometric

- With respect to the plot shown by Fig. 7-14, which of the following scenarios (a), (b), or (c) is plausible?
- Changes in the frequency, intensity, or amount of
*X*cause changes in the frequency, intensity, or amount of*Y*. - Changes in the frequency, intensity, or amount of
*Y*cause changes in the frequency, intensity, or amount of*X*. - Changes in the frequency, intensity, or amount of some third factor,
*Z*, cause changes in the frequencies, intensities, and amounts of both*X*and*Y*. - Any of the above scenarios (a), (b), or (c) is plausible.

- Changes in the frequency, intensity, or amount of
- Correlation is a measure of the extent to which the points in a scatter plot
- tend to lie near the origin
- tend to be arranged in a circle
- tend to be arranged along a straight line
- tend to lie near the center of the graph

- Why are the digits in the decimal expansion of the square root of 10 not truly random?
- Because they can be generated by an algorithm.
- Because the decimal expansion of the square root of 10 cannot be defined.
- Because the decimal expansion of the square root of 10 is a rational number.
- The premise is wrong! They are truly random.

**Fig. 7-13. **Illustration for Practice Test Questions 1 through 3.

**Fig. 7-14. **Illustration for Practice Test Questions 7 and 8.

**Answers**

- a
- b
- c
- c
- a
- a
- b
- d
- c
- a

From Statistics Demystified: A Self-Teaching Guide. Copyright © 2004 by The McGraw-Hill Companies. All Rights Reserved.

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