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Several stats questions

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6. Why can't you obtain a correlation coefficient greater than ±1?

8. As the value of r approaches ±1, what does it indicate about the following:
a) The consistency in the X-Y pairs
b) The variability of the Y scores at each X
c) The closeness of the Y scores to the regression line
d) the accuracy with which we can predict Y if X is known

12. For each of the following indicate whether it is a positive linear, negative linear, or nonlinear relationship:
a) Quality of performance (Y) increases with increased arousal (X) up to an optimal level; then quality of performance decreases with increased arousal
b) Overweight people are (X) less healthy (Y)
c) As number of minutes of exercise increases each week (X), dieting individuals lose more pounds (Y)
d) The number of bears in an area (Y) decreases as the area becomes increasingly populated by humans (X)

18. A researcher measures the following scores for a group of people. The X variable is the number of errors on a math test, and the Y variable is the person's level of satisfaction with his/her performance.
a) With such ratio scores, what should the researcher conclude about this relationship? (Hint: compute something)

b) How well will we be able to predict satisfaction scores using this relationship?

Participant Errors X Satisfaction Y
1 9 3
2 8 2
3 4 8
4 6 5
5 7 4
6 10 2
7 5 7

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Solution Preview

6. Correlation coefficient value represents how closely the relationship between two variables is linear. In this case, it cannot be more than 100%. Therefore, the correlation coefficient needs to be between -1 and 1.

8. d is the right answer.

12. For each of the following indicate whether it is a positive linear, negative linear, or nonlinear relationship:
a) ...

Solution Summary

The solution assists with answering several statistics example questions.

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Several basic statistics and finite math problems

Attached are the math/algebra problems that I am having a hard time solving. Please show your work so I have an understanding of how to solve future problems of these sorts....Thanks!

(Please see the attachment rather than the copied material here.)

____________________________________________________

Use the following to answer questions 1-2:

Continent or Region Land Area
(1,000 mi2)
% of Earth Population
1900 Population
1950 Population
2000
North America 9,400 16.2 106,000,000 221,000,000 305,000,000
South America 6,900 11.9 38,000,000 111,000,000 515,000,000
Europe 3,800 6.6 400,000,000 392,000,000 510,000,000
Asia (including
Russia) 17,400 30.1 932,000,000 1,591,000,000 4,028,000,000
Africa 11,700 20.2 118,000,000 229,000,000 889,000,000
Oceania (including
Australia) 3,300 5.7 6,000,000 12,000,000 32,000,000
Antarctica 5,400 9.1 Uninhabited ? ?
World Total 57,900 1,600,000,000 2,556,000,000 6,279,000,000

1. Use the world population and land area table.
What was the mean population of all inhabited areas except Asia in 2000?

A) 510,000,000 B) 193,000,000 C) 133,600,000 D) 450,200,000

2. Use the world population and land area table.
What is the total land area of South America?

A) 6,900,000 mi2 B) 38,000,000 mi2 C) 6,900 mi2 D) 11.9 mi2

Use the following to answer question 3:

3. The pie chart shows the distribution of a person's total yearly income of $36,000. Find the amount budgeted for utilities.

A) $4,320 B) $1,800 C) $3,600 D) $2,880

4. Find the median of the following set of numbers.

4, 5, 6, 9, 11

A) 6 B) 4 C) 7 D) 5

5. The following scores were recorded on a 100-point examination:
95, 75, 76, 86, 96, 71, 68, 81, 95, 76, 69, 82, 93, 88, 94

Find the mean and median final examination scores.

A) mean: 83; median: 81 C) mean: 82; median: 83
B) mean: 81; median: 83 D) mean: 83; median: 82

6. Find the median of the following set of numbers.

33, 72, 23, 27, 77, 68, 85

A) 72 B) 27 C) 55 D) 68

Use the following to answer question 7:

7. Use the bar graph, showing the attendance at a circus for 7 days in September, to find the median attendance over the 7 days.

A) 4,000 B) 5,600 C) 3,200 D) 4,800

8. Find the first and third quartiles, Q1 and Q3, of the following set of numbers.

13, 4, 12, 16, 8, 14, 8, 3, 10, 8

A) 3; 16 B) 4; 14 C) 4; 12 D) 8; 13

9. Find the mean of the following set of numbers.

13, 15, 18, 18, 18, 19, 22, 26, 28, 33

A) 21 B) 20.6 C) 20 D) 20.3

10. Find the mode of the following set of numbers.

15, 14, 10, 15, 16

A) 14 B) no mode C) 15 D) 10

11. The following pie chart shows the budget for a local company. The total budget is $560,000. Find the amount budgeted in the category of miscellaneous.

A) $56,000 B) $140,000 C) $224,000 D) $84,000

12. Find the first and third quartiles, Q1 and Q3, of the following set of numbers.

0.16, 0.08, 0.27, 0.20, 0.22, 0.32, 0.25, 0.18, 0.28, 0.27

A) 0.16; 0.28 B) 0.18; 0.27 C) 0.16; 0.27 D) 0.18; 0.28

13. Add

A) B) C) D)

14. Evaluate

A) 14 B) C) D)

15. Subtract

A) -15.4 B) 1.2 C) 15.4 D) -1.2

16. Multiply

A) 273.6 B) -45.6 C) -456 D) 7.6

17. Divide

A) 4 B) C) 5 D)

18. Find the reciprocal of

A) B) C) D)

19. Perform the indicated operation.

A) B) C) Undefined D) 180

20. Place the following set of numbers in ascending order.

25, -13, 8, -2, 13, 3, 18

A) -13, -2, 3, 13, 8, 18, 25 C) -13, 3, -2, 8, 13, 18, 25
B) 25, 18, 13, 8, 3, -2, -13 D) -13, -2, 3, 8, 13, 18, 25

21. Divide

22. Place the following set of numbers in ascending order.

23. Multiply

24. Which of the following numbers are integers?

25. Divide

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