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10) Solve the system of...

10) Solve the system of equations:

3x – 5y = 7

2x + 3y = 30

A. { (–1,–2) }

B. { (3,8) }

C. { (9,4) }

D. { (6,1) }

11) Solve the system of equations:

3x + 2y = 18

y = 3x

A. { (1,3) }

B. { (3,9) }

C. { (2,6) }

D. { (4,3) }

12) Solve the system of equations:

3x + y = –7

x – y = –5

A. { (–2,–1) }

B. { (1,–8) }

C. { (–3,2) }

D. { (–4,1) }

13) Which is true about reporting the Consumer Price Index (CPI)?

A. It is reported by the Federal Reserve

B. It is reported by the Bureau of Labor Statistics

C. It is reported bi-annually

D. It reports all commercial prices

14) Which of the following is a reason for computing an index?

A. To compare base periods

B. To organize similar data

C. To express a change in unlike items

D. To project future sales

15) A man earned $80,000 when the Consumer Price Index was 200. What were his earnings in terms of $2,000 if the base period was 2000?

A. $80,000

B. $40,000

C. $160,000

D. $60,000

16) The monthly incomes for a group of engineers are: $2,200, $2,400, $2,600, $3,100, $3,400, and $3,700. What are these ungrouped numbers called?

A. Raw data

B. Class limits

C. Histograms

D. Class frequencies

17) Why are unequal class intervals sometimes used in a frequency distribution?

A. To make the class frequencies smaller

B. To create variety in presenting the data

C. To avoid a large number of empty classes

D. To avoid the need for midpoints

18) What happens as we increase the number of classes in a histogram?

A. Class intervals become rounder

B. Class interval width increases

C. Central tendency becomes more obvious

D. There would be more classes

19) What is the slope of the line: 5y – x = 10

A. 1/2

B. 2

C. 1/5

D. -1

20) What is the slope of the line: 36x – 9y = 15

A. -5/3

B. 36

C. 4

D. 3

21) What is the slope of the line: 14y – 2x = 28

A. 7

B. -2

C. 1/7

D. 2

22) A linear regression model has a slope of –2.5 and an intercept of 10. The sample coefficient of determination is 0.50. What is the value of the sample correlation coefficient?

A. -0.25

B. -0.71

C. 0.25

D. 0.71

23) Which statement is true regarding the estimated slope of a linear regression line?

A. It could curve up or down as it moves to the right.

B. It is chosen so as to minimize the sum of squared errors.

C. It shows the change in x for a unit change in y.

D. It is always positive.

24) Which of the following is observed in a scatter plot when there is an inverse relationship between x and y?

A. Points slope down as it moves to the right.

B. Points create a horizontal line.

C. Points are mostly in the lower left and upper right quadrants.

D. Points curve up as it moves to the right

3x – 5y = 7

2x + 3y = 30

A. { (–1,–2) }

B. { (3,8) }

C. { (9,4) }

D. { (6,1) }

11) Solve the system of equations:

3x + 2y = 18

y = 3x

A. { (1,3) }

B. { (3,9) }

C. { (2,6) }

D. { (4,3) }

12) Solve the system of equations:

3x + y = –7

x – y = –5

A. { (–2,–1) }

B. { (1,–8) }

C. { (–3,2) }

D. { (–4,1) }

13) Which is true about reporting the Consumer Price Index (CPI)?

A. It is reported by the Federal Reserve

B. It is reported by the Bureau of Labor Statistics

C. It is reported bi-annually

D. It reports all commercial prices

14) Which of the following is a reason for computing an index?

A. To compare base periods

B. To organize similar data

C. To express a change in unlike items

D. To project future sales

15) A man earned $80,000 when the Consumer Price Index was 200. What were his earnings in terms of $2,000 if the base period was 2000?

A. $80,000

B. $40,000

C. $160,000

D. $60,000

16) The monthly incomes for a group of engineers are: $2,200, $2,400, $2,600, $3,100, $3,400, and $3,700. What are these ungrouped numbers called?

A. Raw data

B. Class limits

C. Histograms

D. Class frequencies

17) Why are unequal class intervals sometimes used in a frequency distribution?

A. To make the class frequencies smaller

B. To create variety in presenting the data

C. To avoid a large number of empty classes

D. To avoid the need for midpoints

18) What happens as we increase the number of classes in a histogram?

A. Class intervals become rounder

B. Class interval width increases

C. Central tendency becomes more obvious

D. There would be more classes

19) What is the slope of the line: 5y – x = 10

A. 1/2

B. 2

C. 1/5

D. -1

20) What is the slope of the line: 36x – 9y = 15

A. -5/3

B. 36

C. 4

D. 3

21) What is the slope of the line: 14y – 2x = 28

A. 7

B. -2

C. 1/7

D. 2

22) A linear regression model has a slope of –2.5 and an intercept of 10. The sample coefficient of determination is 0.50. What is the value of the sample correlation coefficient?

A. -0.25

B. -0.71

C. 0.25

D. 0.71

23) Which statement is true regarding the estimated slope of a linear regression line?

A. It could curve up or down as it moves to the right.

B. It is chosen so as to minimize the sum of squared errors.

C. It shows the change in x for a unit change in y.

D. It is always positive.

24) Which of the following is observed in a scatter plot when there is an inverse relationship between x and y?

A. Points slope down as it moves to the right.

B. Points create a horizontal line.

C. Points are mostly in the lower left and upper right quadrants.

D. Points curve up as it moves to the right

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