MULTIPLE CHOICE.  Choose the one alternative that best completes the statement or answers the question.

Solve the system using an appropriate method. If a system has an infinite number of solutions, use set-builder notation to write the solution set.  If a system has no solution, state this.

1)  x y =

x y =  

A) No solution

B) (, )

C) (, )

D) (, )

 

2)  x - 2y =  

x - y =  

A) (1, 0)

B) (0, )

C) No solution

D) (1, )

 

3)  x + y =

x + y =  

A) No solution

B)  for any real number y

C)   

D)   

 

Solve the problem.

4)  Given the cost and revenue functions below, find the break-even quantity.

C(x) = x

R(x) = x

A)  

B)  

C)  

D)  

 

5)  Find the profit function given the cost and revenue functions below.

R(x) = x

C(x) = x  

A) P(x) = x  

B) P(x) =  x

C) P(x) = x

D) P(x) = x  

 

Graph the specified functions.

6)  Producing x units of an item costs C(x) = x  dollars.

The revenue from the sale of x of the items is R(x) = x dollars.

Graph the cost and revenue functions on the same axes.

 

 

A)

 

B)

 

C)

 

D)

 

 

Plot a scatter diagram for the given data points.

7)  x:                      

y:                     

 

 

A)

 

B)

 

C)

 

D)

 

 

Find the least squares regression line  for the given data points. Round the final values to the neasrest hundredth.

8)   

A) y = 0.75x + 4.07

B) y = 0.85x + 3.07

C) y = 0.75x + 5.07

D) y = 0.95x + 3.07

 

A set of data points is given together with the equation of the regression line. Graph the regression equation and the scatter plot on the same axes.

9) 

 

                                Equation of regression line: y = 3.0x

 

 

A)

 

B)

 

C)

 

D)

 

 

Determine whether you think that the correlation between the variables would be rather low or rather high. Also say whether you think the correlation coefficient would be positive or negative.  Give  an estimate of what you think the correlation coefficient would be.

10)  The hours of training each week of athletes and their time to run 100 meters

A) High and positive, 0.8

B) Close to zero

C) Low and positive, 0.3

D) High and negative, -0.7

 

Compute r, the coefficient of correlation for the given data points.

11)   

A)  

B) 0

C)  

D)  

 

Use the given data to find the least squares regression line.  Round the final values to three significant digits, if necessary.

12)  In the table below, x represents the number of years since 2000 and y represents the population (in thousands) of the town Boomville.  Find the least squares regression line which can be used to predict the population of Boomville (in thousands) in any given year.

 

 

A) y = 25x - 5

B) y = 12x + 20

C) y = 28x - 10

D) y = 18x + 8

 

Use the least squares regression equation to predict the y-value corresponding to the given x-value.

13)  Eight pairs of data yield the regression equation .

x represents the number of hours that a student studies for a test and y represents their score on the test. What score would be predicted for a student who studies   hours for the test?

A) 57.8

B)  

C)  

D) 71.125


 

MULTIPLE CHOICE.  Choose the one alternative that best completes the statement or answers the question.

1)  D

ID: FM3Yc1-5 1.4.2-5

Objective: Solve Linear System  of Two Equations

 

2)  C

ID: FM3Yc1-5 1.4.2-8

Objective: Solve Linear System  of Two Equations

 

3)  B

ID: FM3Yc1-5 1.4.2-10

Objective: Solve Linear System  of Two Equations

 

4)  B

ID: FM3Yc1-5 1.4.4-5

Objective: Find Break-Even Quantity/Point Given Cost and Revenue Functions

 

5)  A

ID: FM3Yc1-5 1.4.5-1

Objective: Find Profit Function Given Cost, Revenue Functions

 

6)  D

ID: FM3Yc1-5 1.4.6-1

Objective: Graph Cost, Revenue, Profit Functions

 

7)  D

ID: FM3Yc1-5 1.5.1-2

Objective: Plot Scatter Diagram

 

8)  C

ID: FM3Yc1-5 1.5.2-4

Objective: Find Regression Equation

 

9)  D

ID: FM3Yc1-5 1.5.3-1

Objective: Graph Regression Equation and Scatter Plot

 

10)  D

ID: FM3Yc1-5 1.5.4-3

Objective: Estimate Correlation

 

11)  A

ID: FM3Yc1-5 1.5.5-2

Objective: Find Coefficient of Correlation

 

12)  A

ID: FM3Yc1-5 1.5.6-6

Objective: Solve Apps: Find Regression Equation

 

13)  C

ID: FM3Yc1-5 1.5.7-1

Objective: Solve Apps: Use Regression Line to Make Prediction