Question 1

Find the correlation coefficient.
-Consider the data points with the following coordinates:

Accepted Answer

A)  $ 0.5370 $ 
B)  $ 0.0537 $ 
C)  $ -0.0781 $ 
D)  $ 0.2245 $

Question 2

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (13,5), \mathrm{m}=-2 $

Accepted Answer

A)  $ y=-2 x+5 $ 
B)  $ y=2 x+23 $ 
C)  $ y=-2 x+31 $ 
D)  $ y=2 x-31 $

Question 3

Assume that the sales of a certain appliance dealer can be approximated by a straight line. Suppose that sales were $13,500 in 1982 and $65,000 in 1987. Let x = 0 represent 1982. Find the equation
Giving yearly sales S.

Accepted Answer

A) S = 51,500x + 65,000 
B) S = 51,500x + 13,500 
C) S = 10,300x + 65,000 
D) S = 10,300x + 13,500

Question 4

Find the slope of the line. $
4 x-5 y=-5
$

Accepted Answer

A)  $ -\frac{5}{4} $ 
B)  $ \frac{4}{5} $ 
C)  $ -\frac{4}{5} $ 
D)  1

Question 5

The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters). Use the equation of the least squares line to predict the Growth of a plant if the temperature is 53.

Accepted Answer

A)  $ 24.67 \mathrm{~mm} $ 
B)  $ 26.21 \mathrm{~mm} $ 
C)  $ 26.63 \mathrm{~mm} $ 
D)  $ 25.78 \mathrm{~mm} $

Question 6

The outdoor temperature rises to 22° Fahrenheit. What is this temperature in Celsius?

Accepted Answer

A) -10° 
B) 22° 
C) -5.6° 
D) 12.2°

Question 7

Find the slope of the line.

Accepted Answer

A)  $ -2 $ 
B)  $ -\frac{1}{2} $ 
C)  2 
D)  $ \frac{1}{2} $

Question 8

Solve the problem.
-The information in the chart gives the salary of a person for the stated years. Model the data with a linear function using the points (1, 24,100)and (3, 26,800).

Accepted Answer

A)  $ y=1350 x+22,750 $ 
B)  $ y=-1591 x+22,750 $ 
C)  $ y=29.5 x+22,750 $ 
D)  $ y=1350 x $

Question 9

Write a cost function for the problem. Assume that the relationship is linear.
-A moving firm charges a flat fee of $40 plus $35 per hour. Let C(x)be the cost in dollars of using the moving firm for x hours.

Accepted Answer

A) C(x)= 40x + 35 
B) C(x)= 35x + 40 
C) C(x)= 35x - 40 
D) C(x)= 40x - 35

Question 10

Graph the equation.
-y = 3x - 2

Accepted Answer

A)  
B)  
C)  
D)

Question 11

Find the equation of the least squares line.
-Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained Regarding their GPAs on entering the program versus their current GPAs.

Accepted Answer

A)  $ y=3.67+0.0313 x $ 
B)  $ y=4.91+0.0212 x $ 
C)  $ y=2.51+0.329 x $ 
D)  $ y=5.81+0.497 x $

Question 12

Solve the problem.
-Find an equation for the least squares line representing weight, in pounds, as a function of height, in inches, of men. Then, predict the weight of a man who is 68 inches tall to the nearest tenth of a Pound. The following data are the (height, weight)pairs for 8 men: (66, 150), (68, 160), (69, 166),
(70, 175), (71, 181), (72, 191), (73, 198), (74, 206).

Accepted Answer

A) 161.2 pounds 
B) 165.1 pounds 
C) 160.0 pounds 
D) 151.4 pounds

Question 13

Solve the problem.
-For some reason the quality of production decreases as the year progresses at a light bulb manufacturing plant. The following data represent the percentage of defective light bulbs Produced at a light bulb manufacturing plant in the corresponding month of the year.  Use the equation of the least squares line to predict in which month the percentage of defective
Light bulbs would be 1.83%.

Accepted Answer

A) February 
B) May 
C) March 
D) April

Question 14

Solve the problem.
-On a summer day, the surface water of a lake is at a temperature of 30° Celsius. What is this temperature in Fahrenheit?

Accepted Answer

A) 86° 
B) 30° 
C) 54° 
D) 62°

Question 15

Solve the problem.
-The following are costs of advertising (in thousands of dollars) and the number of products sold (in thousands):

Accepted Answer

A)  $ 0.6112 $ 
B)  $ 0.2635 $ 
C)  $ 0.6756 $ 
D)  $ -0.3707 $

Question 16

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (5,9) $, perpendicular to $ -9 x-4 y=-9 $

Accepted Answer

A)  $ y=\frac{4}{9} x+\frac{61}{9} $ 
B)  $ y=-\frac{5}{4} x-\frac{9}{4} $ 
C)  $ y=-\frac{4}{9} x+\frac{61}{9} $ 
D)  $ y=\frac{9}{4} x+\frac{9}{4} $

Question 17

Find the slope of the line.

Accepted Answer

A)  $ \frac{3}{2} $ 
B)  3 
C)  undefined 
D)  0

Question 18

For the following table of data, 
A. Draw a scatterplot.
B. Calculate the correlation coefficient.
C. Calculate the least squares line and graph it on the scatterplot.
D. Predict the y-value when x is -19.

Accepted Answer

A) 
 
B) 
 
C)  
D)

Question 19

Find the correlation coefficient.
-The following are costs of advertising (in thousands of dollars)and the number of products sold thousands):

Accepted Answer

A)  $ 0.7077 $ 
B)  $ 0.2353 $ 
C)  $ 0.2456 $ 
D)  $ -0.0707 $

Question 20

If a company decides to make a new product, there are fixed costs and variable costs 
associated with this new product. Explain the differences of the two types of costs and
why they occur. Use an example to illustrate your point.

Accepted Answer

The answer of If a company decides to make a...

Exam 1: Linear Functions

Find the correlation coefficient. -Consider the data points with the following coordinates:

Find an equation in slope-intercept form (where possible) for the line. -Through $(13,5) , \mathrm{m}=-2$

Assume that the sales of a certain appliance dealer can be approximated by a straight line. Suppose that sales were $13,500 in 1982 and $65,000 in 1987. Let x = 0 represent 1982. Find the equation Giving yearly sales S.

Find the slope of the line. $4 x-5 y=-5$

The outdoor temperature rises to 22° Fahrenheit. What is this temperature in Celsius?

Find the slope of the line. $Find the slope of the line. A) -2 B) -\frac{1}{2} C) 2 D) \frac{1}{2}$

Solve the problem. -The information in the chart gives the salary of a person for the stated years. Model the data with a linear function using the points (1, 24,100) and (3, 26,800) .

Write a cost function for the problem. Assume that the relationship is linear. -A moving firm charges a flat fee of $40 plus $35 per hour. Let C(x) be the cost in dollars of using the moving firm for x hours.

Graph the equation. -y = 3x - 2

Find the equation of the least squares line. -Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained Regarding their GPAs on entering the program versus their current GPAs.

Solve the problem. -On a summer day, the surface water of a lake is at a temperature of 30° Celsius. What is this temperature in Fahrenheit?

Solve the problem. -The following are costs of advertising (in thousands of dollars) and the number of products sold (in thousands) :

Find an equation in slope-intercept form (where possible) for the line. -Through $(5,9)$ , perpendicular to $-9 x-4 y=-9$

Find the slope of the line. $Find the slope of the line. A) \frac{3}{2} B) 3 C) undefined D) 0$

For the following table of data, A. Draw a scatterplot. B. Calculate the correlation coefficient. C. Calculate the least squares line and graph it on the scatterplot. D. Predict the y-value when x is -19.

Find the correlation coefficient. -The following are costs of advertising (in thousands of dollars) and the number of products sold thousands) :

If a company decides to make a new product, there are fixed costs and variable costs associated with this new product. Explain the differences of the two types of costs and why they occur. Use an example to illustrate your point.

Exam 1: Linear Functions

Find the correlation coefficient. -Consider the data points with the following coordinates:

Find an equation in slope-intercept form (where possible) for the line. -Through (13,5) ,m=−2 (13,5) , \mathrm{m}=-2 (13,5) ,m=−2

Assume that the sales of a certain appliance dealer can be approximated by a straight line. Suppose that sales were $13,500 in 1982 and $65,000 in 1987. Let x = 0 represent 1982. Find the equation Giving yearly sales S.

Find the slope of the line. 4x−5y=−54 x-5 y=-54x−5y=−5

The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters) . Use the equation of the least squares line to predict the Growth of a plant if the temperature is 53.

The outdoor temperature rises to 22° Fahrenheit. What is this temperature in Celsius?

Find the slope of the line.

Solve the problem. -The information in the chart gives the salary of a person for the stated years. Model the data with a linear function using the points (1, 24,100) and (3, 26,800) .

Write a cost function for the problem. Assume that the relationship is linear. -A moving firm charges a flat fee of $40 plus $35 per hour. Let C(x) be the cost in dollars of using the moving firm for x hours.

Graph the equation. -y = 3x - 2

Find the equation of the least squares line. -Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained Regarding their GPAs on entering the program versus their current GPAs.

Solve the problem. -On a summer day, the surface water of a lake is at a temperature of 30° Celsius. What is this temperature in Fahrenheit?

Solve the problem. -The following are costs of advertising (in thousands of dollars) and the number of products sold (in thousands) :

Find an equation in slope-intercept form (where possible) for the line. -Through (5,9) (5,9) (5,9) , perpendicular to −9x−4y=−9 -9 x-4 y=-9 −9x−4y=−9

Find the slope of the line.

For the following table of data, A. Draw a scatterplot. B. Calculate the correlation coefficient. C. Calculate the least squares line and graph it on the scatterplot. D. Predict the y-value when x is -19.

Find the correlation coefficient. -The following are costs of advertising (in thousands of dollars) and the number of products sold thousands) :

If a company decides to make a new product, there are fixed costs and variable costs associated with this new product. Explain the differences of the two types of costs and why they occur. Use an example to illustrate your point.

Find an equation in slope-intercept form (where possible) for the line. -Through $(13,5) , \mathrm{m}=-2$

Find the slope of the line. $4 x-5 y=-5$

Find the slope of the line. $Find the slope of the line. A) -2 B) -\frac{1}{2} C) 2 D) \frac{1}{2}$

Find an equation in slope-intercept form (where possible) for the line. -Through $(5,9)$ , perpendicular to $-9 x-4 y=-9$

Find the slope of the line. $Find the slope of the line. A) \frac{3}{2} B) 3 C) undefined D) 0$