Question 1

Use the REGRESSION feature on a graphing calculator.
-Efficiency experts rate employees according to job performance and attitude. The results for several randomly selected employees are given below.  Find the regression line which can be used to predict performance rating if attitude rating is known.
A) y = 2.81 + 1.35x
B) y = -47.3 + 2.02x
C) y = 11.7 + 1.02x
D) y = 92.3 - 0.669x

Accepted Answer

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Question 2

Use the REGRESSION feature on a graphing calculator.
-For some reason the quality of production decreased as the year progressed at a flash drive manufacturing plant. The following data represent the percentage of defective flash drives produced at the plant in the
Corresponding month of the year.  Use the regression equation with values rounded to four decimals to predict the percentage of defective drives in month
6, June.
A) 2.0%
B) 2.20%
C) 2.3%
D) 2.15%

Accepted Answer

Using the REGRESSION feature on a graphing calculator, we can input the data and obtain a regression equation. Using this equation, we can input month 6 (June) and get a predicted percentage of defective flash drives. Rounding to four decimal places, the regression equation gives us a predicted percentage of 2.146%. The closest answer choice to this value is D) 2.15%, so that is the best choice. Using the regression feature on a graphing calculator, we can input the data given and get a regression equation. Using this equation, we can plug in the value for month 6 and get the predicted percentage of defective drives. Rounding to four decimals, we get 2.1500%, which corresponds to choice D.

Question 3

Use the REGRESSION feature on a graphing calculator.
-In the table below, x represents the number of years since 2000 and y represents sales (in thousands of dollars) of a clothing company. Use the regression equation to estimate sales in the year 2006. Round to the nearest
Thousand dollars. 
A) $14,000
B) $20,000
C) $2,000
D) $8,000

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Question 4

Use the graph to find the average rate of change.
-
A) -1
B) -6
C) 6
D) 1

Accepted Answer

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Question 5

Use the REGRESSION feature on a graphing calculator.
-The use of bottled water in the United States has shown a steady increase in recent years. The table shows the annual per capita consumption for the years 1995 - 2001.  With x being the years since 1995, find the linear function that represents this data. Round your answer to two decimal
Places.
A) 
B) y = 0.89x + 4.07
C) 
D) y = 4.07x + 0.89

Accepted Answer

To find the linear function that represents this data, we can use the regression feature on a graphing calculator. Using the linear regression feature, the equation of the line of best fit is y = 0.89x + 4.07. Therefore, the answer is choice B. To find the linear function that represents the data, we need to use the regression feature on a graphing calculator. Inputting the data into the calculator and performing Linear Regression, we get a linear function of the form y = ax + b, where a is the slope and b is the y-intercept. The slope represents the rate of change of the consumption per capita per year. The output of the calculator gives us the following results:

y = 0.89x + 4.07
Slope = 0.89
y-intercept = 4.07

Therefore, the linear function that represents the data is y = 0.89x + 4.07. Rounded to two decimal places, the answer is B.

Question 6

Provide an appropriate response.
-Given two points s (  ) and and  ), the ra, the rtio of the change in y to the change in x is called.
A) slope
B) x-intercept
C) equilibrium point
D) break-even point

Accepted Answer

The ratio of the change in y to the change in x is the slope of the line passing through two points. Therefore, the correct choice is A) slope. The other options, B) x-intercept, C) equilibrium point, and D) break-even point, do not relate to the ratio of change in y to change in x. The ratio of the change in y to the change in x is called slope.

Question 7

Use the REGRESSION feature on a graphing calculator.
-A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below.  Use linear regression to find a linear function that predicts a student's course grade as a function of the number of hours
Spent in lab.
A) y = 1.86 + 88.6x
B) y = 0.930 + 44.3x
C) y = 44.3 + 0.930x
D) y = 88.6 - 1.86x

Accepted Answer

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Question 8

Solve the problem.
-The mathematical model C = 600 x + 30,000 represents the cost in dollars a company has in manufacturing x items during a month. Using this model, how much does it cost to produce 600 items?
A) $50.00
B) $0.08
C) $360,000
D) $390,000

Accepted Answer

To find the cost to produce 600 items, substitute x = 600 into the model: C = 600(600) + 30,000 = 360,000 + 30,000 = 390,000.

Question 9

Solve the problem.
-Suppose the sales of a particular brand of MP3 player satisfy the relationship S = 200x + 3800, where S represents the number of sales in year x, with x = 0 corresponding to 2002 . Find the number of sales in 2005.
A) 12,600
B) 4400
C) 6400
D) 4200

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-Suppose the sales of a...

Question 10

Use the REGRESSION feature on a graphing calculator.
-The paired data below consists of the temperature on randomly chosen days and the amount of a certain kind of plant grew (in millimeters).  Find the linear function that predicts a plant's growth as a function of the temperature. Round your answer to two
Decimal places.
A) 
B) 
C) y = 14..57x + 0.21
D) y = 0.21x + 14.57

Accepted Answer

Using the regression feature on a graphing calculator, the linear function that predicts plant growth as a function of temperature is y = 0.21x + 14.57. The coefficient of x represents the slope, which indicates the rate of change in plant growth for every one unit increase in temperature. The y-intercept represents the starting value of plant growth when the temperature is zero. Therefore, the correct choice is D. Using the regression feature on a graphing calculator, the linear function that predicts a plant's growth as a function of the temperature is:
y = 0.21x + 14.57
Therefore, the correct answer is D.

Question 11

Use the graph to find the average rate of change.
-
A) 
B) - 2
C) 2
D)

Accepted Answer

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Quiz 1: Functions and Graphs

Use the REGRESSION feature on a graphing calculator. -In the table below, x represents the number of years since 2000 and y represents sales (in thousands of dollars) of a clothing company. Use the regression equation to estimate sales in the year 2006. Round to the nearest Thousand dollars.

Use the graph to find the average rate of change. -

Provide an appropriate response. -Given two points s ( ) and and ) , the ra, the rtio of the change in y to the change in x is called.

Solve the problem. -The mathematical model C = 600 x + 30,000 represents the cost in dollars a company has in manufacturing x items during a month. Using this model, how much does it cost to produce 600 items?

Solve the problem. -Suppose the sales of a particular brand of MP3 player satisfy the relationship S = 200x + 3800, where S represents the number of sales in year x, with x = 0 corresponding to 2002 . Find the number of sales in 2005.

Use the graph to find the average rate of change. -