Quiz about Modeling Linear Data

Question 1

1. What is the correlation coefficient and the line of best fit?

Accepted Answer

A

Answer

B

Question 2

What is the correlation coefficient and the line of best fit?

Accepted Answer

A

Answer

B

Question 3

What is the correlation coefficient and the line of best fit?

Accepted Answer

B

Answer

D

Answer

A

Answer

C

Question 4

Question 4.

Accepted Answer

11.75

Answer

4

Answer

10.75

Answer

12.75

Question 5

Question 5.

Accepted Answer

13

Answer

12

Answer

14

Answer

18

Question 6

What is the possible function for this model?

Accepted Answer

$$y=ax+b$$

Answer

$$y=ax^2+bx+c$$

Answer

$$y=e^x$$

Answer

$$y=\frac{a}{x}$$

Question 7

Estimate the correlation coefficient for this scatterplot.

Accepted Answer

r = -0.9

Answer

r = 1

Answer

r = 0.9

Answer

r = -1

Question 8

A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $1.50 off an order. Since the donut shop has gained popularity they have changed their coupon which now provides a discount of only half their original coupon's value. What is the equation that represents the value of a customer's order who uses the new coupon with their order?

Accepted Answer

y = 6.50x - 0.75

Answer

y = 6.50x + 0.75

Answer

y = 6.50x - 1.50 - 0.75

Answer

y = 5x - 0.75

Question 9

Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?

Accepted Answer

y = 7x + 5

Answer

y = 5 + 12x

Answer

y = 12x

Answer

y = 12x + 12

Question 10

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.

Accepted Answer

3x + 15 = 99 and 28 movies

Answer

15x + 3x = 99 and 6 movies

Answer

15x + 3 = 99 and 6 movies

Answer

3x + 99 = 15 and 28 movies

Question 11

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

Accepted Answer

y = 1.5x + 12

Answer

y = 12x + 1.5

Answer

y = 0.67x - 8

Answer

y = -8x + 0.67

Question 12

A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.

Accepted Answer

y = 61.93x - 1.79

Answer

y = -1.79x + 61.93

Answer

y = 0.016x + 0.03

Answer

y = 0.03x + 0.016

Question 13

The annual profits for a company are given in the following table, where x represents the number of years since 1992, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the year in which the profits would reach 378 thousand dollars.

Accepted Answer

2003

Answer

2029

Answer

2014

Answer

8753

Question 14

The chart below tracts starting salaries for health care workers since the year 2000. Using linear regression, find the equation of best fit. Round decimals to 3 places.

Accepted Answer

y = 839.721x + 27541.812

Answer

y = 27541.812x - 839.721

Answer

y = 27541.812x + 839.721

Answer

y = 839.721x - 27541.812

Question 15

The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 1994, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2003, rounded to the nearest whole number.

Accepted Answer

974

Answer

25,101

Answer

940

Answer

952

Question 16

Sam is considering two job offers. One offers a base salary of $42,000, plus 3% of gross sales. The other offers a base salary of $33,000 plus 8% of gross sales. How much would Sam need to make in gross sales for the offers to be the same?

Accepted Answer

$180,000

Answer

$220,000

Answer

$150,000

Answer

$200,000

Modeling Linear Data

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