Unit 6 Review

Median-Median Line

Find the median-median line for the following data:

(1, 4) (6, 8) (7, 11) (7.5, 10) (8, 9)

(9, 12) (9.5, 17) (10, 14) (12, 16)

1.

The table above shows the number of people y who rode the roller coaster at an amusement park x hours after the park had opened. Which type of function could the data in the scatter plot best be modeled by?

A. Cubic B. ExponentialC. Linear D. Quadratic

2.

Years of Experience

1 2 3 4 5 6 7

Salary 30,624 32,436

34,167 35,989 37,684 39,311 41,098The chart above show the teachers’ salary y in a certain school district,

where x is the number of years of experience. Find a model for the dataand use the linear regression to estimate (extrapolate) a teacher’s salary with 9 years of experience. y=1739x+28,950; $44,601

3.

Write the equation of a quadratic function whose graph has x-intercepts (-4, 0) and (2, 0) and passes through the point (3, 21).

A. y= (x +4)(x - 2) B. y = 3(x+4)(x - 2) C. y= (x - 4)(x - 2)D. y= 3(x - 4)(x - 2)

4.

Draw a scatter plot of the following data. Use the scatter plot to estimate the value of the correlation coefficient.

x 1 2 3 4 5 6 7 8 9y 1.

00.8

2.5

1.5

3.5

2.0

3.5

4.5

3.0

A.-1B.-0.5C.0.5D.1

Now, match the following to the answer choices above:

1. Strong positive correlation 2. Strong negative correlation

3. Weak positive correlation 4. Weak negative correlation

5.

The scatter plot gives the average class score y on each chapter test for the first 6

chapters x of the textbook. The linear regression line for the data is y =1.3x + 82.1 . Predict the average class score on

the chapter 9 test. About 94About 94

6.

Which choice describes data that have a negative correlation?

A. When the data points are graphed, they appear to form a vertical line.

B. When the data points are graphed, they rise from left to right.

C. When the data points are graphed, they appear to form a horizontal line.

D. When the data points are graphed, they fall from left to right.

7.

This scatter plot shows the relationship between the amounts of money spent updating a company’s website and the profit they made. Which statement best summarizes the relationship? A. As spending on updating their website goes up, profits go up.B. As spending on updating their website goes up, profits go down.C. As spending on updating their website goes down, profits go down.D. There is no relationship between money spent updating websites and profit.

8.

Which of the following could be a line of best fit for the following scatter plot?

A. y = 2x+6B. y = -2x+6C. y = -2x-6D. y = 2x-6

9.

Write the equation in vertex form of the parabola with vertex (-2, -3) containing the point (0, 5).

A.

B.

C.

D.

y (x 2)2 3

y 2(x 2)2 3

y 2(x 2)2 3

y 1

2(x 2)2 3

10.

Which statement best describes the correlation of the following data?

A.Positive Correlation B. Negative Correlation

C. Approximately No Correlation D. None of the Above

11.

Mrs. Marcello sells televisions at an electronics store. She made a scatter plot to determine the relationship between the sizes and prices of a random sample of television sets. She then sketched a line of best fit. Which is the best prediction (interpolation) of the cost of a 60-in tv?

Television Sizes and Prices

0

500

1000

1500

2000

2500

0 20 40 60 80

Television Size (in inches)

Pri

ce (

in d

oll

ars) A.$1,600

B.$1,300C.$1,900D.$2,200

12.

The scatter plot compares the number of times a movie was rented last week to the number of weeks it has been available on DVD. Which is the best prediction of the number of times a video will be rented after it has been available for 7 weeks?

Video Rentals

0

5

10

15

20

0 1 2 3 4 5 6

Weeks Available

Nu

mb

er

of

Re

nta

ls A.7 timesB.6 timesC.5 timesD.4 times

13.

Which type of function could the data in the scatter plot best be modeled by?

14.

A. Cubic B. LogarithmicC. Linear D. Quadratic