Name______Date______Period______

AQR UNIT IV Final Exam Review

  1. Consider the data set below. Construct a scatter plot using your calculator and make a sketch. Calculate a correlation coefficient, identify the model and write an equation that best fits your model.

x / 12 / 25 / 36 / 50 / 64
y / 100 / 75 / 52 / 26 / 9

r = ______

The above data set is a ______model.

= ______

  1. Consider the data set below. Construct a scatter plot using your calculator and make a sketch. Calculate a correlation coefficient, identify the model and write equation for your regression model.

x / 5.6 / 6.2 / 7 / 7.3 / 8.4
y / 120 / 130 / 141 / 156 / 167

r = ______

The above data set is a ______model.

= ______

  1. Fill in the blanks to complete this sentence:

The ______the points in a scatter plot are to a straight line, the stronger the linear

relationship is and the correlation coefficient (r) is closer to ______or negative _____.

  1. Fill in the blanks to complete the following sentence:

The ______the points in a scatter plot are to a straight line, the weaker the linear relationship is and the correlation coefficient (r) is closer to ______.

  1. Match the scatter plots on the left with the correct correlation coefficient on the right

A

B

C

D

  1. Fast food is often considered unhealthy because much of it is high in both fat and sodium. But are the two related? Here are the fat and sodium contents of several brands of burgers. To analyze the association between fat content and sodium, find the correlation coefficient for the data set below.

r = ______

Write the linear regression formula that best fits this data:

LSRL: = ______

  1. The 2002 Urban mobility Report issued by the Texas Transportation Institute gathered data regarding traffic delays. Consider the data gathered in the graph below. What are the variables of interest?

Variables of interest:______

  1. American League baseball games are played under the designated hitter rule, meaning that weak-hitting pitchers do not come to bat. Baseball owners believe that the designated hitter rule means more runs scored, which in turn means higher attendance. Consider that data gathered in the graph below. What are the variables of interest?

Variables of interest:______

  1. If a bouncy ball has a rebound percentage of 78%, predict how high the first five bounces will be if it is dropped from an initial height of 6.5 feet.

(round to 2 decimal places)

Bounce (n) / Recursive Process / Bounce Height
1
2
3
4

a. Which bounce is the first bounce before it has a bounce height of less than 3 feet?

b. Using the first 4 bounces, calculate an exponential regression model: ______

c. Using your model, which bounce is the first bounce before it has a bounce height of less

than 1 foot?

  1. Several rounds of auditions are being held to cast the three main parts in a play. There are 2567 actors at the first round of auditions. In each successive round of auditions, one fourth of the actors from the previous round remain.

a. What is the first day before less than 10 actors remain?

b. Write an exponential regression equation to model this situation:______

  1. Using the exponential model below which answer choice best represents the height of a ball on the 25th bounce.
  1. Roberta’s Resale shop had annual sales of $480,000 in 2001. She has since experienced an increase of 3% per year. What were her annual sales in 2010?

a. Does the function above represent exponential growth or exponential decay?

b. What is the y-intercept of the above function?

a. Does the function above represent exponential growth or exponential decay?

b. What is the y-intercept of the above function?

  1. Describe each function below:

A

B

C

D

E