11.3.3 REVIEW A Test Review

Which interpretations and values of r² match each of the correlation coefficients below?

Groups:

(a) r= 0.71

,

(b) r= -0.84

• negative correlation

• positive correlation

• strong relationship

• moderate relationship

The table of data below shows data collected from five students in an Algebra 2 class. Each student reported how many minutes they studied for the test and how many questions they answered correctly out of 50.  What are the correct values of the slope, y-intercept, correlation coefficient r, and coefficient of determination r²?

slope: ​ (a)   ; y-intercept: ​ (b)   ; correlation coefficient (r): ​ (c)   ;

coefficient of determination (r²): ​ (d)  

• 0.45
• 18.40
• 0.96
• 0.92

Determine if the following statements are true or false.

Groups:

(a) True

,

(b) False

• Independent events occur when one event affects the probability of another event

• Complementary events make up the entire sample space and do not share elements

• A sample space is a subset of an event

• An element is a possible result of an experiment

• Disjoint events cannot occur at the same time, but joint events can

How many outcomes are in each sample space?

Use the fundamental counting principle or calculate a permutation or combination.

• 1,140

• Choose three books to give away from a set of 20

• 1,248

• Choose first place, second place, and third place winners from a group of 20 runners

• 312

• Flip a coin, draw from a bag of three marbles, choose a card from a standard 52-card deck

• 6,840

• Roll a fair number cube, choose a letter from the alphabet, and flip a coin three times

The two-way table below shows whether a student took the bus or drove a car to school and their grade level. What are the following probabilities?

You are playing a card game where you are asked to draw two cards from a standard deck without replacement. Let event A be drawing a king and event B be drawing a king. How would you describe these events?

• Complementary

• Independent

• Disjoint

• Dependent

Students at a local elementary school were asked if they had any pets and whether those pets had short hair or long hair. The table summarizes their answers. What are the probabilities for each question below? If necessary, round your answer to two decimal places.

d

e

f

g

63/70 = 0.9

22/70 = 0.31

49/70 = 0.7

14/70 = 0.2

14/22 = 0.64

22/41 = 0.54

14/41 = 0.34

Use the given table to create a scatterplot on the given grid. The table shows the number of minutes five adolescents spent outside on a summer day. Be sure to label your axes and give the scatterplot a title.

What is the equation of a linear regression for this data?

Interpret the slope of the equation.

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