11.3.3 REVIEW B Test Review

Twelve females in their 20's were asked how long they exercise on a treadmill (in hours) and how many calories they burned from those exercises. The results are displayed in the given scatterplot. Determine if the following statements are true or false.

Groups:

(a) True

,

(b) False

• The response variable is time on treadmill (in hours)

• There is a negative correlation between the time on the treadmill in hours and the number of cal

• Since the points consistently increase, it is a strong correlation

• The slope of the linear regression line used to model the data will be positive

• The point (1.6, 608) represents someone who exercised for 1.6 miles and burned 608 calories

• The explanatory variable is time on treadmill (in hours)

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

• slope

• The relationship between the age of the car and the cost of the car

• coefficient of determination

• It is predicted that a new car (0 years old) of this model will be sold for $44,510.20

• y-intercept

• For every year the car ages, the resale value at this specific dealership decreases by $2,552.97

• correlation coefficient

• The percent variation in the cost of the car when compared to the age of the car, in years

Which correlation coefficient matches the given scatterplot?

• r= 0.10

• r= -0.32

• r= -0.83

• r= 0.71

How many outcomes are in each sample space?

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

• 6,840

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

• 1,140

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

• 312

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

• 1,248

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

• students who said math was not their favorite
• students who said math was their favorite
• seniors who said math was not their favorite
• total number of juniors

You roll a fair six-sided number cube four times. What is the probability that at least two of your rolls land on a 5? Be sure to explain your work.

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?

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.

e

f

g

h

a

63/70 = 0.9

22/70 = 0.31

14/22 = 0.64

14/70 = 0.2

22/41 = 0.54

27/70 = 0.39

49/70 = 0.7

14/41 = 0.34

You and your friends are playing a card game with a standard deck of 52 cards.  Using the multiplication rule for dependent and independent events, what are the probabilities for the following events?

• Draw a red queen, then a red 7 without replacement

• Draw two aces with replacement

• Draw a red jack and a black 8 with replacement

• Draw two 9's without replacement