Unit 2 MC Review

The following table shows the number of registered voters in three different regions and the political party in which they are registered. Which of the following statements is supported by the table?

• The region with the greatest proportion of voters who are registered Democrat is region A.

• The region with the least proportion of voters who are registered Republican is region A.

• The region with the greatest proportion of voters who are registered Republican is region B.

• The proportion of voters who are registered Independent in region A is less than the proportion of voters who are registered Independent in region C

• The proportion of voters who are registered Republican in region C is greater than the proportion of voters who registered Republican in region B

A recent study investigated whether renowned violinists were able to classify the age of a violin. In the study, violins constructed before 1900 and violins constructed after 2010 were used. The violinists played each violin and were asked to classify the violin as old (constructed before 1900) or new (constructed after 2010). The responses are shown in the following table.

Which of the following statements is supported by the results in the table?

• The proportion of all new violins that are correctly classified is equal to the proportion of all old violins that are correctly classified

• The proportion of all new violins that are incorrectly classified is equal to the proportion of all old violins that are correctly classified.

• The proportion of all incorrectly classified violins that are old is equal to the proportion of all correctly classified violins that are new.

• The proportion of incorrectly classified violins that are old is equal to the proportion of all correctly classified violins that are new.

• The proportion of all correctly classified violins that are old is equal to the proportion of all new violins that are incorrectly classified

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

The following scatterplot displays the data collected on the mass, in grams, and the age, in days, for a sample of chameleon eggs. Which of the following is the best description of the relationship between the mass and the age of the chameleon eggs?

• The association if negative and linear

• The association is positive and linear

• There is no association between the variables

• The association is positive and nonlinear

• The association is negative and nonlinear

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

Identify the true statement about the correlation coefficient, r.

• The correlation coefficient is not affected by outliers

• A correlation coefficient of zero means that no relationship exists between the two variables.

• If two variables are negatively correlated, when one variable increases, the other variable increases.

• When the data points in a scatter plot are randomly scattered, the correlation between the two variables is weak

• The value of r ranges from zero to positive one.

Tags

CCSS.HSS.ID.A.3

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

Here is a scatterplot showing the relationship between the number of turnovers and the number of points scored for players in a recent NBA season. Does the fact that 𝑟=0.92 suggest that an increase in turnovers will cause NBA players to score more points? Explain your reasoning.

• Probably not. It is likely that both of these variables are changing due to several other variables, such as time played.

• Yes. There is a strong, positive association, so an increase in turnovers causes an increase in points for NBA players.

• Probably. Since there is a strong, positive association, an increase in turnovers is possibly causing an increase in points for NBA players.

• No. Although there is a strong, positive association, an increase in turnovers does not cause an increase in points for NBA players.

• Yes. There is a strong, positive correlation between the number of turnovers and the number of points scored for players in a recent NBA season and correlation implies causation.

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

The table consists of data on the fuel consumption 𝑦 of a car at various speeds 𝑥. Fuel consumption is measured in liters of gasoline per 100 kilometers driven, and speed is measured in kilometers per hour. A statistical software package gives the least-squares regression line y-hat = 11.058 - 0.01466x.

• The actual fuel consumption of the car driving 20 kilometers per hour is about 10.765 + 2.4 = 13.165 liters.

• The actual fuel consumption of the car driving 20 kilometers per hour is about 10.765 – 2.4 = 8.365 liters.

• The actual fuel consumption of the car driving 20 kilometers per hour is about 13.165 + 2.4 = 15.565 liters.

• The actual fuel consumption of the car driving 20 kilometers per hour is about 11.351 + 2.4 = 13.751 liters.

• The actual fuel consumption of the car driving 20 kilometers per hour is about 11.351 - 2.4 = 8.951 liters.

Tags

CCSS.HSS.ID.C.7

Measurements on young children in Mumbai, India, found this least-squares line for predicting y = height (in cm) from x = arm span (in cm):
𝑦̂ =6.4+0.93𝑥

By looking at the equation of the least-squares regression line, you can see that the correlation between height and arm span is

• greater than zero

• less than zero

• 0.93

• 6.4

• Can't tell without seeing the data

Tags

CCSS.HSS.ID.C.7

CCSS.HSS.ID.C.8

The following bar chart shows the number of different types of animals at two county fairs. Fair X had a total of 645 animals, and fair Y had a total of 590 animals. Which of the following statements is supported by the bar chart?

• The total number of cows, pigs, and horses combined is less at fair X than at fair Y

• Fair X has a least 20 more chickens than fair Y.

• At fair X, the numbers of sheep is twice the number of horses.

• The percentage of all animals at fair Y that are goats is equal to the percentage of all animals at fair X that are goats

• The percentage of all animals at fair Y is greater than the percentage of all animals at fiar X that are goats.

Tags

CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

A grocery store wants to examine the relationship between the sales amount each day at two different locations, store A and store B. The sales amount each day, in dollars, was recorded for 10 days at each store. The least-squares regression line is y-hat = -3000 + 1.2x, where x represents the sales amount each day at store A and y represents the sales amounts each day at store B. If the mean of the 10 sales amounts for store B is $45,000, what is the mean of the 10 sales amounts for store A?

• $35,000

• $40,000

• $42,000

• $45,000

• $51,000

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

Jordan is working on a business model for a sandwich shop. Based on past data, he developed the model n-hat = 150 - 3p, where n-hat represents the predicted number of turkey sandwiches sold in one day for a price of p dollars per sandwich. Which of the following is the best description of the slope of the model?

• For each increase of $3 in the price of the sandwich, the number sold is predicted to decrease, on average by 150.

• For each increase of $3 in the price of the sandwich, the number sold is predicted to increases, by average, by 150.

• For each increase of $1 in the price of the sandwich, the number sold is predicted to decrease, on average, by 3.

• For each increase of $1 in the price of the sandwich, the number sold is predicted to increase, on average, by 3.

• For each increase of $1 in the price of the sandwich, the number sold is predicted to decrease, on average, by 150

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3