Statistics Unit 3 Test

Your school counselor wants to see if he can predict a student’s first year college GPA (grade point average) based on their high school graduating GPA. The explanatory variable in this study is

• first year college GPA

• high school graduating GPA

• your school counselor

• number of credits take the first year of college

Tags

CCSS.HSS.ID.C.9

If two variables have a negative correlation, then

• larger values of one variable are associated with larger values of the other.

• smaller values of one variable are associated with smaller values of the other.

• smaller values of one variable are associated with larger values of the other.

• smaller values of one variable are associated with both larger/smaller values of the other.

Tags

CCSS.HSS.ID.B.5

A recent study looked into the relationship between political views and opinions about nuclear

energy. A survey administered to 100 randomly selected adults asked their political leanings as well as their approval of nuclear energy. The results are below:

What is the marginal distribution of political leanings?

• Liberal: 27%, Conservative: 19%, Independent: 54%

• Liberal: 10%, Conservative: 15%, Independent: 20%

• Liberal: 10%, Conservative: 9%, Independent: 8%

• Liberal: 45%, Conservative: 27%, Independent: 28%

Tags

CCSS.8.SP.A.4

The equation for this least-squares regression line is ŷ = 1.3x + 13.66. What is the predicted price

of a large pizza if I order 4 toppings?

• $18.86

• $16.50

• $6.52

• $20.15

What is the correct interpretation of the slope of the least-squares regression line?

• For every 1 pizza topping added, the price of the pizza will go up by $13.66.

• For every 1 pizza topping added, the price of the pizza will go up by $1.30.

• For every $1 increase in pizza price, the number of pizza toppings increases by approximately 13.66

• For every $1 increase in pizza price, the number of pizza toppings increases by approximately 1.3

Tags

CCSS.8.SP.A.3

The equation of a least-squares regression line is ŷ = −0.16x + 68.7. Here are the summary

statistics of the variables:

x̅= 185.69 y̅ = 39.62

Sx = 37.92 Sy = 11.09

What is the approximate correlation of the least-squares regression line?

• -0.157

• -0.046

• -0.547

• 0.287

Tags

CCSS.HSS.ID.C.8

The following table shows the theater ticket sales revenue for the last seven days, as well as how many people (patrons) have attended the theater.

Which of the following is the correct value for the slope of the regression line?

• 0.065

• 14.669

• 5.131

• -35.558

Tags

CCSS.HSS.ID.C.8

The correlation for a data set is r = -0.75. Which of the following scatterplots best matches this correlation?

• 
• 
• 
• 

Tags

CCSS.HSS.ID.B.5

The table below shows the data between the weight of a one-year-old baby (x) and the weight of

the child when they are 15 years old (y). The information is based on 14 females.

The regression equation for this data is ŷ = 1.28x + 99.25. Find the residual for a 20lb baby.

• 5.15

• 124.85

• -5.15

• -135.65

Tags

CCSS.HSS.ID.B.6B

Let x be the age in years of a licensed automobile driver. Let y by the percentage of all fatal accidents (for a given age) due to speeding. This relationship is shown in the table below.

The least squares regression line for this data is ŷ = −0.496x + 39.76

Which of the following is a true statement?

• The correlation between the age of a driver and the percentage of all fatal accidents due to speeding for that

  age is negative.

• There is a strong, positive, linear relationship between the age of a driver and the percentage of fatal

  accidents due to speeding.

• For every one year older you become, the probability you will get into a fatal accident decreases by 0.496.

• As you get older, you are more likely to get into a fatal accident due to speeding.

Tags

CCSS.8.SP.A.3