Bluebook SAT Test Two-Variable Data: Models and Scatterplots 4

Question 1

Data on number of employees (x) and company revenue (y, millions) is modeled by y = 0.05x + 1.2. What does the slope represent?

Accepted Answer

Revenue increases by $0.05 million for each additional employee

Answer

The company earns $1.2 million with no employees

Answer

Revenue decreases by $0.05 million per employee

Answer

There are 0.05 employees per million dollars

Question 2

A quadratic model best fits a dataset when the scatterplot looks like which of these?

Accepted Answer

A U-shape or inverted U-shape (parabola)

Answer

A straight line sloping upward

Answer

A curve that accelerates upward without reversing

Answer

Randomly scattered points

Question 3

A linear model predicts that a car's value (y, dollars) decreases with age (x, years): y = −1200x + 18000. What was the car's initial value?

Accepted Answer

$18,000

Answer

$1,200

Answer

$16,800

Answer

$19,200

Question 4

Using the model y = −1200x + 18000, after how many years is the car's predicted value $9,600?

Accepted Answer

7

Answer

8

Answer

6

Answer

9

Question 5

A researcher fits both a linear and an exponential model to the same dataset. The exponential model has smaller residuals overall. What does this indicate?

Accepted Answer

The exponential model is a better fit for the data

Answer

The linear model is a better fit for the data

Answer

Both models fit equally well

Answer

The data has no pattern

Question 6

A scatterplot of daily high temperature (x, °F) vs. electricity usage (y, kWh) shows points going upward from left to right. The correlation is r = 0.78. How would you describe this relationship?

Accepted Answer

Moderate positive linear relationship

Answer

Strong negative linear relationship

Answer

Weak positive linear relationship

Answer

No linear relationship

Question 7

A line of best fit has the equation y = 0.8x + 3. Which point lies on this line?

Accepted Answer

(5, 7)

Answer

(5, 8)

Answer

(4, 7)

Answer

(10, 11)