Bluebook SAT Test Two-Variable Data: Models and Scatterplots 2

Question 1

The line of best fit for data relating study time (x, hours) to GPA (y) is y = 0.3x + 2.1. A student studies 5 hours. What GPA does the model predict?

Accepted Answer

3.6

Answer

3.3

Answer

3.9

Answer

2.6

Question 2

A scatterplot shows data points tightly clustered around a line sloping upward from left to right. What can be concluded?

Accepted Answer

There is a strong positive linear correlation

Answer

There is a weak positive linear correlation

Answer

There is a strong negative linear correlation

Answer

There is no correlation

Question 3

The linear model y = 6x + 15 predicts the cost (y, dollars) of renting x hours of equipment. By how much does cost increase for each additional hour of rental?

Accepted Answer

$6

Answer

$15

Answer

$21

Answer

$9

Question 4

Which scatterplot characteristic suggests an exponential model is more appropriate than a linear model?

Accepted Answer

The data curves upward with increasing steepness

Answer

The data forms a straight line

Answer

The data curves upward then downward symmetrically

Answer

The residuals are randomly scattered

Question 5

In a scatterplot, an outlier is a point that lies far from the line of best fit. If a point is an outlier, what happens to the residual for that point?

Accepted Answer

The residual has a large absolute value

Answer

The residual equals zero

Answer

The residual is always negative

Answer

The residual is always positive

Question 6

A line of best fit passes through the points (2, 10) and (6, 18). What is the slope of this line?

Accepted Answer

2

Answer

4

Answer

0.5

Answer

8

Question 7

A quadratic model y = x² − 4x + 7 is fitted to data. What is the predicted value when x = 3?

Accepted Answer

4

Answer

10

Answer

7

Answer

2