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

y = 0.3(5) + 2.1 = 1.5 + 2.1 = 3.6.

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

Points tightly clustered around an upward-sloping line indicate a strong positive linear 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

The slope is 6, meaning each additional hour increases cost by $6.

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

Exponential growth produces a curve that steepens continuously, unlike the U-shape of quadratic or the straight line of linear models.

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

A residual = actual − predicted; a point far from the line has a large difference, so the residual's absolute value is large.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

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