Bluebook SAT Test Two-Variable Data: Models and Scatterplots 10

Question 1

Using the model y = −4x + 100, for what value of x does y = 0?

Accepted Answer

25

Answer

100

Answer

4

Answer

−25

Question 2

A scatterplot shows data points that curve upward steeply, consistent with y growing faster than any linear model. Which model is most appropriate?

Accepted Answer

Exponential

Answer

Linear

Answer

Constant

Answer

Absolute value

Question 3

A dataset has the best-fit line y = 1.5x + 4. A point at x = 6 has y_actual = 11. What is the residual?

Accepted Answer

-2

Answer

2

Answer

11

Answer

−0.5

Question 4

The scatterplot of temperature (x, °C) vs. snowfall (y, cm) shows a strong negative correlation. If x increases by 5°C, and the slope is −3, by how much does y change?

Accepted Answer

−15 cm

Answer

15 cm

Answer

−5 cm

Answer

3 cm

Question 5

A linear model y = 0.6x + 12 describes the relationship between monthly rainfall (x, inches) and mushroom count (y). What does 12 represent?

Accepted Answer

The predicted mushroom count when rainfall is 0 inches

Answer

The rate of mushroom growth per inch of rain

Answer

The maximum number of mushrooms

Answer

The minimum rainfall needed for mushrooms to appear

Question 6

A researcher calculates r² = 0.81 for a linear model. What percentage of the variation in y is explained by the model?

Accepted Answer

81%

Answer

9%

Answer

90%

Answer

19%

Question 7

A model y = x² − 6x + 10 is fit to data. What is the minimum value of y according to this model?

Accepted Answer

1

Answer

6

Answer

10

Answer

−6