Lesson 06: The Slope of a Fitted Line | Unit 6: Associations in Data

Multiple Choice

Which of these statements is true about the data in the scatter plot?

• As $$x$$ increases, $$y$$ tends to increase.

• As $$x$$ increases, $$y$$ tends to decrease.

• As $$x$$ increases, $$y$$ tends to stay unchanged.

• $$x$$ and $$y$$ are unrelated.

Multiple Choice

What does the scatter plot suggest about the relationship between the number of at bats and the number of hits?

• There is a positive correlation between the number of at bats and the number of hits.
• There is no correlation between the number of at bats and the number of hits.
• The number of hits decreases as the number of at bats increases.
• There is a negative correlation between the number of at bats and the number of hits.

Multiple Choice

The linear model for some butterfly data is given by the equation $$y = 0.238x + 4.642$$ . Which of the following best describes the slope of the model?

• For every 1 mm the wingspan increases, the length of the butterfly increases 0.238 mm.

• For every 1 mm the wingspan increases, the length of the butterfly increases 4.642 mm.

• For every 1 mm the length of the butterfly increases, the wingspan increases 0.238 mm.

• For every 1 mm the length of the butterfly increases, the wingspan increases 4.642 mm.

Multiple Choice

Using the data in the scatter plot, what can you tell about the slope of a good model for this data?

• The slope is positive.

• The slope is zero.

• The slope is negative.

• There is no association.

Multiple Choice

Using the data in the scatter plot, what is a reasonable slope of a model that fits this data?

• -2.5

• -1

• 1

• 2.5

Multiple Choice

What does the slope mean in this situation? Context: Here is a scatter plot that shows the number of assists and points for a group of hockey players. The model, represented by $$y = 1.5 x + 1.2$$ , is graphed with the scatter plot.

• The slope means that for each assist, the player scores 1.5 additional points.
• The slope means that the total points are equal to the number of assists.
• The slope shows that the player scores 1.5 points for every assist they make.
• The slope indicates that for every point, the player makes 1.5 assists.

Multiple Choice

Based on the model, how many points will a player have if he has 30 assists? Context: Here is a scatter plot that shows the number of assists and points for a group of hockey players. The model, represented by $$y = 1.5 x + 1.2$$ , is graphed with the scatter plot.

• 52.8
• 46.2
• 30.5
• 39.0

Multiple Choice

Here is a scatter plot of weight vs. age for different Dobermanns. The model represented by $$y = 2.45x + 1.22$$ is graphed with the scatter plot. Here, $$x$$ represents age in weeks, and $$y$$ represents weight in pounds. What is the slope and what does it mean in this situation?

• The slope is 2.45, indicating weight decreases by 2.45 pounds per week.
• The slope is 1.22, indicating weight increases by 1.22 pounds per week.
• The slope is 2.45, indicating weight increases by 2.45 pounds per week.
• The slope is 3.00, indicating weight increases by 3.00 pounds per week.

Multiple Choice

Based on the model $$y = 2.45x + 1.22$$ , how heavy would you expect a newborn Dobermann to be?

• 5.00 pounds
• 10.50 pounds
• 15.75 pounds
• 1.22 pounds