Unit 6, Lesson 6
The Slope of a Fitted Line
Grade 8
Practice
Problem 1
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.
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Problem 2
Here is a scatter plot that compares hits to at bats for players on a baseball team.
Describe the relationship between the number of at bats and the number of hits using the data in the scatter plot.
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Problem 3
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?
A scatterplot. Horizontal, from 0 to 120, by thirty’s, labeled wingspan, millimeter. Vertical, from 0 to 40, by 10’s, labeled body length, millimeters. Line of best fit drawn, 70 data points above and below line, trend linearly upward and right.The line begins at about 5 comma 5 and contains points 6 comma 8 and 70 comma 30.
For every 1 mm the wingspan increases, the length of the butterfly increases 0.238 mm.
Problem 4
Nonstop, one-way flight times from O’Hare Airport in Chicago and prices of a one-way ticket are shown in the scatter plot.
A scatterplot. Horizontal, from 0 to 500, by 125’s, labeled flight time, minutes. Vertical, from 0 to 500, by 125’s, labeled price, dollars. 15 data points, above and below line, trend linearly upward and right, 1 point on line. 1 point far away from line at about 245 comma 425.
- Circle any data that appear to be outliers.
- Use the graph to estimate the difference between any outliers and their predicted values.