IXL | Interpret lines of best fit: word problems

Harold is the owner of a skateboard company. Every year, he generates a report of the product designers' salaries and their years of employment at the company. This scatter plot shows the data from this year along with the line of best fit.

The equation for the line of best fit is

1,300

38,000

According to the equation, which of these statements is true?

A product designer's starting salary is about $39,300.

A product designer's salary is likely to increase by about $1,300 each year.

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Learn with an example

question

Hansen tracks the statistics of his favorite professional basketball player. This scatter plot shows how many shots the player took in some games this season and how many baskets the player made. It also shows the line of best fit.

The equation for the line of best fit is

According to the equation, which of these statements is true?

If the player takes 24 shots, he would probably make about 14 baskets.

If the player takes 22 shots, he would probably make about 10 baskets.

key idea

A line of best fit roughly describes the relationship between two variables in a set of data. You can use a line of best fit to make predictions from a scatter plot.

solution

You can use the equation for the line of best fit to make predictions. Consider each statement.

red X symbol, If the player takes 24 shots, he would probably make about 14 baskets.

Plug

into the equation and find

the predicted number of baskets made.

(

)

According to the equation, a player who takes 24 shots would probably make about 11 baskets, not 14 baskets.

green checkmark, If the player takes 22 shots, he would probably make about 10 baskets.

Plug

into the equation and find

the predicted number of baskets made.

(

)

According to the equation, a player who takes 22 shots would probably make about 10 baskets.

Looking for more? Try these:

Lesson: Line of best fit

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Teacher tools

Work it out

Not feeling ready yet? These can help:

CC.12Evaluate a linear function: word problems

AA.3Slope-intercept form: find the slope and y-intercept

II.6Make predictions with scatter plots

Lesson: Line of best fit

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