IXL | Interpret lines of best fit: word problems

Janice owns a bakery, and she thinks she may be baking too many loaves of bread. She decides to keep track of how many loaves she bakes each day and how many of those loaves are unsold at the end of the day. This scatter plot shows the data Janice collected and the line of best fit.

The equation for the line of best fit is

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

About 10 loaves are baked each day.

About

of the loaves go unsold each day.

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Learn with an example

question

At Berry Brothers U-Pick Farm, customers can pick blueberries for as long as they want. This scatter plot shows the amount of blueberries picked and the length of time some customers spent picking blueberries. The scatter plot 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?

A typical customer picks about

of a pound of blueberries per minute.

A typical customer picks about

of a pound of blueberries per minute.

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.

The equation for a line of best fit can be written in the form

The slope is
m
.
It represents the predicted rate of change.
The
y
-intercept
is
b
.
It represents the predicted
y
-value
when
x
=
0
.

solution

The equation for the line of best fit is

It is in the form

is the predicted rate of change.

Write the predicted rate of change with units. The units on the

-axis

are pounds, and the units on the

-axis

are minutes.

change in y

change in x

pound

minutes

The rate is 1 pound per 12 minutes, which is

of a pound per minute. So, a typical customer picks about

of a pound of blueberries per minute.

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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