Best Graph to Fit a Data Set

The graph above shows a line of best fit for data collected on the distance bicyclists have remaining in relation to the amount of time they have been riding.  What is the equation of the line of best fit?

• y = -25x + 170

• y = 25x + 170

• y = -(5/8) x + 170

• y = (5/8) x + 170

The graph above shows a line of best fit for data collected on the amount earned by waiters and waitresses last week in relation to the number of tables they served.  What is the equation of the line of best fit?

• y = (5/3) x + 375

• y = (1/3) x + 475

• y = (5/3) x + 475

• y = (1/3) x + 375

Looking at the graph showing a line of best fit, what is the correlation shown?

• Length of life is constant

• Length of life increases as amount of sunlight increases

• Length of life increases as amount of sunlight decreases

• Length of life decreases as amount of sunlight increases

A group of students did an experiment to see how drinking cups of coffee right before bed affected sleep.  The results are shown below in the scatter plot with a line of best fit.  Use the given line of best fit to approximate the rate of change relative to the scatter plot.

• (7/5) hours/cup

• (5/7) hours/cup

• - (7/5) hours/cup

• - (5/7) hours/cup

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

• A

• B

• C

• D

Use your graphing calculator to enter this data, then calculate the equation for the line of best fit. (Round each decimal to the nearest tenth)

• y = -25.1x + 5.6

• y = 25.1x + 5.6

• y = -5.6x + 25.1

• y = 5.6x + 25.1

Which scatter plot shows a linear relationship between x and y?

• Graph A

• Graph B

• Graph C

• Graph D

What is a line of best fit used for?

• To make predictions

• To make the graph look pretty

• To connect the points

• To make it look like you know what you are doing

Which line is the best line of best fit?

• a

• b

• c

• i don't see any lines

Shown is a residual plot. Would a linear regression model of the data be most appropriate?

• YES

• NO