Scatter Plots Line of Best Fit Equations

Which of the following would be the most accurate equation for the scatter plot?

• y = -2x - 7

• y = -x + 7

• y = 4x + 7

• y = 25x + 7

Which of the following could be a possible line of best fit for the data?

• y = -1.5x + 20

• y = -0.5x + 19

• y = x + 20

• y = .7x + 15 

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 shows a line of best fit for data collected on the amount of income earned by lawn companies in relation to the number of yards mowed.  What is the equation of the line of best fit?

• y = (3/2) x

• y = 30x

• y = 30x + 300

• y = (3/2)x + 300

Take a look at the scatter plot and line of best fit at right. Is the line of best fit correct? Why or why not?

• Yes, it falls well within most of the data observed.

• No, most of the data points fall below the line.

• Yes, there are points above and below the line.

• No, the line’s slope does not match the trend of the data.

Take a look at the scatter plot and line of best fit. Is the line of best fit correct? Why or why not?

• No, while the line does cross through some points, it does not follow the slope of the data.

• Yes, there are approximately the same points above and below the line.

• No, not enough points are plotted to determine if this is an accurate line.

• Yes, the line trends closely with the observed data.

What is the equation of the line of best fit? Read the units carefully on this one!

• y = 750 x + 9500

• y = - 750 x +11000

• y = (3/4) x + 11

• y = - (3/4) x + 11000

Mrs. Moises, the school counselor, keeps a candy jar in her office for students.  During one week, she kept count of how many students came to visit her and the number of candies in the jar, as show in the scatter plot.  Based on the trend line, what is the best prediction for the number of candies in the jar when 15 students visit her?

• 120

• 180

• 210

• 270

the slope is -5/7, what does that mean?

• gain 5 hour of sleep for 7 cups of coffee

• lose 5 hours of sleep for 7 cups of coffee

• lose 7 cups of coffee for 5 hours of sleep

• lose 5 cups of coffee for 7 hours of sleep

Find the slope for the trend line.

• 2

• 1/2

• -2

• -1/2