Find the Equation for Line of Best Fit

Write the linear regression equation for the following data points. Round to the nearest hundredth.

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

Suppose a LINE OF BEST FIT passes through the points (6, 34) and (8, 50). The EQUATION of this line is . . .? (hint: find the slope and the equation in point-slope form. THEN put it into slope-intercept form)

• y = 8x – 5

• y = 2x

• y = 2x + 7

• y = 8x – 14

Suppose a LINE OF BEST FIT passes through the points (4, 8) and (6, 2). The Y-INTERCEPT of this line is . . .? (hint: find the equation in point-slope form first and then put it into slope-intercept form)

• 11

• 4

• 9

• 20

What is the equation of the line of best fit?

• y = -25x + 170

• y = -5/8x + 170

• y = 25x + 170

• y = 5/8x + 170

Suppose data related to the AVERAGE Temperature outside (T) and the number of winter Coats (C) sold at a store is collected and graphed.

The LINE OF BEST FIT has the equation C = -3T + 150.

Use this equation to predict the number of coats sold when the average temperature outside is 20°.

• 40

• 75

• 90

• 115

What is the line of best fit?

• y = 5/3x + 375

• y = 1/3x + 475

• y = 5/3x + 3

• y = 1/3x + 375

Find the slope for the trend line using points (2,2) and (4,3)

• 2

• 1/2

• -2

• -1/2

The equation of the trend line
is  y= 1/2x +1
How many laps can a bicycle
make around the park in
23 minutes?    

• 44 laps

• 12 1/2 laps

• 23 laps

Use your line of best fit equation to determine what the temperature will be for 20 days.

• 11.28 degrees

• 4.42 degrees

• 44.12 degrees

• 20.17 degrees