T3U12 Residuals Practice

How do you calculate a residual?

• Actual - Predicted

• Predicted - Actual

I predicted someone would lose 14 lbs, but they actually lost 12 lbs. Calculate the residual.

• 14 - 12 = 2

• 12 - 14 = -2

• 14 - 2 = 12

• 2 - 14 = -12

Tags

CCSS.HSF-LE.A.1C

I predicted someone would score a 78% on their test, but they actually scored an 81%. Calculate the residual.

• 81 - 78 = 3

• 78 - 81 = -3

• 81 - 3 = 78

• 3 - 81 = -78

Match each description to its best meaning.

• The point is close to the line

• A small residual value means...

• The point is below the line of best fit

• A large residual value means...

• The point is on the line of best fit

• A negative residual value means...

• The point is far away from the line

• A positive residual value means...

• The point is above the line of best fit

Answer explanation

Residual is the distance between the actual value and the predicted value.

If the residual is 0 that means the distance is 0, so the actual value is actually matches the predicted value (it's on the line!)

The graph shows a scatter plot and its line of best fit.

How many positive residuals does this graph have?

(a)  

• 1
• 1.5
• -0.5
• 0.5

• 160
• 162.9
• -2.9
• 2.9
• 540.9

• 80

• -80

• 229.9

• -229.9

• 150