Calculating Residuals

A residual is the slope in your line of best fit

• True

• False

A residual is another word for correlation

• True

• False

Tags

CCSS.HSS.ID.C.9

A residual is the vertical distance between a data point and a line of fit.

• True

• False

A residual is the difference between what really happened and what was expected to happen.

• True

• False

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

How do you calculate a residual?

• Actual y - Predicted y

• Predicted y - Actual y

Tags

CCSS.HSS.ID.C.7

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

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

When a value is BELOW EXPECTED, its residual is...

• exactly equal to zero

• always close to zero

• a negative number

• undefined

When a value is ABOVE EXPECTED, its residual is...

• close to 1 or -1

• beyond 3 or -3

• a positive number

• equal to r

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the graph to estimate the residual for the book with 15 chapters and 130 pages. (What is the vertical distance between the line and the point?)

• 20 pages

• -20 pages

• -5 pages

• 5 pages

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7