Linear Regression Models and Residuals

What is a line of best fit used for?

• To make predictions
• To make the graph look pretty
• To connect the points

Tags

CCSS.8.EE.B.5

The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.

• 10 miles
• 617.5 miles
• 0.19 miles
• 500 miles

Tags

CCSS.8.EE.C.8C

As study time _______________, errors _______________.

• increases ; decrease
• increases ; increase
• decreases; decrease
• increases ; stays the same

Tags

CCSS.HSF-LE.A.1B

The linear regression equation is y = 61.93x - 1.79.  According to the model, the slope can be interpreted as:

• After 0 hours of driving, they went 61.93 miles.
• They drove at a speed of 61.93 miles per hour.
• They drove 61.93 miles total.
• They drove 61.93 hours total.

Tags

CCSS.HSF.LE.B.5

The results of a linear regression are shown.

Which phrase best describes the relationship between x and y?

• strong negative correlation

• strong positive correlation

• weak negative correlation

• weak positive correlation

Tags

CCSS.HSF.LE.B.5

Residuals are . . . 

• possible models not explored by the researcher
• variation in the response variable that is explained by the model
• the difference between the observed response and the values predicted by the model
• data collected from individuals that is not consistent with the rest of the group

How do you calculate a residual?

• Observed - Predicted
• Predicted - Observed

If the line of regression is y = 3.45x - 6.7 and the actual point is (5,12), what is the residual for that point?

• 1.45

• -1.45

• 34.7

• -34.7

Tags

CCSS.8.EE.C.8C

A scatter plot and residual plot are the same thing.

• True
• False

Tags

CCSS.8.EE.B.5

What should a residual plot look like?

• Distinct Pattern
• Curve
• Random

Tags

CCSS.HSF-LE.A.1B