Linear Regression AP Stats

Describe the correlation in the graph shown.

• Strong Negative
• Strong Positive
• Weak Negative
• Weak Positive

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

Describe the correlation in the graph shown.

• Strong Negative
• Strong Positive
• Weak Negative
• Weak Positive

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

What letter do we use to represent correlation coefficient?

• c
• r
• p
• h

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

What's the appropriate interpretation of the slope of the regression line?

• For every additional 0.61 hours of growth, the culture is predicted to weight 1 more gram.
• For every additional hour of growth, the culture is predicted to weigh 0.61 more grams.
• For every additional hour of growth, the logarithm of the culture's weight in grams is predicted to increase by 0.61.
• At the beginning of the experiment, the logarithm of the culture's weight in grams was approximately 0.61 ounces.

Tags

CCSS.HSS.ID.C.7

What does r² stand for?

• correlation coefficient
• coefficient of determination
• slope of the line of best fit (LOBF) for a sample
• slope of the line of best fit (LOBF) for a population

Tags

CCSS.HSS.ID.C.8

Which is TRUE?
I.  Random scatter in the residuals indicates a linear model.
II.  If two variables are very strongly associated, then the correlation between them will be near 1 or -1.
III.  Changing the units of measurement for x or y changes the correlation coefficient.

• I only
• II only
• I and II only
• I, II and III

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

What should a residual plot look like?

• Distinct Pattern
• Curve
• Random with no pattern
• A few clumps

How do you calculate a residual?

• Observed - Predicted
• Predicted - Observed

• This residual graph represents a linear fit.
• This graph represents a nonlinear fit.
• This residual graph represents no fit.

Tags

CCSS.HSF.IF.B.4

The equation of a regression line is y = 0.5x + 35 where x is father’s height in inches and y is son’s height in inches. For a father who is 72 inches tall, what would we predict for the son’s height?

• 69 inches 
• 71 inches 
• 72 inches
• 74 inches

Tags

CCSS.HSF.LE.B.5