Understanding Correlation and Regression

What is a residual?

• The difference between an observed value and its predicted value from the regression line

• The sum of squared residuals

• The predicted value of y when x = 0

• The change in the dependent variable for each unit increase in the independent variable.

Tags

CCSS.HSS.ID.B.6B

What are influential points?

• Points that, if removed, would significantly change the slope, correlation, or y-intercept of the regression line

• Points with x-values far from the mean x

• Points that have large residuals

• Points that lie on the regression line.

Fill in the blank: Points with x-values far from the mean x are called ________.

• A) Outliers

• B) Influential Points

• C) High Leverage Points

• D) Regression Points

Fill in the blank: A square root transformation is used for ________ curvature.

• A) High

• B) Low

• C) Moderate

• D) No

Tags

CCSS.HSS.ID.B.5

What does the 'D' in the DUFS acronym stand for in scatterplots?

• Direction

• Data

• Distribution

• Determination

Tags

CCSS.HSS.ID.B.5

What does a strong correlation (r close to -1 or +1) imply?

• Causation

• No causation

• Randomness

• None of the above.

Tags

CCSS.HSS.ID.C.9

A clear pattern in the residual plot suggests what kind of relationship?

• Linear

• Nonlinear

• Random

• None

Tags

CCSS.HSF-LE.A.1B

Which of the following does not imply causation?

• Strong correlation

• Weak correlation

• No correlation

• All of the above

Tags

CCSS.HSS.ID.C.9

What does a pattern in the residual plot indicate?

• A) A perfect fit

• B) A nonlinear relationship

• C) No relationship

• D) Randomness

Tags

CCSS.HSS.ID.B.6B

Transformations are used to ______ nonlinear data.

• complicate

• simplify

• linearize

• randomize