Interpolation and Extrapolation

A positive correlation between two variables means...

• that as one variable increases, the other variable also increases

• that as one variable increases, the other variable decreases

• that as one variable decreases, the other variable increases

• the two variables are happy

Tags

CCSS.HSF-LE.A.1B

What is a correlation coefficient?

• Number between 0 and 1 that describes the strength of a relationship

• Number between -1 and 1 that describes the strength and direction of a linear relationship

• The type of relationship; positive, negative or none.

• The category of confusion with trend lines

Tags

CCSS.HSF-LE.A.1B

When using a regression line to predict with a value that is inside the given range of explanatory values is called....

• trend line

• interpolation

• extrapolation

• causation

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 

• 12 chapters
• 15 chapters
• 18 chapters
• 21 chapters

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

When using a regression line to predict with a value outside the given range of explanatory values is called....

• trend line

• interpolation

• extrapolation

• causation

Tags

CCSS.HSF-LE.A.1B

When analysing a scatter plot you must address

• form, direction, strength

• type, direction, strength

• form, slope, type

• strength, slope, intercept

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

How many pushups someone can do can be correlated to the distance they run. The regression equation for this is pushups =0.72 + 7.62miles.

Predict how many push-ups should someone be able to do if that person runs 3.75 miles? Would this be considered interpolation or extrapolation?

• 29.29 push-ups, interpolation

• 29.29 push-ups, extrapolation

• .40 push-ups, interpolation

• .40 push-ups, extrapolation

Tags

CCSS.HSF.LE.B.5

How many pushups someone can do can be correlated to the distance they run. The regression equation for this is pushups =0.72 + 7.62miles. Use this equation to determine how many miles should someone be able to run if that person does 24 push-ups? Is this considered interpolation or extrapolation?

• 3.06 miles, extrapolation

• 3.06 miles, interpolation

• 183.6 miles, interpolation

• 183.6 miles, extrapolation

Tags

CCSS.HSF.LE.B.5

Predicting the number of days to finish when you read 40 pages is an example of:

• Interpolation
• Extrapolation
• An outlier

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

Select the statement that best describes the line.

• The line is the line of best fit.
• The line is NOT a line of best fit because it does not pass through two points.
• The line is NOT a line of best fit because it does not go through the middle of the data set.
• The line is NOT a line of best fit because it does not go through the origin.

Tags

CCSS.8.EE.B.5