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CanadaON
Grade 12

r^2 (coefficient of determination)

Interactive practice questions

Consider the graph on the right.

Loading Graph...

a

Would calculating the correlation coefficient be appropriate for this data set?

Yes

A

No

B
b

Why would it not be suitable to calculate the correlation coefficient?

Select all statements that apply.

The relationship graphed is not linear.

A

The outlier will bias the result.

B

There are not enough values given.

C
Easy
< 1min

Consider the graph on the right.

Easy
< 1min

Data on colony collapse disorder is collected across several years.

Easy
5min

A researcher plotted the life expectancy of a group of men against the number of cigarettes they smoke a day. The results were recorded and the correlation coefficient $r$r was found to be $-0.88$0.88.

Easy
< 1min
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Outcomes

12D.D.2.1

Recognize that the analysis of two-variable data involves the relationship between two attributes, recognize the correlation coefficient as a measure of the fit of the data to a linear model, and determine, using technology, the relevant numerical summaries

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