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December 15, 2022

In this section you learned how to compute the linear correlation coefficient and the coefficient of determination

In this section you learned how to compute the linear correlation coefficient and the coefficient of determination

• What does r measure?

• What are the units on the value of r?

• What does an r value of 0 tell you about the data?

• What does r2 measure?

• What are the units on the value of r2? _

Remember for bigger data sets you can copy and paste the columns of data into StatCrunch.

For smaller sets of data you should practice using your TI84 since that is the only technology you have available in the classroom when you take the departmental final exam.

Fill in the following as you work through your given problems in MyOpenMath

1. a.) State the random variables in context.

rv X =

rv Y =

b.) Find the correlation coefficient and interpret in context.

__r___ = _____________ (symbol and value)

Interpret:

c.) Find the coefficient of determination and interpret in context.

___r^2__ = ________0.643________ (symbol and value)

2. a.) State the random variables in context.

rv X = the weight of a randomly selected car

rv Y = the mileage of a randomly selected car

b.) Find the correlation coefficient and interpret in context.

__r___ = ____-__________ (symbol and value)

c.) Find the coefficient of determination and interpret in context.

r^2 = _______________ (symbol and value)

Interpret:

3. Correlation implies causation: True or False

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