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Coefficient of Determination

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Wize University Statistics Textbook > Scatterplots, Association, and Correlation

Coefficient of Determination

3 Activities

We want to see if the amount of training a employee receives is associated with the number of mistakes they make on the job. The coefficient of determination is 0.49.

True or false? Enter T for True; F for False.


More Coefficient of Determination Questions:
Coefficient of Determination
In a military aircraft the correlation between altitude (height) in feet (xx) and the number of hits (yy) on a certain target is 0.59. What is the correct conclusion?
Coefficient of Determination
In a military aircraft the correlation between altitude (height) in feet (xx) and the number of hits (yy) on a certain target is 0.59. What is the correct conclusion?
Coefficient of Determination
The following data is collected about 2 quantitative variables.
xˉ\bar{x}= 6 yˉ\bar{y}= 7
sxs_{x}= 2 sys_{y}= 2.6
Coefficient of Determination
(iii) What percent in the variation of body fat could be explained by age?
Coefficient of determination
If the coefficient of determination r2r^2 is very strong, then xx and yy have a linear relationship.
Correlation: Coefficient of Determination
True or false?
About 81% of the variation of quantities sold can be explained by price. The correlation between price and sales revenue is r=0.9r=0.9.
Correlation and Residual Plots
Pamela and Tim are trying to be healthy by taking the stairs instead of the elevator. We want to see there is a relationship between the floor you live on and the time it takes to get to your floor from the lobby. Pamela lives on the 8th floor. Tim lives in the penthouse on the 20th floor.
∑x2=258\sum_{ }^{ }x^2=258
∑y2=687\sum_{ }^{ }y^2=687