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Coefficient of Determination
Related Topics
Wize University Statistics Textbook > Scatterplots, Association, and Correlation
Coefficient of Determination
3 Activities
In a military aircraft the correlation between altitude (height) in feet (
x
x
x
) and the number of hits (
y
y
y
) on a certain target is 0.59. What is the correct conclusion?
59% of variations in altitude are explained by variations in number of hits
59% of variations in number of hits are explained by variations in altitude
34.81% of variations in altitude are explained by variations in number of hits
34.81% of the variation in the number of hits is explained by the variation in altitude
I don't know
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More Coefficient of Determination Questions:
Coefficient of Determination
In a military aircraft the correlation between altitude (height) in feet (
x
x
x
) and the number of hits (
y
y
y
) on a certain target is 0.59. What is the correct conclusion?
Coefficient of Determination
The following data is collected about 2 quantitative variables.
x
ˉ
\bar{x}
x
ˉ
= 6
y
ˉ
\bar{y}
y
ˉ
= 7
s
x
s_{x}
s
x
= 2
s
y
s_{y}
s
y
= 2.6
Coefficient of Determination
(iii) What percent in the variation of body fat could be explained by age?
Coefficient of Determination
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.
Coefficient of determination
If the coefficient of determination
r
2
r^2
r
2
is very strong, then
x
x
x
and
y
y
y
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
=
0.9
r=0.9
r
=
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.
∑
x
2
=
258
\sum_{ }^{ }x^2=258
∑
x
2
=
258
∑
y
2
=
687
\sum_{ }^{ }y^2=687
∑
y
2
=
687