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To Compute the Coefficient of
Determination,
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Example: Compute and interpret the coefficient of determination,
,
for the per capita GDP versus life-expectancy data shown below.
|
Country |
Per Capita GDP (000s) |
Life Expectancy |
Country |
Per Capita GDP (000s) |
Life Expectancy |
|
Austria |
21.4 |
77.48 |
Ireland |
18.6 |
76.39 |
|
Belgium |
23.2 |
77.53 |
Italy |
21.5 |
78.51 |
|
Finland |
20.0 |
77.32 |
Netherlands |
22.0 |
78.15 |
|
France |
22.7 |
78.63 |
Switzerland |
23.8 |
78.99 |
|
Germany |
20.8 |
77.17 |
United Kingdom |
21.2 |
77.37 |
Coefficient of Determination,
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Using Table 1 on pg. 293, enter the X-values into L1 and the Y-values into L2. Press STAT. Highlight CALC, select 4:LinReg(ax+b), press ENTER. (For this example, we are not storing the regression equation in Y1.)
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The
value of
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,
.655, is displayed in the output.