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Compute and Interpret the Coefficient of Determination Question A scientific study on calorie intake gives the...

Compute and Interpret the Coefficient of Determination

Question

A scientific study on calorie intake gives the following data table.

Calorie intake (1000) Weight gained (Ounces)
70 28
72 34
76 23
80 24
84 13

Using technology, it was determined that the total sum of squares (SST) was 237.2, the sum of squares regression (SSR)was 177.96, and the sum of squares due to error (SSE) was 59.244. Calculate R2 and determine its meaning. Round your answer to four decimal places.

Select the correct answer below:

R2=0.2498

Therefore, 24.98% of the variation in the observed y-values can be explained by the estimated regression equation.

R2=0.7503

Therefore, 75.03% of the variation in the observed y-values can be explained by the estimated regression equation.

R2=1.3329

Therefore, 13.329% of the variation in the observed y-values can be explained by the estimated regression equation.

R2=0.3329

Therefore, 33.29% of the variation in the observed y-values can be explained by the estimated regression

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