Correlations

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Question 7
The double rainbow is superimposed onto a grid, with selected points emphasized along the rainbow.

Complete the following statement by typing the correct number in the blank.

A quadratic function is the curve of best fit for this rainbow. Compare the coefficient of determination for a quadratic regression versus a linear regression. How much stronger does the quadratic regression curve fit the data than the linear curve? Round your answer to the nearest thousandth. blank

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Answer: Correct! Go to question 8. Incorrect. The answer is 0.998. The R²R squared value for the quadratic regression is 0.998. The R²R squared value for a linear regression is 0. The difference in these coefficients of determination values is 0.998 – 0 = 0.998.

Go to question 8. Incorrect. Try again. The coefficient of determination measures the proportion of the variance in the dependent variable that is predictable from the independent variable in the regression equation. This is the value of R²R squared.