Data represents the time between eruptions and the length of eruption for 8 rand

Question

Data represents the time between eruptions and the length of eruption for 8 randomly selected geyser eruptions. The coefficient of determination is found to be 96.3%. Inerpret this result.

96.3% of the variation in length of eruption is/is not explained by the least-squares regression equation.

OR

96.3% of the variation in time between eruptions is/is not explained by the least-squares regression equation

Time, X Length, Y Time, X Length, Y 12.28 1.88 11.44 1.68 11.59 1.70 11.74 1.71 12.04 1.82 12.25 1.90 12.19 1.85 11.58 1.71

Explanation / Answer

The dependent variable 'Y' is the Length. The R-square value also known as the coefficient of determination tells us about the amount of variation in dependent variable explained by the independent variable(s).

So in this case R-square value will tell us the amount of variation in "length" explained by the variable "time".

So,96.3% of the variation in length of eruption is explained by the least-squares regression equation.

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