Shelly found that the coefficient of determination between the age of a runner x and the runner’s finishing position y was about 0.728. what can she conclude? 72.8% of the variation in and the runner’s finishing position is explained by the runner’s age. 0.728% of the variation in and the runner’s finishing position is explained by the runner’s age. 53% of the variation in and the runner’s finishing position is explained by the runner’s age. 0.728 more variation in and the runner’s finishing position is caused by the runner’s age.

The answer is choice A. Roughly 72.8% of the variation in the finishing position can be explained by the runner's age.

All we do is move the decimal 2 spots to the right to convert to a percent. This is the same as multiplying by 100, so, 100*0.728 = 72.8%

There isn't any other work needed to be done because this is a useful property of the coefficient of determination.

Note: r^2 is the coefficient of determination while r itself is the correlation coefficient.

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step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).