Question

8. A researcher wishes to determine whether the rate of water flow (x) (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away(y) (in kilograms). The researcher measures the amount of soil washed away for various flow rates, finds that the sample mean flow rate is 6.1 L/s with a standard deviation of 0.5 L/s. Also the sample mean for the amount of eroded soil is 4.2 kg with a standard deviation of 1.2 kg. if the correlation between flow rate (x) and the amount of eroded soil (y) is 0.65 then give a. The equation of the least squares regression line of y on x. b. What is the predicted amount of eroded soil for a flow rate of 10 L/s? 9. The correlation between amount of time spent studying for a final and the final exam grade is 0.9. Explain what this means

Answer 1

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8.10) Let the regression line is (estimated) is (estimated) I on x. y = at Bri Here we have have the conrelation between blow and the amount of enoded soil (7) is 0.65 rate (4) then give B = b Ty 0.65 x 1.2 - 1.56 x = *- 8 8 - 4402 - 1056 X 6.1 = -5-316 The equation of the least squares regression line ob y on X y -5.316 +1.56 x de i Here we b), need to bind. Y:)x= 10 = -5.316 +2.56*10) = 20 284 is - 0.9, which there is a perbect, positive and strong correlation exists between study time and exom grad 9. Let means