>>Determine the coefficient of determination. The coefficient of correlation bet

Question

>>Determine the coefficient of determination. The coefficient of correlation between x and y is r = 0.81. Calculate the coefficient of determination R2.

>>Construct the requested confidence interval. A study was conducted to determine if the salaries of firefighters from two neighboring cities were different. A sample of 75 firefighters from each city was randomly selected. The mean from the first city was $38,200 with a population standard deviation of $3100. The mean from the second city was $40,150 with a population standard deviation of $3300. Construct a 99% confidence interval for 1 - 2.

Explanation / Answer

>>Determine the coefficient of determination. The coefficient of correlation between x and y is r = 0.81. Calculate the coefficient of determination R2.

R2 = 0.81^2 = 0.6561

>>Construct the requested confidence interval. A study was conducted to determine if the salaries of firefighters from two neighboring cities were different. A sample of 75 firefighters from each city was randomly selected. The mean from the first city was $38,200 with a population standard deviation of $3100. The mean from the second city was $40,150 with a population standard deviation of $3300. Construct a 99% confidence interval for 1 - 2.

alpha / 2 = 0.005 df = 75+75-2 = 148 t=2.57

I: 38200 - 40150 +/- 2.57 *SRQT ( 3100^2 / 75 + 3300^2 / 75 )

-1950 +/- 1343.63

-3293.63 < miu1 - miu 2 < -606.37

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