# Question

The data points in a sample of size 9 are 34, 51, 40, 38, 47, 50, 52, 44, 37.

a. If you can take the deviations of these data from any number you select, and you want to minimize the sum of the squared deviations (SSD), what number would you select? What is the minimized SSD? How many degrees of freedom are associated with this SSD? Calculate the mean squared deviation (MSD) by dividing the SSD by its degrees of freedom.

b. If you can take the deviations from three different numbers you select, and the first number is to be used with the first four data points to get the deviations, the second with the next three data points, and the third with the last two data points, what three numbers would you select? What is the minimized SSD? How many degrees of freedom are associated with this SSD? Calculate MSD.

c. If you can select nine different numbers to be used with each of the nine data points, what numbers would you select? What is the minimized SSD? How many degrees of freedom are associated with this SSD? Does MSD make sense in this case?

d. If you are told that the deviations are to be taken with respect to 50, what is the SSD? How many degrees of freedom are associated with this SSD? Calculate MSD.

a. If you can take the deviations of these data from any number you select, and you want to minimize the sum of the squared deviations (SSD), what number would you select? What is the minimized SSD? How many degrees of freedom are associated with this SSD? Calculate the mean squared deviation (MSD) by dividing the SSD by its degrees of freedom.

b. If you can take the deviations from three different numbers you select, and the first number is to be used with the first four data points to get the deviations, the second with the next three data points, and the third with the last two data points, what three numbers would you select? What is the minimized SSD? How many degrees of freedom are associated with this SSD? Calculate MSD.

c. If you can select nine different numbers to be used with each of the nine data points, what numbers would you select? What is the minimized SSD? How many degrees of freedom are associated with this SSD? Does MSD make sense in this case?

d. If you are told that the deviations are to be taken with respect to 50, what is the SSD? How many degrees of freedom are associated with this SSD? Calculate MSD.

## Answer to relevant Questions

Your bank sends you a summary statement, giving the average amount of all checks you wrote during the month. You have a record of the amounts of 17 out of the 19 checks you wrote during the month. Using this and the ...When sampling is for a population proportion from a population with actual proportion p = 0.5, using a sample of size n = 120, what is the standard deviation of our estimator P-hat? In problem 5-44, what is the probability that the sample proportion will be at least 0.45? In problem 5-44 When sampling is for a population proportion from a population with actual proportion p = 0.5, using a sample of ...According to Money, the average U.S. government bond fund earned 3.9% over the 12 months ending in February 2007. Assume a standard deviation of 0.5%. What is the probability that the average earning in a random sample of 25 ...Japan's birthrate is believed to be 1.57 per woman. Assume that the population standard deviation is 0.4. If a random sample of 200 women is selected, what is the probability that the sample mean will fall between 1.52 and ...Post your question

0