Suppose that you have the monthly income of ten individuals, 5 women (F) and 5 men (M).

Suppose that you have the monthly income of ten individuals, 5 women (F) and 5 men (M). Please answer the following questions according to the table below.

Gender (X) Income (Y)
F 3900
F 4800
F 5000
F 4500
F 4900
M 5800
M 5500
M 6000
M 5200
M 4000

1. Please calculation the total sum of squares. Please show the procedures of the calculation.

2. Please calculate (1) the improved sum of squares due to X (between sum of squares) and (2) the remaining sum of squares not due to X (within sum of squares). Please show the procedures of the calculation.

3. Set up a null hypothesis to test whether there is a relationship between gender and income.

4. Please calculate the F-ratio based on Q1 and Q2. Please show the procedures of the calculation.

5. Check whether F value is significant at the level of 0.05 with the specified degree of freedom using the table of F values in Appendix D at the end of the textbook.

6. Decide to accept or reject the null hypothesis based on the result of Q5, and explain why?

7. Calculate the percent variation of Y that is explained by X, and the percent variation of Y that is unexplained by X. Please show the procedures of the calculation.

8. Please keep two places after the decimal in reporting results of calculations if the results are not integers

I have attched pcitures of chapter 9 and 12 which show the steps for the assignment. I have name them by the page number starting with chapter 9 starting from page 149-160
Chapter 12 starting from page 214-226