Please help me quickly answer thank you

2. (25 points) A botanist placed 10 one-weekold soybean seedlings in individual pots. After 31 days of growth, she harvested, dried, and weighed 5 of the soybean plants (randomly selected); 3 days later, she harvested, dried, and weighed the rest of the soybean plants. So, in the end, she had data presented in the following table. Days of growth 31 31 31 31 31 34 34 34 34 34 Dryweight (gm) 8.31 7.67 '5.09 7.01 6.96 9.13 12.51 12.30 10.80 9.04 a. Make a scatter plot of Y = Dry weight against 3 = Days of growth. From the plot, does it look like that the constant variance assumption in the simple linear regression model is satised? (You may make the plot using a computer, or draw it by hand.) b. In order to test the hypothesis of = 3 vs of 7E 03, where of is the variance of the regression error corresponding to w,- = 31, and 022, is the variance of the regression error corresponding to 2:,- = 34, the Brown-Forsythe (BF) test is considered. The residuals are divided to two parts with the rst part corresponding to x,- = 31 and the second part to w,- = 34. Compute the tBF statistic. Show your steps in order to receive full credit. c. Carry out the BF test using a = 0.05 as the level of signicance. Is your conclusion consistent with your observation in part a? d. Regardless of your test result in part c, propose a transformation that would stabilize the variance, that is, after the transformation, the two parts (see part b) of the transformed Y (corresponding to w = 21 and :3 = 34, respectively) spread about equally. Explain briey why you propose this transformation. e. Make a plot of the transformed data to show the effect of the transformation proposed in part d (again, the plot may be made by a computer, or draw by hand)