You are curious to understand if a woman's height (cm) can be used as a predictor of her shoe size [in CanadanS scale, that is usually measured as 4 to 16]. You are limited to collect?r sets of data (shoe size ys height} from 7 women. a. Collect the information and record them in the table below [please use a typed tablefnumbers as we need to copylpaste your numbers into Excel for checking your solution and marking]. Mention howr you ensured that your data set is random and unbiased. b. Using the collected information, conduct a simple linear regression analysis and find the regression line. c. Estimate the coefficient of determination of the regression and explain what it indicates. d. Conduct an ANOVA diagnostics for the regression and explain what it indicates. Does it approve the finding of part c? e. If a woman's height is 160 cm, what is the 95% confidence interval for her shoe size