Q. The below question is 3-in-1 question, where I am stuck. Please help me. Question 1, 2 and 3.

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1) You compare the height and weight of 5 adult women. You get the following results: height 60 67 62 70 66 weight 119 143 131 155 136 (a) Construct a scatter plot of height (x) vs. weight (y) (b) Calculate the following (show your work for SSW): SSX SSy 8.843;) 2 J7 (c) Calculate the correlation coefficient (r) 2) Use the information from problem 1. Perform a complete test of the hypothesis that the population correlation coefficient (p) is 0. Show all steps (note - obviously this should be a one sided test! Make sure you know why!) 3) Now let's assume you wanted to predict weights from heights. In other words, now let's use the same data from problem (1) and do a regression instead. (a) Calculate b0 and 131. (b) Carefully draw your least square regression line on the plot you made in 1(a). (Don't just \"sketch\