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 (v) (b) Calculate the following (show your work for SS.p): SS. S, SS.p (c) Calculate the correlation coefficient (r)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Do NOT use R for problems 1-4:
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 (v)
(b) Calculate the following (show your work for SS.p):
SS.
S,
SSep
(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 bo and b.
(b) Carefully draw your least square regression line on the plot you made in 1(a). (Don't just "sketch",
be a little careful).
4) (a) Now do a significance test of Ho: B1 = 0. Show all your calculations (including your residual
calculations). Again, note that this should be a one sided test (why?).
(b) Compare your t from 4(a) with your f from problem 2. Are they the same? This is not a coincidence,
although once you do more complicated analyses, you can't rely on this "equivalence".
Transcribed Image Text:Do NOT use R for problems 1-4: 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 (v) (b) Calculate the following (show your work for SS.p): SS. S, SSep (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 bo and b. (b) Carefully draw your least square regression line on the plot you made in 1(a). (Don't just "sketch", be a little careful). 4) (a) Now do a significance test of Ho: B1 = 0. Show all your calculations (including your residual calculations). Again, note that this should be a one sided test (why?). (b) Compare your t from 4(a) with your f from problem 2. Are they the same? This is not a coincidence, although once you do more complicated analyses, you can't rely on this "equivalence".
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