1) You compare the height (cm) and weight (kg) of 5 adult women. You get the following results: height 152.4 170.2 157.5 177.8 167.6 weight 54.0 64.9 59.4 70.3 61.7 (a) Construct a scatter plot of height (x) vs. weight (y) (b) Calculate the following (show your work for SSp): SS. SS, SS.p (c) Calculate the correlation coefficient (r)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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1) You compare the height (cm) and weight (kg) of 5 adult women. You get the following results:
height
152.4
170,2
157.5
177.8
167.6
weight
54.0
64.9
59.4
70.3
61.7
(a) Construct a scatter plot of height (x) vs. weight (y)
(b) Calculate the following (show your work for SSep):
S,
SS,
y
(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).
Transcribed Image Text:1) You compare the height (cm) and weight (kg) of 5 adult women. You get the following results: height 152.4 170,2 157.5 177.8 167.6 weight 54.0 64.9 59.4 70.3 61.7 (a) Construct a scatter plot of height (x) vs. weight (y) (b) Calculate the following (show your work for SSep): S, SS, y (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).
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