ou 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   1A.) Construct a scatte

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Chapter1: Starting With Matlab
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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

 

1A.) Construct a scatter plot of height (x) vs. weight (y)

 

1B.) Calculate the following (show your work for SScp):

SSx       SSy       SScp      ̄x          ̄y

 

1C.) Calculate the correlation coefficient (r)

 

 

2.) Use the information from problem 1. Perform a complete test of the hypothesis that the population correlation coefficient (ρ) 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.

 

3A.) Calculate b0 and b1.

 

3B.) 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 H0β1 = 0. Show all your calculations (including your residual calculations). Again, note that this should be a one sided test (why?).

 

4(b) Compare your t* from 4(a) with your t* 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”.

Answer Question 2 & 3

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