Make a scatterplot of the data. Describe what the data are telling you in the scatterplot. Are there any unusual points in the data set? Explain. Compute r and interpret it in a sentence. Compute r2 and interpret it in a sentence.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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  1. Make a scatterplot of the data. Describe what the data are telling you in the scatterplot. Are there any unusual points in the data set? Explain.
  2. Compute r and interpret it in a sentence.
  3. Compute r2 and interpret it in a sentence.
  4. Create a regression line that best fits the data. (Call this Model #1)
    1. What is the equation of this line?
    2. Interpret the slope of the line in a sentence, in context.
    3. Interpret the intercept of the line in a sentence, in context.
  5. In the data set, remove the data point that doesn’t seem to fit with the rest of the data. Give the coordinates of the point you removed: ( ______ , ________ ). Redo the calculations of r, r2, and the regression line. (Call this Model #2) Compare the statistics for the model with the point (Model #1) and without the point (Model #2): did any of the calculations change? Was the change small or significant? Explain how the removal of the one point affected the calculations.
  6. Now, suppose Michael Phelps, the great swimmer, decides to go back to school to be a nurse and he just so happens to take online statistics at PCC. Michael adds himself to the data set: he’s 6’4” tall and has a wingspan of 6’7”.
    1. Make a scatterplot of the data (leave out point from the last questions and add in Michael).
    2. Redo the calculations of r, r2, and the regression line. (Call this Model #3)
    3. Compare the statistics for Model #2 and Model #3: did any of the calculations change? Was the change small or significant? Explain how the addition of Michael Phelps to the class data affected the calculations.
  7. Do you think there is a relationship between students’ height and wingspan?
  8. Do you think athletes would follow the same relationship between height and wingspan as typical students? What athletes might follow this relationship? What athletes might not follow this relationship?
  9. Are there other variables that might affect a relationship between height and wingspan? How might those variables affect the relationship?
A
B
D
E
F
G
Height
Wingspan
69
65
64
63
67
66
wrong
63
57
0.7206166946
1.160201485
63
60
19.83808541
-12.18652957
66
65
70
68
height = y
65
64
wingspan = x
66
65
66
61
67
67
75
76
67
65
66
65
69
71
72
67
66
66
64
60
65
64
66
65
59
55
62
63
Transcribed Image Text:A B D E F G Height Wingspan 69 65 64 63 67 66 wrong 63 57 0.7206166946 1.160201485 63 60 19.83808541 -12.18652957 66 65 70 68 height = y 65 64 wingspan = x 66 65 66 61 67 67 75 76 67 65 66 65 69 71 72 67 66 66 64 60 65 64 66 65 59 55 62 63
63
A
D
66
67
71
67
79
82
65
65
68
68
68
66
64
64
65
63
75
73
70
66
72
71
73
76
B.
Transcribed Image Text:63 A D 66 67 71 67 79 82 65 65 68 68 68 66 64 64 65 63 75 73 70 66 72 71 73 76 B.
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