Question
Complete the following in regard to the footlength and height categories of the data set: A) In the region to the right, produce a scatterplot
Complete the following in regard to the footlength and height categories of the data set:
A) In the region to the right, produce a scatterplot of the height versus footlength data (remember this means footlength runs along the horizontal axis as the independent variable and height along the vertical axis as the dependent variable.) Based upon your scatterplot, briefly discuss below your thoughts on whether the "visual" trend between the individuals' footlength and height appears linear, curvilinear, or has no general trend at all.
B) PART 1)Include the trend line's graph and equation on the scatterplot created in part a. Give the line's equation below and explain within this context what the "x" and "y" variables represent in the equation.
PART 2) Below, explicitly state the slope of your trend line and discuss what the value of the slope signifies in terms of this context.
C) Determine the value of the correlation coefficient for this paired data. Explain what this value tells you and determine if it implies that there is/is not statistically significant correlation between the two variables of height and footlength. (Recall the need to use table A:6 from the text in answering the last portion of this question.)
D) Using the prediction equation from part bi. above, predict the height of an individual whose footlength is 23.5 cm.
E) Finally, critique the statement "since the correlation coefficient is statistically significant then this means that having a long foot causes one to be tall." Specifically, address the issue of "causation" in relation to significant statistical correlation.
Individual# | Gender | Foot Length (cm) | Height (cm) | Armspan (cm) | Age (years) | Number in Family | Hair Color |
1 | Male | 27 | 178 | 183 | 22 | 6 | Brown |
2 | Female | 19 | 153 | 157 | 27 | 4 | Black |
3 | Female | 20.5 | 157.5 | 150 | 21 | 3 | Brown |
4 | Female | 19 | 167.5 | 170.5 | 19 | 4 | Blonde |
5 | Female | 21 | 157 | 145 | 18 | 8 | Brown |
6 | Male | 28.5 | 184.5 | 186.5 | 26 | 2 | Brown |
7 | Female | 22 | 167.5 | 164.5 | 19 | 3 | Red |
8 | Female | 26 | 171.5 | 172.5 | 19 | 4 | Blonde |
9 | Female | 19.5 | 168 | 165.5 | 22 | 6 | Blonde |
10 | Male | 28 | 157 | 152.5 | 22 | 1 | Brown |
11 | Female | 25 | 175 | 177 | 43 | 4 | Brown |
12 | Male | 28 | 188 | 178 | 28 | 5 | Blonde |
13 | Female | 23.5 | 170 | 153.5 | 20 | 3 | Brown |
14 | Male | 26 | 181.5 | 173.5 | 28 | 3 | Blonde |
15 | Female | 24.5 | 162.5 | 165 | 24 | 3 | Blonde |
16 | Male | 31 | 185.5 | 183 | 31 | 5 | Brown |
17 | Female | 24.5 | 165 | 162.5 | 32 | 4 | Brown |
18 | Female | 25 | 160 | 160 | 20 | 5 | Brown |
19 | Female | 19 | 164.5 | 166 | 25 | 4 | Blonde |
20 | Female | 25 | 165 | 171 | 39 | 7 | Brown |
21 | Male | 29 | 183 | 184.5 | 37 | 4 | Brown |
22 | Female | 22.5 | 162.5 | 162 | 19 | 4 | Brown |
23 | Female | 28 | 175 | 166 | 33 | 3 | Brown |
24 | Female | 27 | 158 | 156 | 26 | 4 | Black |
25 | Female | 23 | 159 | 164.5 | 21 | 3 | Brown |
26 | Male | 28 | 178 | 180.5 | 24 | 5 | Brown |
27 | Female | 25 | 162.5 | 162 | 42 | 2 | Black |
28 | Male | 26.5 | 176 | 180.5 | 23 | 4 | Blonde |
29 | Female | 24 | 167.5 | 165 | 33 | 4 | Blonde |
30 | Female | 23.5 | 162.5 | 160 | 37 | 6 | Brown |
31 | Male | 26.5 | 170 | 171 | 23 | 5 | Brown |
32 | Female | 24.5 | 161 | 160 | 29 | 3 | Brown |
33 | Female | 29 | 163 | 158 | 29 | 4 | Brown |
35 | Male | 28 | 180 | 182 | 30 | 2 | Black |
36 | Female | 25 | 161.5 | 165 | 36 | 5 | Brown |
37 | Female | 24.5 | 165 | 165 | 45 | 3 | Black |
38 | Female | 29.5 | 170 | 175 | 21 | 8 | Blonde |
39 | Female | 24 | 162 | 160 | 32 | 4 | Brown |
40 | Female | 23.5 | 160 | 167.5 | 44 | 4 | Blonde |
41 | Male | 27.5 | 186.5 | 183.5 | 24 | 3 | Blonde |
42 | Male | 25.5 | 177.5 | 166 | 38 | 3 | Blonde |
43 | Male | 26.5 | 165 | 162 | 54 | 6 | Brown |
44 | Female | 26 | 164 | 164 | 30 | 3 | Brown |
45 | Female | 28 | 182.9 | 182 | 19 | 3 | Brown |
46 | Female | 22 | 173 | 164 | 43 | 4 | Red |
47 | Female | 27 | 172 | 171.5 | 31 | 3 | Blonde |
48 | Female | 22.9 | 160 | 168.5 | 29 | 3 | Black |
49 | Female | 23.5 | 171 | 167.5 | 41 | 2 | Brown |
50 | Female | 24.5 | 167.5 | 170 | 18 | 4 | Black |
51 | Male | 26.5 | 185.5 | 181.5 | 57 | 4 | Blonde |
52 | Female | 24.5 | 170 | 170 | 21 | 4 | Blonde |
53 | Female | 23.5 | 173 | 175 | 31 | 5 | Brown |
54 | Female | 23 | 175.5 | 155 | 36 | 5 | Brown |
55 | Female | 23 | 152.5 | 158.5 | 37 | 5 | Brown |
56 | Male | 29 | 188 | 179 | 22 | 4 | Brown |
57 | Female | 23.5 | 167.5 | 167.5 | 32 | 5 | Brown |
58 | Female | 24 | 157.5 | 172 | 34 | 2 | Brown |
59 | Female | 20.5 | 157.5 | 147.5 | 24 | 3 | Brown |
60 | Female | 24 | 170 | 170 | 27 | 6 | Brown |
61 | Female | 23 | 167.5 | 162.5 | 25 | 4 | Brown |
62 | Male | 27 | 182.5 | 192 | 29 | 3 | Brown |
63 | Female | 24 | 160 | 160 | 22 | 5 | Blonde |
64 | Male | 24 | 171.5 | 171 | 20 | 2 | Blonde |
65 | Male | 23 | 147 | 167.5 | 22 | 3 | Brown |
66 | Female | 25 | 163 | 173 | 54 | 4 | Brown |
67 | Male | 25 | 178 | 177 | 25 | 3 | Brown |
68 | Male | 27 | 185 | 181 | 31 | 3 | Brown |
69 | Female | 23.5 | 157.5 | 145.5 | 21 | 5 | Blonde |
70 | Female | 23 | 157.5 | 158.75 | 32 | 4 | Brown |
71 | Female | 25 | 165 | 165 | 36 | 6 | Brown |
72 | Male | 25 | 178 | 186 | 55 | 2 | Blonde |
73 | Female | 21.5 | 160 | 158.5 | 43 | 8 | Brown |
74 | Female | 22 | 175.5 | 173 | 41 | 6 | Brown |
75 | Female | 26 | 176 | 173 | 50 | 3 | Brown |
76 | Female | 25.5 | 167.5 | 170 | 28 | 2 | Blonde |
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started