In: Statistics and Probability
|
Person |
Height |
Weight |
|
1 |
60 |
114 |
|
2 |
60 |
60 |
|
3 |
61 |
200 |
|
4 |
62 |
240 |
|
5 |
63 |
133 |
|
6 |
63 |
220 |
|
7 |
64 |
104 |
|
8 |
65 |
135 |
|
9 |
65 |
120 |
|
10 |
65 |
123 |
|
11 |
66 |
113 |
|
12 |
66 |
205 |
|
13 |
66 |
54 |
|
14 |
67 |
170 |
|
15 |
67 |
186 |
|
16 |
67 |
198 |
|
17 |
67 |
132 |
|
18 |
68 |
142 |
|
19 |
69 |
150 |
|
20 |
69 |
188 |
|
21 |
70 |
199 |
|
22 |
70 |
201 |
|
23 |
70 |
106 |
|
24 |
71 |
112 |
|
25 |
71 |
115 |
|
26 |
72 |
117 |
|
27 |
72 |
78 |
|
28 |
73 |
95 |
|
29 |
73 |
109 |
|
30 |
73 |
110 |
|
Mean |
67.17 |
140.97 |
|
Standard Deviation |
3.90 |
48.54 |
|
Correlation |
-0.195 |
Step 2: Build Linear Model
help me find:
Find Slope:
find y-intercept:
Given that, mean of height
=
67.17
mean of weight
=
140.97
standard deviation of height (Sx) = 3.90
standard deviation of weight (Sy) = 48.54
correlation coefficient of r = -0.195
We want to find, the slope (b1) and y-intercept (b0)

And

Therefore, we get,
Slope = -2.427
y-intercept = 303.9916
Note : Using Excel we get,
slope = -2.4351 and intercept = 304.5217
