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