Let's say that we are interested in the relationship between shoe size and height. Let's say we have the following data. What is the regression equation between these two variables? X (Shoe Size in inches): 13 12.5 11 11.5 12 11 13 14 13 9 8 Y (Height in inches): 68 69 70 67.4 69 73 74 71 70.5 64 67.
Answers:
y = -.89931x - 58.88982 |
|
y = .89931x + 58.88982 |
|
y = 58.88982x +.89931 |
|
y = .89931x - 58.88982 |
Providing your own answer what is the slope value to the previous question?
X | Y | XY | X^2 | Y^2 |
13 | 68 | 884 | 169 | 4624 |
12.5 | 69 | 862.5 | 156.25 | 4761 |
11 | 70 | 770 | 121 | 4900 |
11.5 | 67.4 | 775.1 | 132.25 | 4542.76 |
12 | 69 | 828 | 144 | 4761 |
11 | 73 | 803 | 121 | 5329 |
13 | 74 | 962 | 169 | 5476 |
14 | 71 | 994 | 196 | 5041 |
13 | 70.5 | 916.5 | 169 | 4970.25 |
9 | 64 | 576 | 81 | 4096 |
8 | 67 | 536 | 64 | 4489 |
n | 11 |
sum(XY) | 8907.10 |
sum(X) | 128.00 |
sum(Y) | 762.90 |
sum(X^2) | 1522.50 |
sum(Y^2) | 52990.01 |
b | 0.8993 |
a | 58.88982 |
ycap = 0.89931x + 58.88982
slope = 0.89931
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