In: Statistics and Probability
Researchers were interested in whether there was a linear relationship between a person's armspan (x) and a person's height (y). The data is shown below.
| Armspan | _Height_ | |
| 66 | 70 | |
| 61.75 | 60 | |
| 66 | 66 | |
| 70 | 70 | |
| 66 | 67 | |
| 69 | 67 | |
| 62 | 64 | |
| 61 | 60 | |
| Sums: | 521.75 | 524 |
a) Find the least squares line between armspan (x) and height (y) based on the data.
??? =
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b =
a =
?̂ = ___ + ___ x
b) Interpret the meaning of the estimate of the slope ?.
Armspan/height increases/decreases by ______ for every unit increase in armspan/height