In: Statistics and Probability
|
X |
1 |
3 |
5 |
3 |
4 |
4 |
|
Y |
2 |
5 |
4 |
3 |
4 |
6 |
A: Plot the date
B: find the line of best fit
C: determine ŷ AT x=3
D: Find r and r^2
E: explain r and r^2
Solutions:-
Data table:
| X | 1 | 3 | 5 | 3 | 4 | 4 |
| Y | 2 | 5 | 4 | 3 | 4 | 6 |

In regression equation put x = 3
Y = 1.857 + 0.643*3
Y = 3.786

r = 0.6211
So,
r^2 = 0.385765521
r^2 ~= 0.3858
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