Question
Which of the following would be the LSRL for the given data? x 2 7 8...
Which of the following would be the LSRL for the given data?
| x | 2 | 7 | 8 | 11 | 17 | 16 |
| y | 23 | 28 | 29 | 40 | 28 | 42 |
a) ŷ = 23.53 + 0.8004 x
b) ŷ = 23.53 - 0.8004 x
c) ŷ = 0.8004 + 23.53 x
d) ŷ = 0.8004 - 23.53 x
e) None of the above
Homework Answers
Answer #1
Solution :
| X | Y | XY | X^2 | Y^2 |
| 2 | 23 | 46 | 4 | 529 |
| 7 | 28 | 196 | 49 | 784 |
| 8 | 29 | 232 | 64 | 841 |
| 11 | 40 | 440 | 121 | 1600 |
| 17 | 28 | 476 | 289 | 784 |
| 16 | 42 | 672 | 256 | 1764 |
| n | 6 |
| sum(XY) | 2062.00 |
| sum(X) | 61.00 |
| sum(Y) | 190.00 |
| sum(X^2) | 783.00 |
| sum(Y^2) | 6302.00 |
| Numerator | 782.00 |
| Denominator | 1293.30 |
| r | 0.6047 |
| r square | 0.3656 |
| Xbar(mean) | 10.1667 |
| Ybar(mean) | 31.6667 |
| SD(X) | 5.2095 |
| SD(Y) | 6.8961 |
| b | 0.8004 |
| a | 23.5292 |
The regression equation,
= a + bx
= 23.53 + 0.8004 x
Answer : Option A is correct
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