Question
The following table lists the ages for a sample of couples on a vacation cruise. x:...
The following table lists the ages for a sample of couples on a vacation cruise.
x: 45, 54 45, 55, 59, 49
y: 51, 49, 46, 64, 69, 55
The least-squares regression line is in the form y = b_0 +_ b_1 x. Compute the value of b_1. That is, compute the slope. Write only a number as your answer.
Homework Answers
Answer #1
| X | Y | X * Y | X2 | Y2 | |
| 45 | 51 | 2295 | 2025 | 2601 | |
| 54 | 49 | 2646 | 2916 | 2401 | |
| 45 | 46 | 2070 | 2025 | 2116 | |
| 55 | 64 | 3520 | 3025 | 4096 | |
| 59 | 69 | 4071 | 3481 | 4761 | |
| 49 | 55 | 2695 | 2401 | 3025 | |
| Total | 307 | 334 | 17297 | 15873 | 19000 |
Equation of regression line is Ŷ = a + bX
b = 1.258 
1
a =( Σ Y - ( b * Σ X) ) / n
a =( 334 - ( 1.2578 * 307 ) ) / 6
a = -8.693 - 9
Equation of regression line becomes Ŷ = -8.6926 + 1.2578
X
Slope = 1.2578 1
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