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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