Question

2. The following table presents data collected on years of prior work experience (X) and hourly starting wages in $) for a group of employees at a company. 0 2 3 Y 10 13 14 16 15 14 6 15 14 15 Calculate the regression slope (b) and Y intercept (a) and write out the regression equation. Use 4 decimal places when computing your answer and 2 decimal places when reporting your final answer

Answer 1

Solution:

Y and X2 as it was done in the table below. Find X X Y X.X X Y 0 10 0 0 2 13 26 4 3 14 42 9 6 16 96 36 5 15 75 25 3 14 42 9 4 1 4 16 1 11 11 1 14 14 1 2 15 30 4 Find the sum of every column: Σx-2, ΣΥ= 18, Σχ.Y= 10, Σχε 16 Use the following equations to find a and b ΣΥ.ΣΧ-ΣΧ ΣΥ n.Σχ-(Σ Χ 123 105 27 340 11.636 a= 10 105 27 n.ΣΧΥ-ΣΧ ΣΥ 10 340 27-123 0.246 -Σχ-(Σ) 10 105 (27) Substitute a and bin regression equation formula y a b r 11.636 0.246