1. using output only? SSE = ? 2. using output only S = ? 3. Test if the x is sig

Question

1. using output only? SSE = ?

2. using output only S = ?

3.

Test if the x is significant to the prediction of y.

NOTE: you will present the five steps of hypothesis testing starting with null and ending with the conclusion.

The REG Procedure Model Dependent Variable: Y 12 Number of Observations Read Number of Observations Used Number of Observations with Missing Values6 6 Analysis of Variance Source DF Sum of Mean FValue Pr> F Model Error Corrected Total 5 5.57500 Squares Square 1 5.43214 5.43214 152.10 0.0002 4 0.14286 0.03571

Explanation / Answer

1. SSE = 0.14286 from Output

2. S = sqrt (MSE) = sqrt(0.03571) = 0.1889

Five Steps Procedure:

Step 1: H0: The X is significant to the prediction of Y

Step 2: H1: The X is no significant to the prediction of Y

Step 3: Leth los be alpha = 5%

Step 4:

Ybar = 24.3/6 = 4.05

MS Model = 5.4321 / 1 = 5.4321

MS Error = 0.14286/4 = 0.03571

F = 5.4321 / 0.03571 = 152.117

P - Value = 0.002 which is less than alpha 0.05, we reject H0

i.e. The X is no significant to the prediction of Y

Prodicted TSS ESS Model X Y Ycap (Y-Ybar)^2 (y-ycap)^2 (Ybar-Ycap)^2 1 5.6 5.442857 2.4025 0.02469388 1.94005102 2 4.6 4.885714 0.3025 0.08163265 0.698418367 3 4.5 4.328571 0.2025 0.02938776 0.077602041 4 3.7 3.771429 0.1225 0.00510204 0.077602041 5 3.2 3.214286 0.7225 0.00020408 0.698418367 6 2.7 2.657143 1.8225 0.00183673 1.94005102 Total: 24.3 5.575 0.14285714 5.432142857

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