Question

Given are five observations for two variables, and y. 1 2 3 5 Yi 3 7 5 11 14 The estimated regression equation for these data is ý = 0.2 +2.6z. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = Sy.- SST = = (y - SSR = = (y - SSE SST SSR b. Compute the coefficient of determination (to 3 decimals). Does this least squares line provide a good fit? Yes, the least squares line provides a very good fit c. Compute the sample correlation coefficient (to 4 decimals).

Answer 1

1 Minitab - Untitled File Edit Data Calc Stat Graph Editor Tools Window Help Assistant BE Worksheet 1 *** Session + C1 C2 C3 5 Regression Analysis: y versus x х y 1 1 3 Analysis of Variance 2 2 7 DE 3 3 5 Source Regression 1 1 F-Value 16.35 16.35 P-Value 0.027 0.027 4 4 Adj SS Adj MS 67.60 67.600 67.60 67.600 12.40 4.133 80.00 11 X 3 5 5 14 Error Total 4 6 Model Summary 7 8 S 2.03306 R-sq R-34 (adj) 84.50% 79.33% R-sq (pred) 70.178 9 10 Coefficients 11 12 Term Constant VIF Coef 0.20 2.600 SE Coef 2.13 0.643 1.Value 10.09 4.04 P-Value 0.931 0.027 13 1.00 14 Regression Equation 15 Y = 0.20 + 2.600 X 16 17 Correlation: x, y 18 19 Pearson correlation of x and y = 0.919 P-value = 0.627 20 21 LHC2222 Current Worksheet: Worksheet 1 STERI O Type here to search 0

SSE = 12.40

SST = 80.0

SSR = 67.60

b.

Coefficient of determination = 0.793

c.

Correlation coefficient = 0.919

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