Compute SSE, SST, and SSR using both set of formula given in the class (They are

Question

Compute SSE, SST, and SSR using both set of formula given in the class (They are called Definitional and Computing formula) e. f. Compute the coefficient of deter (The same as R2). Comment on the goodness of fit (That is, what does the value of r tell you about the goodness of the fit). Explain why g. Compute the sample correlation coefficient i. Calculate F Statistics and Determine if it is Significant Problem 1. Data Determine if the slope is significant at Alpha = 0.05 2 34 7511 14 Problem 2. Data 12 6 6 1 17 1 4

Explanation / Answer

data1:
MTB > Name K1 "MSE1"
MTB > Regress 'Y1' 1 'X1';
SUBC> MSE 'MSE1';
SUBC> Constant;
SUBC> Brief 2.

Regression Analysis: Y1 versus X1

The regression equation is
Y1 = 0.400 + 0.325 X1

Predictor Coef SE Coef T P
Constant 0.4000 0.7188 0.56 0.617
X1 0.32500 0.08036 4.04 0.027

S = 0.718795 R-Sq = 84.5% R-Sq(adj) = 79.3%

Analysis of Variance

Source DF SS MS F P
Regression 1 8.4500 8.4500 16.35 0.027
Residual Error 3 1.5500 0.5167
Total 4 10.0000

P=0.027 is less than 0.05 alpha l.o.s .so that insignificant.

data2:

MTB > Name K2 "MSE2"
MTB > Regress 'Y2' 1 'X2';
SUBC> MSE 'MSE2';
SUBC> Constant;
SUBC> Brief 2.

Regression Analysis: Y2 versus X2

The regression equation is
Y2 = 0.93 + 2.11 X2

Predictor Coef SE Coef T P
Constant 0.933 4.192 0.22 0.835
X2 2.114 1.076 1.96 0.121

S = 4.50291 R-Sq = 49.1% R-Sq(adj) = 36.4%

Analysis of Variance

Source DF SS MS F P
Regression 1 78.23 78.23 3.86 0.121
Residual Error 4 81.10 20.28
Total 5 159.33

P=0.027 is not less than 0.05 alpha l.o.s .so that significant.

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