Question

# 23. Suppose the classes for an organized set of data are as follows: please fill in...

23. Suppose the classes for an organized set of data are as follows: please fill in the A column and answer B and C.

 Class A. B. C. Mid-Point What is the value of class width? Into which class is the value 1.515 assigned? 0.235 – 0.875 0.875 – 1.515 1.515 – 2.155

 SUMMARY OUTPUT Regression Statistics Multiple R __________ R Square __________ Adjusted R Square 0.125 Standard Error __________ Observations __________ ANOVA df SS MS F Significance F Regression 1 0.828 __________ __________ 0.2308 Residual __________ 2.227 __________ Total 6 __________ Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 112.413 9.484 11.853 7.52722E-05 88.033 136.793 _____ __________ X -19.137 14.033 -1.364 0.231 -55.211 16.937 ___ __________
 What is the coefficient of determination? What is the coefficient of correlation? Interpret the coefficient of determination Interpret the coefficient of correlation

23)

Mid point = (Lower Limit + Upper limit)/2

Class Width = Upper Limit – Lower Limit = 0.875 – 0.235 = 0.64

24)

For ANOVA Table:

Df Residual = df Total – df Regression

MS Regression = SS Regression / df Regression

MS Residual = SS Residual / df Residual

F = MS Regression/ MS Residual

SS Total = SS Regression + SS Residual

Completed Tables:

For Regression Summary,

R Square = SS Regression / SS Total

Multiple R = - Sqrt(R Square)

Standard Error = Sqrt(MS Residual)

Observations = df Total + 1

Coefficient of determination is 0.271. It means than 27% of the variation in the dependent variable is explained by the independent variable.

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