a) Provide as fully as you can, a written interpretation of the SPSS output. b)

Question

a) Provide as fully as you can, a written interpretation of the SPSS output.   


b) Write the regression equation, based on the parameters given, and draw an appropriate graph of the relationship – on the sheet provided.

Model Summary Std. Error of Adjusted R R Square the Estimate Square Model .502 708 452 4.32934 a. Predictors: (Constant, Metatarsus adductus angle ANOVA Sum of Squares Mean Square Model Regression 188.568 188,568 10,061 Residual 187.432 18.743 Total 376.000 a. Dependent Variable: Hallux abducto valgus angle b. Predictors: (Constant, Metatarsus adductus angle Coefficients Unstandardized Standardized Coefficients Coefficients 4,285 .002 (Constant) 17.032 3,975 Metatarsus adductus .624 .197 .708 3.172 .010 angle a. Dependent Variable: Hallux abducto valgus angle 95.0% Confidence Interval for B Upper Lower Bound Bound 8.176 25.889 1.063

Explanation / Answer

SolutionA:

From regression output table A

r=0.708

there exists a strong positive relationship between  
HAV angle and MA angle

r sq=0.502

R-squared is a statistical measure of how close the data are to the fitted regression line. It is also known as the coefficient of determination, or the coefficient of multiple determination for multiple regression

50.2% variation in HAV angle is explained by model

From ANova table

F=10.061

p=0.010

p<0.05

model is signifcant.

If the P value for the F-test of overall significance test is less than your significance level, you can reject the null-hypothesis and conclude that your model provides a better fit than the intercept-only model.

there is a relationship between HAV angle and MA angle

Regression model predicts the HAV angle better than the mean of the HAV angle

SolutionB:

Regression Eq is

HAV angle=17.032+0.624 MA Angle

slope=0.624

y intercept=17.032

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