Ch 7 correlation & regression (interval data) lab outputExercise 4:Hypotheses: “In comparing states [unite of analyses], public opinion on abortions (indep varb X) affects state policy (dep varb Y).

Model Summary

Model R

Not this one!!

R SquareAdjusted R

SquareStd. Error of the Estimate

1 .576(a) .332 .314 2.138

Interpreting R square .314: “about 31% of the variation in state policy (dep varb or Y), is explained by public opinion on abortions (indep varb or X).

Coefficients(a)

Model Unstandardized

CoefficientsStandardized Coefficients t Sig.

BStd. Error Beta

1 (Constant) ---------- 9.848 1.073 9.176 P-value .001 Percent public "Always

allow" abortionReression Co

-.132.030 -.576 -4.342 .000

The regression equation for estimating the number of abortion restrictions in a state: Y = a + b(x) (Y) is the number of abortions in a state. A is the y intercept -- the Constant 9.85. B is the Regerison Co says “a 1% point increase in y (Dep varb) ____ is associated with a -.132 point increase in x ______ (indep varb). X plug in value. Y = a + b(x) Y = 9.85 + -.132 (44 – “44% of Colorado residents that believe that abortion should always be allowed.” Y = 9.85 + -5.81 Y = 4.042 -- roundY = 4“Based on the regression equation you would estimate that Colorado would have about 4 abortion restrictions.”

The p-value = .001, its less than p<.05, thus reject the null ho and accept the HA. that..When comparing states, public opinion on abortions (indep varb) affects state policy (dep varb).