1. Suppose you wanted to conduct a regression analysis to determine whether or n
ID: 3315215 • Letter: 1
Question
1. Suppose you wanted to conduct a regression analysis to determine whether or not males and females (GENDER) differ in their attitudes toward legalization of marijuana (MARIJUAN). The GENDER variable is coded such that males-1 and females = 2. High scores on the MARIJUAN variable reflect more positive attitudes toward legalization. Parameter Estimates Variable DF Parameter Standard Intercept| | 2.47727 | 0.08871| 27.93 |0001 MaleDum| | | -0.0 1152 | 0.16383 | -0.07 | 0.9440 Estimate Error lt Valuel Pr>It! Write out the theorized regression formula, the estimated regression formula, and interpret the 2 coefficients in the model.Explanation / Answer
Solution:
We know general linear regression equation is,
y = a + bx
Where , y = Response variable
x = predictor
a = Intercept
b= coefficient of x
From given output:
a = 2.47727 , b = -0.01152
Hence estimated regression equation is,
y = 2.47727 – 0.01152*x
Interpretation:
Intercept = a = 2.47727 : If value of x = 0 then Value of y = 2.47727
Coefficient of x : b = -0.01152 : If value of x decreases by 1 unit then value of y increases by 0.01152
Unit and vice versa.
Done
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