Refer to the multivariate regression reported in the SPSS output below. The depe
ID: 2922519 • Letter: R
Question
Refer to the multivariate regression reported in the SPSS output
below. The dependent variable is: “percent of state population that voted for the Democratic candidate in the 1984 House election.”
Identify the regression equation.
How much variation in the dependent variable is explained by the independent variables?
Interpret the regression coefficient for the variable “poorpct” (the percentage of people below poverty line).
Interpret the regression coefficient for the variable “educ12” (the percentage of the public with over 12 years of education).
Which variables are statistically significant at the 95% confidence level?
Model Summary AdjustedStd. Error of Model 6988 487 430 10.366 a. Predictors: (Constant), union % UNION OF EMPLOYEC 1982, marrypc MARRIAGES PER 1,000 POP, 1984 educ12 PERCENT W 12+ YEARS EDUCATION 1980, incomepc MONEY INCOME PER CAPITA 1985, poorpc % PERSONS BELOW POVERTY LEVEL 1979Explanation / Answer
Answer:
The dependent variable is: “percent of state population that voted for the Democratic candidate in the 1984 House election.”
Identify the regression equation.
Y=% voted for the Democratic
X1=%below poverty level
X2=income
X3=education
X4=marriages per 1000
X5=%union of employed
The estimated regression line is
Y= 9.455+2.220* x1+0.003*x2-0.492*x3+0.033*x4+0.758*x5
How much variation in the dependent variable is explained by the independent variables?
Variation explained =0.487 or 48.7%.
Interpret the regression coefficient for the variable “poorpct” (the percentage of people below poverty line).
When 1% increase in people below poverty line, there is an increase of 2.22% in % voted for the Democratic.
Interpret the regression coefficient for the variable “educ12” (the percentage of the public with over 12 years of education).
When 1% increase in people with 12+ years education, there is an decrease of 0.492% in % voted for the Democratic.
Which variables are statistically significant at the 95% confidence level?
X1=%below poverty level ( p value=0.001)
X2=income( p value=0.008)
X5=%union of employed ( p value=0.001)
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