Model #2: The Full Model ANOVA Model Sum of df Mean Square F Sig. Squares Regression 285.579543 4 71.3948857 60.27 0.000 Residual 4002.84569 3,379 1.18462435 Total 4288.42524 3,383 1.26763974 Coefficients Model B Std. Error t Sig. (Constant) 1.461553 .1142188 12.80 0.000 Education .0811418 0066831 12.14 0.000 Income 0331576 .0083198 3.99 0.000 White -.0935281 .0468423 -2.00 0.046 Citizen .7209017 .1248762 5.77 0.000 1. Write out the regression equation based on the values in the output. Please round your coefficients to 3 decimal places. y=1.462 +.081,+.033 x2-.094x,+.721X, 2. Interpret the intercept (i.e., Constant). The intercept is the expected value of the response variable when all predictors equal zero. In this case, the expected value of agreement with the statement "immigrants take away jobs" is 1.462 when the predictors are 0. This indicates moderate agreement with the statement, which is on a scale of strongly agree (1) to strongly disagree (5) . 3. Interpret the coefficient for Income. Is this a positive or negative relationship? The scale increases by 0.033 for every unit increase in income. In other words, people disagree more with the statement that "immigrants take away jobs" with each additional income unit earned. This is a positive relationship. 3. Interpret the coefficient for White. Is this a positive or negative relationship? The scale decreases by 0.094 when White=1. In other words, white respondents disagree .094 points less than non-white respondents with the statement. This is a negative relationship. 4. What is the predicted level of agreement with the statement that "immigrants take away jobs" for a white citizen with 16 years of education who makes $20-24,000? Check codebook above - value for this income group is 11. Please round your answer to 3 decimal places. y=1.462 +.081(16)+.033(11) -.094(1) +.721(1) y=1.462 +.1.296+.363 -.094 +.721 y=3.748 The predicted level of agreement with "immigrants take away jobs" for a white citizen with 16 years of education who makes $20-24,000 is 3.748. This indicates a moderate level of disagreement, which is on a scale of strongly agree (1) to strongly disagree (5) . 5. What is the predicted level of agreement with the statement that "immigrants take away jobs" for a non-white non-citizen with 10 years of education who makes $7,000-7,999? Check codebook above - value for this income group is 7. y=1.462 +.081(10)+.033(7) -.094(0) +.721(0) y=1.462+.81+.231 y=2.503 The predicted level of agreement with "immigrants take away jobs" for a non-white non-citizen with 10 years of education who makes $7,000-7,999 is 2.503. This indicates a slight level of disagreement, which is on a scale of strongly agree (1) to strongly disagree
