1. A sociologist examines the relationship between the poverty rate and several
ID: 3054581 • Letter: 1
Question
1. A sociologist examines the relationship between the poverty rate and several socioeconomic factors. For the 50 states and the District of Columbia (n -51), he collects data on the poverty rate (Y, in %), the percent of the population with at least a high school education (%), median income (X2, in $1000s), and the mortality rate per 1,000 residents (X3). He estimates the following model as Y-Po + ?? Education + ?2 Income + ?3 Mortality + ? The following ANOVA table shows a portion of the regression results df MS Regression Residual Total 417.3139.1 94.6 47 50 69.1 486.4 Coefficients Standard Error statp-value 60.3 -0.43 -0.20 0.08 4.8 12.47 ntercept Education Income Mortality 1.65E-16 0.05-7.785.45E-10 7.75 6.02E-10 0.6438 0.03-7 0.17 0.47 Which of the following is the value of the mean square error, (MSE)? b. 1.5 c. 3.0 d. 4.5Explanation / Answer
Value of mean square error (MSE)
= SSE / Df
= 69.1 / 47
= 1.47
= 1.5
Option B is correct.
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