The following data were obtained from a sample of 12 respondents. Approximately what percent of the variation in respondents' highest grade of schooling completed does fathers' highest grade of schooling explain?
Highest Grade of School Completed (Respondent)Highest Grade of School Completed (Father)Highest Grade of School Completed (Mother)1212121410121414121088141212161212151051266161620141313151412141414 Mean13.8311.7511.50St. Dev.1.752.903.90Variance3.068.0215.18
What will be an ideal response?
About 41% of the variation is explained (r2 = 0.41). This quantity is termed the coefficient of determination.
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