## 15. Use the given information to find the coefficient of determination. A regression equation is obtained for a collection of paired data. It is...

15. Use the given information to find the coefficient of determination. A regression equation is obtained for a collection of paired data. It is found that the total variation is 130.3, the explained variation is 79.3, and the unexplained variation is 51. Find the coefficient of determination. (Points : 4) 0.391 1.643 0.609 0.643 16. Use the computer display to answer the question. A collection of paired data consists of the rumher of years that studﬂttshave studied Spanish and their scores ona Spanidt language proficiency: test. A. computer program Isa s used to obtain the least squares linear regression line and the computer output is sl‘lotm below. Along with the paired sample data, the programt'ms also givenan 3-: value of 2 [years of study] to he used forpredicting test score. The regressionequaﬁon is Score = 315.5 + 10.91} "fears. Predictor Coef StDev T P Constant 31.55 6.360 41.96 1101]} 1fears 11191} 13314 6.25 Dill-EH} 5: 5.651 R—Sq= 83.0%-J: R—Sq [Adj] = 8235-5: Predicted values 33 StDevPit SEE-am sate-3131 33.33 3.133 .1232, 33.33] [31.31.3309] 1What percentage of the total variation in test scores is Lmecpla‘ined by the linear relationship bei'n—‘een vears of studvand test scores? . - . (Points : 4) 17.0% 8.9% 83.0% 82.7%
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