MATH 225N Week 8 Assignment Coefficient of Determination

Compute and interpret the coefficient of determinationQuestionA medical experiment on tumor growth gives the following data 113The least squares regression line was found. Using technology, it was determined that the totalsum of squares (SST) was 3922.8 and the sum of squares of regression (SSR) was 3789.0.Calculate R2, rounded to three decimal places.CORRECT ANSWER:0.966Correct! You nailed it.R2=SSRSSTR2=3789.03922.8R2=0.966Compute and interpret the coefficient of determinationQuestionA scientific study on mesothelioma caused by asbestos gives the following data table.Micrograms of asbestosArea of scarinhaledtissue (cm)Using technology, it was determined that the total sum of squares(SST)was1421.2and the sumof squaresdue to error(SSE)was903.51. CalculateR2and determine its meaning. Round youranswer to four decimal places. Correct answer:R2=0.3643.Great work! That's correct.Therefore, 36.43% of the variation in the observed y-values can be explained by the estimatedregression equation.R2=1−SSESSTR2=1−903..2R2=1−0.6357R2=0.3643R2=36.43%.Compute and interpret the coefficient of determination