MATH 225N Week 8 Assignment Coefficient of Determination, Exams of Mathematics

Download MATH 225N Week 8 Assignment Coefficient of Determination and more Exams Mathematics in PDF only on Docsity! MATH 225N Week 8 Assignment Coefficient of Determination Compute and interpret the coefficient of determination Question A medical experiment on tumor growth gives the following data table. The least squares regression line was found. Using technology, it was determined that the total sum 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: 0.966 Correct! You nailed it. R2=SSRSST R2=3789.03922.8 R2=0.966 Compute and interpret the coefficient of determination Question A scientific study on mesothelioma caused by asbestos gives the following data table. x y 57 38 61 50 63 76 68 97 72 113 Micrograms of asbestos inhaled Area of scar tissue (cm2) 58 162 62 189 63 188 Using technology, it was determined that the total sum of squares (SST) was 1421.2 and the sum of squares due to error (SSE) was 903.51. Calculate R2 and determine its meaning. Round your answer 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 estimated regression equation. R2=1−SSESST R2=1−903.511421.2 R2=1−0.6357 R2=0.3643 R2=36.43%. Compute and interpret the coefficient of determination Question A new mine opened and the number of dump truck loads of material removed was recorded. The table below shows the number of dump truck loads of material removed and the number of days since the mine opened. Days (since opening) # of dump truck loads 2 45 5 53 8 60 9 60 12 67 A least squares regression line was found. Using technology, it was determined that the total sum of squares (SST) was 278.0 and the sum of squares of regression (SSR) was 274.3. Use these values to calculate the coefficient of determination. Round your answer to three decimal places. 0.987. Yes that's right. Keep it up! 67 215 70 184 Micrograms of asbestos inhaled Area of scar tissue (cm2)