Homework 16 Sections 11-1 to 11-3 (Least Squares Linear Regression) (56 Points) x Problem 1) The strength of paper used

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Homework 16 Sections 11 1 To 11 3 Least Squares Linear Regression 56 Points X Problem 1 The Strength Of Paper Used 1 (27.17 KiB) Viewed 45 times

Homework 16 Sections 11-1 to 11-3 (Least Squares Linear Regression) (56 Points) x Problem 1) The strength of paper used in the manufacture of cardboard boxes (y) is related to the percentage of hardwood concentration in the original pulp (x). Under controlled conditions, a pilot plant manufactures 15 samples, each from a different batch of pulp, and measures the tensile strength. The data are as shown. Uh Uh Uh. . Scatterplot • Correlation coefficient • Fitted Line • Residual Analysis у 101.4 117.4 117.1 106.2 131.9 146.9 146.8 133.9 111 123 125.1 145.2 134.3 144.5 143.7 146.9 1.5 1.5 1.5 2 2 2.2 2.4 2.5 XNNNNNNNN N 00 00 2.5 For each of the following use Excel or Minitab to perform the regression analysis. COPY AND PASTE CLIPS (using an app such as snipping tool) of the analysis. QUESTIONS: a) Using Excel or Minitab, construct and interpret the scatterplot (3 points) 2.8 2.8 3 3 3.2 3.3 اذا لا b) Using Excel or Minitab, calculate the correlation coefficient Interpretation. (4 points) The correlation coefficient is Interpretation is c) (2 points) Using Excel or Minitab, generate the regression equation. The equation of the fitted line is d) (points) If we wanted to predict the strength of paper for a 2.75% of hardwood concentration, it would be

Our adjusted Rvalue = e) 3 points) Using Excel or Minitab, determine the coefficient of determination (R-) =- That means that of the variation in can be explained by Interpret what that means for our model itself. (2 point) Residual Plot Interpretation. Using Excel or Minitab, construct the residual plots. Interpret each plot. (3 points each) f) Plot 1) Normal probability plot. Plot 2) Histogram h) Plot 3) Versus Fits. 1) Plot 4) Versus Order. 1) Overall concluding comments about model 2 points)