Answer Happy

In a study of feeding behavior, zoologists recorded the number of grunts of a zebra feeding by a lake in the 15 minute period following the addition of food. The data showing the number of grunts and the age of the zebra (in days) are listed below. Number of Grunts, y Age (days), 31 62 12 8.1 9.2 11 7.9 10.5 77 89 98 101 112 117 Solve the following question manually, show detailed calculations: a) Estimate the slope parameter, B, of the simple linear regression model. Show your calculations. (8 points) b) Estimate the intercept. B, of the simple linear regression model. Write the estimated regression line. (10 points) c) Calculate SSR, SS, 55 (6 points) d) Estimate the variance (calculate 6). Show detailed calculations. (4 points) e) Find the standard error of the slope and the intercept coefficients. (6 points) f) Use t-test to test for significance of the intercept (Bo) at a = 0.05. State your conclusion. (8 points) a 9) Use t-test to test for significance of the slope coefficient (8.) at a = 0.05. State your conclusion. (8 points) h) Construct the ANOVA table and test for significance of regression model using Fe and critical valve approach, at a = 0.05. Show detailed calculation. State your conclusion. (12 points) i) Calculate the coefficient of determination, R. Comment on your value. (4 points) Use Minitab to answer the following questions: j) Write detailed steps of doing simple regression analysis in Minitab. (4 points) k) Run the regression in Minitab and copy your output. (Select expanded table. Don't write the output. Copy and paste in your file). (8 points) 1) Copy the scatter diagram of y versus z. Does a simple linear regression model seem reasonable in this situation? (4 points) m) Use p-value (from Minitab output) to test for significance of the intercept and slope coefficients at a = 0.05. State your decisions. (6 points) 1E330 Probability and Statistics in Engineering II Page 2 1) Write the confidence intervals on the intercept and the slope from Minitab output and interpret. (6 points) .) Use Minitab to find the fitted value for the first observation given in the data table. Copy your output. What is the fitted value? What are 95% prediction and confidence intervals? (6 points)