ODS262 Final Exam (Fall 2016): Take-Home Part I Due on December 7th before class. During the fall harvest season in the United States, pumpkins are sold in large quantities at farm stands. Often, instead of weighing the pumpkins prior to sale, the farm stand operator will just place the pumpkin in the appropriate circular cutout on the counter. When asked why this was done, one farmer replied, "I can tell the weight of the pumpkin from its circumference." To determine whether this was really true, a sample of 23 pumpkins were measured for circumference and weighted; the results are stored in Pumpkin. Circumference Weight 50 1200 55 2000 54 1500 52 1700 37 500 52 1000 53 1500 47 1400 51 1500 63 2500 33 500 43 1000 57 2000 66 2500 82 4600 83 4600 70 3100 34 600 51 1500 50 1500 49 1600 60 2300 59 2100 Please perform appropriate analyses to answer the following questions. a. Assuming a linear relationship, use the least-squares method to compute the regression coefficients b0 and b 1 . b. Interpret the meaning of the slope, b1. in this problem . c. Predict the weight for a pumpkin that is 60 centimeters in circumference. d. Do you think it is a good idea for the farmer to sell pumpkins by circumference instead of weight? Explain. e. Determine the coefficient of determination, R2, and interpret its meaning. f. Perform a residual analysis for these data and evaluate the regression assumptions. g. At the 0.05 level of significance, is there evidence of a linear relationship between the circumference and weight of a pumpkin? h. Construct a 95% confidence interval estimate of the population slope,1