Depth Time Type 5 4.90 dry 10 5.07 dry 15 6.77 dry 20 6.65 dry 25 6.99 dry 30 7.41 dry 35 6.07 dry 40 7.04 dry 45 5.49 dry 50 6.03 dry 55 6.19 dry 60 6.43 dry 65 6.27 dry 70 6.03 dry 75 6.34 dry 80 5.57 dry 85 5.70 dry 90 6.23 dry 95 6.60 dry 100 5.84 dry 105 5.17 dry 110 6.03 dry 115 6.84 dry 120 6.58 dry 125 7.03 dry 130 6.89 dry 135 7.27 dry 140 6.92 dry 145 7.15 dry 150 7.25 dry 155 7.05 dry 160 6.95 dry 165 6.76 dry 170 5.97 dry 175 7.75 dry 180 7.11 dry 185 7.07 dry 190 7.17 dry 195 6.91 dry 200 6.15 dry 205 6.19 dry 210 6.29 dry 215 5.58 dry 220 7.22 dry 225 7.62 dry 230 8.28 dry 235 7.59 dry 240 6.42 dry 245 7.12 dry 250 6.62 dry 5 8.61 wet 10 7.71 wet 15 7.02 wet 20 8.30 wet 25 9.07 wet 30 9.75 wet 35 8.47 wet 40 7.50 wet 45 8.04 wet 50 7.27 wet 55 7.85 wet 60 8.61 wet 65 8.91 wet 70 8.89 wet 75 8.30 wet 80 8.96 wet 85 8.89 wet 90 9.03 wet 95 8.53 wet 100 8.60 wet 105 8.02 wet 110 7.06 wet 115 7.84 wet 120 7.80 wet 125 7.88 wet 130 8.29 wet 135 9.02 wet 140 9.24 wet 145 9.02 wet 150 8.71 wet 155 8.41 wet 160 9.01 wet 165 6.71 wet 170 8.75 wet 175 9.15 wet 180 8.56 wet 185 7.94 wet 190 8.27 wet 195 9.38 wet 200 10.47 wet 205 10.19 wet 210 8.95 wet 215 9.02 wet 220 10.06 wet 225 10.96 wet 230 8.69 wet 235 9.01 wet 240 10.00 wet 245 11.25 wet 250 7.86 wet

j. Compute the coefficients of partial determination and interpret their meaning. is the proportion of the variation in that is explained by holding constant. The coefficient of partial determination r41.2; (Round to three decimal places as needed.) The coefficient of partial determination r 24, (Round to three decimal places as needed.) is the proportion of the variation in that is explained by holding constant. k. What assumption do you need to make about the slope of additional drilling time with depth? O A. The slope follows a t-distribution. B. The slope follows a normal distribution. C. The slope is higher for dry drilling holes than wet drilling holes. D. The slope is the same regardless of whether it is a dry drilling hole or a wet drilling hole. I. Add an interaction term to the model and, at the 0.05 level of significance, determine whether it makes a significant contribution to the model. State the multiple regression equation that predicts the time in minutes), based on the depth (in feet), Xy, the type (wet or dry), X2, and the interaction term, X3 = Xq XX2. * = + ( x + ( x + x3 (Round to three decimal places as needed.) Test the interaction term. Determine the null and alternative hypotheses. 0 Ho: B3 Hy: B3 0 Determine the test statistic. ESTAT (Round to two decimal places as needed.) Determine the p-value. The p-value is . (Round to three decimal places as needed.) Since the p-value is than the value of a, the null hypotheses. The interaction term to make a contribution to the regression model. m. On the basis of the results of (f) and (), which model is most appropriate? Explain. The model the interaction term appears to be the most appropriate because the interaction term to make a contribution to the regression model. which model is most appropriate? Explain. Only Depth affects Only Type affects ppears to be the most appropriate because the interaction term Both variables significantly affect ning the effect of depth and type of drilling hole on drilling time? the drilling time. m. On the basis of the results of (f) and (I), which ma The type of hole does not appear to matter. The model the interaction term appears to Wet drilling holes should be used to reduce the drilling time. n. What conclusions can you reach concerning the e Dry drilling holes should be used to reduce the drilling time. the drilling time