A dog trainer is exploring the relationship between the size of the dog (kg) and its daily food consumption (cups). Below is a sample of the 18 observations: Weight (kg) Food(cups) 41 3 148 CO 79 5 41 4 85 5. 111 37 111 6 41 3 91 5 109 6 207 10 49 113 84 5 95 5 57 4 168 9 The regression equation was determined to be: Y' = 1.3977 + 0.0425XThe regression equation was used to determine the following estimates Weight (kg)| Food(cups) Y' Y-Y' (Y-Y')^2 X-Mean X (X-Mean X)^2 41 3 3.1402 -0.1402 0.0197 52 2704 148 CO 7.6877 0.3123 0.0975 55 3025 79 5 4.7552 0.2448 0.0599 14 196 41 4 3.1402 0.8598 0.7393 52 2704 85 5 5.0102 0.01 0.0001 -8 64 111 6 6.1152 -0.115 0.0133 18 324 37 2.9702 0.0298 0.0009 56 3136 111 6 6.1152 -0.115 0.0133 18 324 41 3.1402 -0. 14 0.0197 2704 91 5 5.2652 -0.265 0.0703 2 109 6 6.0302 -0.03 0.0009 16 256 207 10 10 195 -0.195 0.0381 114 12996 49 3 3.4802 -0.48 0.2306 -44 1936 113 6 6.2002 -0.2 0.0401 20 400 84 5 4.9677 0 0323 0.001 9 81 95 5 5.4352 -0.435 0.1894 2 4 57 4 3.8202 0 1798 0.0323 36 1296 168 8.5377 0 4623 0.2137 75 5625 1 7801 37779Input Box #1: Determine the standard error of estimate. (Round to 4 decimals places) Input Box #2: Determine the 95% confidence interval for the mean of all 109 kg dogs. (Round to 2 decimal places and input range as lower, upper i.e. 5.15,7.25) Input Box #3: Determine the 95% prediction interval for a particular 109 kg dog. (Round to 2 decimal places and input range as lower, upper i.e. 5.15,7.25)