Estimating the costs of drilling oil wells is an important consideration for the oil industry. The Dataset contains the total costs and the depths of 16 offshore oil wells located in the Philippines (taken from \"Identifying the major determinants of exploration drilling costs: A l'St approximation using the Philippine case\" by Gary S. M Energy Exploration and Exploitation, 1985). Depth (feet) Cost ($ 1000) 5000 2596-800049 5200 3328 6000 3 1 8 1 . 1 00098 6538 3 1 98.399902 7109 47779-899902 7556 5905-600098 8005 5769-200195 8207 8089-5 8210 41813-100098 8600 56 l 8-700195 9026 7736 9197 6788.299805 9926 7840-799805 1081 3 8882-5 1 3800 10489.5 143 1 I 12506-59961 (a) Fit a linear regression model with cost as the response variable and depth as the independent variable. (b) What is the MSE? (c) What is the standard error for the slope parameter? ((1) Draw the scatter plot of all the paired data and the tted line