Question 3 Open the "SchoolTeachers" dataset. which contains data for n = 51 states, including the District of Columbia, on the salaries of public school teachers Fit an SLR model for Y = average teacher annual salar't.r {$ thousands} and X = spending per pupil I[$ thousands] and store the student-iced deleted residualsr leverages. Cook's distances, and DFFITS. Also create a scatterplot of '1\" vs at with the tted regression line added. a. What is the value of the highest leverage? l 59'9\": l ' is. Does the observation with the highest leverage exceed the "apt-\"n" threshold that designates an "extreme" observation? I 59'9\" l ' c. What is the value of the highest absolute studentized deleted residual? l [ 53'9\"] cl. Does the observation with the highest absolute studentized deleted residual exceed the "3" threshold that designates an "outlier?" l Seltd] tr e. What is the value of the highest absolute DFFITS?' [Select] 1' f. Does the observation with the highest absolute DFFITS exceed the "21.l[t{p+1]v"lnp1]I]" threshold that designates an "inl'luential'I observation?' l 59'9\"] ' g. What is the value of the highest Cook's dista nce? l [ 59'9\"] h. Does the observation with the highest Cook's distance exceed the "[15" threshold that designates an "influential" observation? I 59'9\" l ' i. Repeat vour regression analvsis after deleting the observation with the highest absolute DFFITS. How does the equation of the regression line change?' I 59'9\" l ' 1'. How does the value of the regression standard error, 5, change?' l 59'9\" l ID\tSalary\tSpend 1\t19.583\t3.346 2\t20.263\t3.114 3\t20.325\t3.554 4\t26.8\t4.642 5\t29.47\t4.669 6\t26.61\t4.888 7\t30.678\t5.71 8\t27.17\t5.536 9\t25.853\t4.168 10\t24.5\t3.547 11\t24.274\t3.159 12\t27.17\t3.621 13\t30.168\t3.782 14\t26.525\t4.247 15\t27.36\t3.982 16\t21.69\t3.568 17\t21.974\t3.155 18\t20.816\t3.059 19\t18.095\t2.967 20\t20.939\t3.285 21\t22.644\t3.914 22\t24.624\t4.517 23\t27.186\t4.349 24\t33.99\t5.02 25\t23.382\t3.594 26\t20.627\t2.821 27\t22.795\t3.366 28\t21.57\t2.92 29\t22.08\t2.98 30\t22.25\t3.731 31\t20.94\t2.853 32\t21.8\t2.533 33\t22.934\t2.729 34\t18.443\t2.305 35\t19.538\t2.642 36\t20.46\t3.124 37\t21.419\t2.752 38\t25.16\t3.429 39\t22.482\t3.947 40\t20.969\t2.509 41\t27.224\t5.44 42\t25.892\t4.042 43\t22.644\t3.402 44\t24.64\t2.829 45\t22.341\t2.297 46\t25.61\t2.932 47\t26.015\t3.705 48\t25.788\t4.123 49\t29.132\t3.608 50\t41.48\t8.349 51\t25.845\t3.766