11. a. In a new space entered below this part, calculate and present the correlation matrix. b. In a new line entered below this part, based only on your correlation matrix calculated and presented in part 11.a, state the strength of the correlations between the predictor variables. c. In a new line entered below this part, based only on your correlation matrix calculated and presented in part 11.a, state which, if any, of any of the predictor variables are correlated with each other to such an extent that you suspect that they are not truly independent of each other. MPG Horsepower Weight Trans Transmission 17.7 165 3445 1 manual 18.1 139 3205 1 manual 20.3 103 2830 1 manual 21.5 115 3345 0 automatic 16.9 155 4360 0 automatic 15.5 142 4054 0 automatic 18.5 150 3940 0 automatic 27.2 71 2190 0 automatic 41.5 76 2044 0 automatic 46.6 65 2110 0 automatic 23.7 100 2420 0 automatic 27.2 84 2490 0 automatic 39.1 58 1455 0 automatic 28.0 88 2305 0 automatic 24.0 92 2465 0 automatic 20.2 139 3570 0 automatic 20.5 110 3155 1 manual 28.0 90 2678 1 manual 34.7 63 2015 1 manual 36.1 66 1800 1 manual 35.7 80 2015 1 manual 20.2 85 2965 1 manual 23.9 90 2920 1 manual 29.9 65 2380 1 manual 30.4 67 2850 0 automatic 36.0 74 1980 0 automatic 22.6 110 2800 0 automatic 36.4 87 2950 0 automatic 27.5 95 2560 0 automatic 33.7 75 1910 0 automatic 44.6 67 1850 0 automatic 32.9 100 2615 0 automatic 38.0 67 1965 0 automatic 24.2 120 3230 0 automatic 38.1 60 1968 0 automatic 39.4 70 2070 0 automatic 25.4 116 2985 0 automatic 31.3 75 1842 0 automatic 34.1 68 1985 0 automatic 34.0 88 2395 0 automatic 31.0 82 2720 0 automatic 27.4 80 2470 1 manual 22.3 88 2890 1 manual 28.0 79 2025 1 manual 17.6 85 3465 1 manual 34.4 65 3465 1 manual 20.6 105 3380 1 manual