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Use SAS or R to solve this problem Grade point average The director… Use SAS or R to solve this problemGrade point average The director of admissions of a small college selected 120 students at random from the new freshman class in a study to determine whether a student’s grade point average (GPA) at the end of the freshman year (Y) can be predicted from the ACT test score (X). The results of the study follow. Assume that rst-order regression model (linear regression model) is appropriate.a) Fit regression model with interaction term and state the estimated regression function.b) Test whether the interaction term can be dropped from the model; use alpha = 0.05. State the alternatives, decision rule, and conclusion. If the interaction term cannot be dropped from the model, describe the nature of the interaction effect.3.897 213.885 143.778 282.540 223.028 213.865 312.962 323.961 270.500 293.178 263.310 243.538 303.083 243.013 243.245 332.963 273.522 253.013 312.947 252.118 202.563 243.357 213.731 283.925 273.556 283.101 262.420 282.579 223.871 263.060 213.927 252.375 162.929 283.375 262.857 223.072 243.381 213.290 303.549 273.646 262.978 262.654 302.540 242.250 262.069 292.617 242.183 312.000 152.952 193.806 182.871 273.352 163.305 272.952 263.547 243.691 303.160 212.194 203.323 303.936 292.922 252.716 233.370 253.606 232.642 302.452 212.655 243.714 321.806 183.516 233.039 202.966 232.482 182.700 183.920 292.834 203.222 233.084 264.000 283.511 343.323 203.072 202.079 263.875 323.208 252.920 273.345 273.956 293.808 192.506 213.886 242.183 273.429 253.024 183.750 293.833 243.113 272.875 212.747 192.311 181.841 251.583 182.879 203.591 322.914 243.716 352.800 253.621 283.792 282.867 253.419 223.600 302.394 202.286 201.486 313.885 203.800 293.914 281.860 162.948 28MathStatistics and Probability MAT 353

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