data set included within pics

(a) State the multiple linear regression model in context of the problem. (b) Is the multiple linear regression model in part (a) significant? Show details of the hypothesis test. Use a = 0.06. (c) Is age a significant predictor? Show details of the hypothesis test. Use a = 0.06. (d) Write down the estimated multiple linear regression equations for the two types of primary residences separately. (e) Provide the detailed interpretations of the coefficients of the slopes of the regression equation in the context of the problem. (f) Compute a 94% confidence interval for the coefficient of age using computer software. Interpret it in the context of the problem. Please verify your result manually. This will help you for your final exam. (g) Use your estimated regression equation to predict the average credit score for a 38-year-old person who earns $1,200 per week, and owns his or her residence.1. Suppose the Bank of Delaware would like to develop a regression model to predict a person's credit score based on his or her age, weekly income, and the type of primary residence (Whether he or she owns or rents his or her primary residence). The le \"Bank of Delaware 1\" in the d21 provides these data for 60 customers. As demonstrated in the lecture, please create a subset data of size 50 and perform your statistical analysis for the subset data. Please note that the subset data should be a random sample of the given data. Credit Score |ncome($) Age 518 533 561 564 573 578 591 594 597 600 604 604 607 614 615 617 617 621 623 625 625 633 636 639 642 644 1033 1073 1100 538 781 1403 1566 1258 1159 1231 985 1260 1114 1112 1177 1201 1867 1494 625 1560 1365 683 794 1252 Residence 38 Rent 29 Rent 33 Own 46 Own 40 Rent 34 Own 56 Own 39 Rent 50 Rent 35 Rent 36 Own 37 Rent 41 Own 45 Rent 44 Rent 57 Own 39 Rent 34 Rent 44 Own 33 Rent 41 Own 37 Own 41 Own 56 Own 42 Own Education High school High school High school Bachelor Bachelor High school Bachelor G raduate High school High school High school Bachelor Bachelor High school Bachelor High school Bachelor Bachelor Bachelor Bachelor High school High school Bachelor Bachelor High school 643 644 650 654 655 657 659 662 669 675 675 675 677 678 679 687 688 1099 924 1323 1620 915 998 1587 796 1405 1479 1419 889 994 1135 1810 1105 1140 49 Own 53 Rent 43 Own 53 Rent 43 Rent 43 Own 38 Own 44 Own 39 Rent 44 Rent 51 Rent 25 Own 45 Rent 33 Own 46 Own 46 Rent 47 Own Bachelor Bachelor Bachelor Graduate Bachelor Graduate Graduate High school Bachelor Bachelor Bachelor Graduate Bachelor Bachelor High school Graduate Bachelor 688 710 42 Own Bachelor 693 1869 49 Own Bachelor 693 1122 50 Rent Bachelor 695 1210 34 Own Bachelor 695 1158 51 Rent Bachelor 699 1385 44 Rent Graduate 699 1376 51 Rent High school 702 1802 52 Own High school 703 1699 65 Rent Bachelor 709 819 42 Own Bachelor 712 1025 43 Own Bachelor 717 1568 54 Own High school 731 1521 55 Own Bachelor 737 1293 41 Own Bachelor 749 1088 34 Own Bachelor 753 906 58 Own Bachelor 784 1418 59 Own Bachelor 810 1393 52 Own Graduate