The data attached contains information on customers ratings of your product (CustRate), on a scale of 1 to 100, along with demographic information. The demographic information includes: income (Inc), age (Age), education (Educ), and marital status (Marr). The last variable equals one if the respondent is married and zero otherwise. Assume the data-generating process can be written as:

CustRate_i=+₁Inc_i+₂Age_i+₃Educ_i+₄Marr_i+U_i.

1. Test the hypothesis that income has no impact on customer rating, using a confidence level of 95%. Be sure to provide the reasoning behind your result.
2. Test the hypothesis that 2=0.05, using a confidence level of 90%. Be sure to provide the reasoning behind your result.
3. Build a 95% confidence interval for the impact of education on customer rating. Be sure to provide the reasoning for your result.
4. Build a 95% confidence interval for the impact of being married on customer rating. Be sure to provide the reasoning for your result.
5. Predict the change in customer rating if a customers income increases by $10,000, with no change in age, education, or marital status.

CustRate Inc Age Educ Marr 27 56402 40 18 0 77 86893 79 17 1 32 54034 46 13 1 31 57843 37 13 0 31 74854 52 13 0 35 84470 60 18 1 36 71518 37 19 1 27 51958 40 14 0 17 45279 36 12 1 44 96499 54 20 0 14 60816 39 18 0 32 76303 71 16 0 78 102960 74 16 0 50 84134 72 15 0 1 33297 30 14 1 50 91130 52 19 1 47 67350 51 16 0 56 88032 62 18 1 46 73536 73 11 1 31 49760 42 13 1 40 46631 40 13 0 44 45622 35 14 1 79 98460 76 16 0 24 33090 27 11 0 43 54977 41 16 1 47 63962 35 19 1 41 44447 32 10 1 12 48479 44 16 1 40 46238 51 10 0 44 73284 77 11 1 45 71283 38 14 0 45 75156 60 13 0 25 38190 37 10 0 56 85846 79 15 1 72 82087 67 12 0 50 75947 74 12 1 41 70839 69 10 1 61 75504 66 17 1 72 98551 66 20 0 47 75651 70 11 1 37 74964 69 11 0 39 89002 72 16 1 53 88630 62 17 0 34 76637 58 13 0 36 53079 55 10 0 41 51481 30 13 0 26 58981 27 18 0 14 43444 29 11 0 44 57345 58 10 1 57 84636 67 11 0 36 64924 16 0 42] 31 2 40472 14 0 31 59223 37 19 0 77 97024 78 16 1 53 85859 47 20 1 42 49800 28 17 1 67 71147 41 20 0 39 45001 37 15 1 18 58189 48 12 0 41 59693 35 20 1 54 80952 78 14 0 17 62459 33 19 0 40 69623 62 11 1 38 53703 50 10 0 38 69724 48 14 0 67 87721 74 17 1 81 89167 66 18 1 46 80185 71 15 0 40 57827 36 16 0 60 67275 51 15 0 74 95682 69 11 0 60 88359 79 10 1 67 100446 78 16 1 13 27026 34 10 0 21 57546 44 16 1 33 59179 35 17 1 45 68387 52 19 0 58 96364 66 18 1 17 32724 25 10 1 60 78308 56 12 1 37 59819 45 16 1 18 31068 26 13 1 25 50646 26 17 1 53 79758 54 12 1 36 44313 27 19 0 56 71319 60 12 0 12 49824 31 15 0 51 92290 60 20 1 58 89847 78 10 0 71 100430 78 20 1 65 92519 69 17 1 56 76568 40 20 0 28 66571 60 13 1 36 72195 53 18 0 54 88754 63 13 0 49 61482 55 12 1 35 51621 37 18 1 56 94958 79 16 1 14 57514 36 19 1 54 88638 63 12 1 54 75590 61 16 1 50 59972 47 18 1 27 71715 47 18 1 42 61851 44 14 0 25 46452 43 10 1 59 118595 16 0 52 78983 13 1 37 62972 15 0 23 33026 17 1 34 87236 18 0 32 96003 m 289 17 1 18 40014 12 1 33 53142 13 0 53 84995 69 18 1 29 62975 16 0 49 74995 15 0 26 38771 27 13 69 103119 79 17 0 29 74423 56 15 1 25 46455 32 11 0 42 72186 50 18 1 48 85230 72 13 1 46 73681 63 14 0 49 76907 57 20 0 27 68105 49 11 1 65 101295 77 17 1 36 59365 38 20 0 16 46388 30 17 0 28 68826 38 18 0 48 90867 73 20 0 63 79473 55 15 0 42 81895 66 18 1 9 46703 26 17 1 16 45514 31 19 1 58 85143 71 17 1 25 58094 48 11 1 33 69363 36 18 0 53 57569 60 10 1 58 106907 77 13 0 15 44860 35 13 0 64 79328 58 20 0 49 73263 40 18 0 32 48869 30 17 1 68 87165 74 12 1 40 54211 52 14 1 72 86320 70 19 0 46 70401 66 12 0 25 37098 25 18 1 40 41355 48 10 0 58 53752 47 10 1 45 84557 59 13 1 17 47342 42 14 0 60 103203 69 18 0 51 45377 28 14 1 21 66087 53 12 1 23 66073 40 17 1 34 65824 59 10 1 55 80953 38 20 1 69 83289 72 15 0 34 48169 39 20 1 39 45445 46 12 0 62 76659 62 14 0 56 83149 50 20 0 54 80160 61 16 0 81 109642 74 19 0 24 24671 27 10 0 58 96436 79 14 1 49 95677 75 17 0 49 70679 42 20 1 62 80013 72 11 1 46 64922 44 20 0 47 92313 59 15 0 55 98551 65 19 0 41 66334 29 19 0 60 62982 45 16 0 62 87113 70 15 0 67 70545 56 14 1 47 88819 76 11 1 46 73207 80 13 0 42 77274 57 18 0 28 29363 25 11 0 27 54397 44 14 0 38 91774 76 19 0 29 52384 41 19 1 41 57775 59 10 1 78 107560 80 17 0 69 95326 57 20 1 50 69643 60 15 1 43 84103 54 16 0 52 88844 53 17 0 23 63985 35 17 1 48 74875 71 10 0 57 65793 64 13 0 55 69239 38 20 0 52 94675 65 19 1 51 81572 53 17 1 72 96332 59 20 1 38 69084 54 14 0 66 103769 79 15 1 33 53581 41 12 0 53 68716 64 13 0 54 91821 75 14 0 30 58336 33 14 0 58 90083 64 20 0 38 60276 33 19 1 64 106664 75 18 0 49 87094 57 16 1 54 89481 75 20 0 41 78496 58 19 0 37 56503 49 11 1 63 82253 80 17 0 75 102591 72 19 0 31 63780 52 13 1 74 119010 80 19 0 52 68465 59 17 0 37 48544 26 18 0 CustRate Inc Age Educ Marr 27 56402 40 18 0 77 86893 79 17 1 32 54034 46 13 1 31 57843 37 13 0 31 74854 52 13 0 35 84470 60 18 1 36 71518 37 19 1 27 51958 40 14 0 17 45279 36 12 1 44 96499 54 20 0 14 60816 39 18 0 32 76303 71 16 0 78 102960 74 16 0 50 84134 72 15 0 1 33297 30 14 1 50 91130 52 19 1 47 67350 51 16 0 56 88032 62 18 1 46 73536 73 11 1 31 49760 42 13 1 40 46631 40 13 0 44 45622 35 14 1 79 98460 76 16 0 24 33090 27 11 0 43 54977 41 16 1 47 63962 35 19 1 41 44447 32 10 1 12 48479 44 16 1 40 46238 51 10 0 44 73284 77 11 1 45 71283 38 14 0 45 75156 60 13 0 25 38190 37 10 0 56 85846 79 15 1 72 82087 67 12 0 50 75947 74 12 1 41 70839 69 10 1 61 75504 66 17 1 72 98551 66 20 0 47 75651 70 11 1 37 74964 69 11 0 39 89002 72 16 1 53 88630 62 17 0 34 76637 58 13 0 36 53079 55 10 0 41 51481 30 13 0 26 58981 27 18 0 14 43444 29 11 0 44 57345 58 10 1 57 84636 67 11 0 36 64924 16 0 42] 31 2 40472 14 0 31 59223 37 19 0 77 97024 78 16 1 53 85859 47 20 1 42 49800 28 17 1 67 71147 41 20 0 39 45001 37 15 1 18 58189 48 12 0 41 59693 35 20 1 54 80952 78 14 0 17 62459 33 19 0 40 69623 62 11 1 38 53703 50 10 0 38 69724 48 14 0 67 87721 74 17 1 81 89167 66 18 1 46 80185 71 15 0 40 57827 36 16 0 60 67275 51 15 0 74 95682 69 11 0 60 88359 79 10 1 67 100446 78 16 1 13 27026 34 10 0 21 57546 44 16 1 33 59179 35 17 1 45 68387 52 19 0 58 96364 66 18 1 17 32724 25 10 1 60 78308 56 12 1 37 59819 45 16 1 18 31068 26 13 1 25 50646 26 17 1 53 79758 54 12 1 36 44313 27 19 0 56 71319 60 12 0 12 49824 31 15 0 51 92290 60 20 1 58 89847 78 10 0 71 100430 78 20 1 65 92519 69 17 1 56 76568 40 20 0 28 66571 60 13 1 36 72195 53 18 0 54 88754 63 13 0 49 61482 55 12 1 35 51621 37 18 1 56 94958 79 16 1 14 57514 36 19 1 54 88638 63 12 1 54 75590 61 16 1 50 59972 47 18 1 27 71715 47 18 1 42 61851 44 14 0 25 46452 43 10 1 59 118595 16 0 52 78983 13 1 37 62972 15 0 23 33026 17 1 34 87236 18 0 32 96003 m 289 17 1 18 40014 12 1 33 53142 13 0 53 84995 69 18 1 29 62975 16 0 49 74995 15 0 26 38771 27 13 69 103119 79 17 0 29 74423 56 15 1 25 46455 32 11 0 42 72186 50 18 1 48 85230 72 13 1 46 73681 63 14 0 49 76907 57 20 0 27 68105 49 11 1 65 101295 77 17 1 36 59365 38 20 0 16 46388 30 17 0 28 68826 38 18 0 48 90867 73 20 0 63 79473 55 15 0 42 81895 66 18 1 9 46703 26 17 1 16 45514 31 19 1 58 85143 71 17 1 25 58094 48 11 1 33 69363 36 18 0 53 57569 60 10 1 58 106907 77 13 0 15 44860 35 13 0 64 79328 58 20 0 49 73263 40 18 0 32 48869 30 17 1 68 87165 74 12 1 40 54211 52 14 1 72 86320 70 19 0 46 70401 66 12 0 25 37098 25 18 1 40 41355 48 10 0 58 53752 47 10 1 45 84557 59 13 1 17 47342 42 14 0 60 103203 69 18 0 51 45377 28 14 1 21 66087 53 12 1 23 66073 40 17 1 34 65824 59 10 1 55 80953 38 20 1 69 83289 72 15 0 34 48169 39 20 1 39 45445 46 12 0 62 76659 62 14 0 56 83149 50 20 0 54 80160 61 16 0 81 109642 74 19 0 24 24671 27 10 0 58 96436 79 14 1 49 95677 75 17 0 49 70679 42 20 1 62 80013 72 11 1 46 64922 44 20 0 47 92313 59 15 0 55 98551 65 19 0 41 66334 29 19 0 60 62982 45 16 0 62 87113 70 15 0 67 70545 56 14 1 47 88819 76 11 1 46 73207 80 13 0 42 77274 57 18 0 28 29363 25 11 0 27 54397 44 14 0 38 91774 76 19 0 29 52384 41 19 1 41 57775 59 10 1 78 107560 80 17 0 69 95326 57 20 1 50 69643 60 15 1 43 84103 54 16 0 52 88844 53 17 0 23 63985 35 17 1 48 74875 71 10 0 57 65793 64 13 0 55 69239 38 20 0 52 94675 65 19 1 51 81572 53 17 1 72 96332 59 20 1 38 69084 54 14 0 66 103769 79 15 1 33 53581 41 12 0 53 68716 64 13 0 54 91821 75 14 0 30 58336 33 14 0 58 90083 64 20 0 38 60276 33 19 1 64 106664 75 18 0 49 87094 57 16 1 54 89481 75 20 0 41 78496 58 19 0 37 56503 49 11 1 63 82253 80 17 0 75 102591 72 19 0 31 63780 52 13 1 74 119010 80 19 0 52 68465 59 17 0 37 48544 26 18 0