ESPECIALLY NEED HELP W NUMBER 2 PLS INCLUDE R SCRPT The file anxiety.txt contains information on a number of variables measured on a sample of 103 students taking a math test: Code: a label for the individual in the sample (not scienti cally interesting.) Revise: hours spent revising for the math test. test: score on a math test on a scale from 0 to 100. Anxiety: \math anxiety" on a scale from 0 to 100 (100 is most anxious.) Gender: female or male. Assume the data is a random sample from a larger population of students. 1. Is there a signi cant difference between average anxiety for the population of male students and the population of female students? Perform an appropriate significance test, stating hypotheses, a P-value, and a substantive conclusion. 2. Let anxiety be your x-variable and test score be your y-variable. Find the regression line to predict test score from anxiety. Carefully explain (in words or using math) what your regression line means - do not just paste R output. 3. Let anxiety be your x-variable and test score be your y-variable. Which of the following regression assumptions are met? Make arguments and/or show graphs to support your answers. (a) Linearity (b) Independence (c) Equal variance (homoskedasticity) (d) Normality of errors (e) Bivariate normality datafile (testanxiety.txt Code Revise test Anxiety Gender 1 4 40 86.298 Male 2 11 65 88.716 Female 3 27 80 70.178 Male 4 53 80 61.312 Male 5 4 40 89.522 Male 6 22 70 60.506 Female 7 16 20 81.462 Female 8 21 55 75.82 Female 9 25 50 69.372 Female 10 18 40 82.268 Female 11 18 45 79.044 Male 12 16 85 80.656 Male 13 13 70 70.178 Male 14 18 50 75.014 Female 15 98 95 34.714 Male 16 1 70 95.164 Male 17 14 95 75.82 Male 18 29 95 79.044 Female 19 4 50 91.134 Female 20 23 60 64.536 Male 21 14 80 80.656 Male 22 12 75 77.432 Male 23 22 85 65.342 Female 24 84 90 56.116 Female 25 23 30 71.79 Female 26 26 60 81.462 Female 27 24 75 63.73 Male 28 72 75 27.46 Female 29 37 27 73.402 Female 30 10 20 89.522 Male 31 3 75 89.522 Female 32 36 90 75.014 Female 33 43 60 43.58 Male 34 19 30 82.268 Male 35 12 80 79.044 Male 36 9 10 79.044 Female 37 72 85 37.132 Male 38 10 7 81.462 Male 39 12 5 83.074 Female 40 30 85 50.834 Male 41 15 20 82.268 Male 42 8 45 78.238 Female 43 34 60 72.596 Male 44 22 70 74.208 Female 45 21 50 75.82 Female 46 27 25 70.984 Male 47 6 50 97.582 Male 48 18 40 67.76 Male 49 8 80 75.014 Male 50 19 50 73.402 Female 51 0 35 93.552 Female 52 52 80 58.894 Female 53 38 50 53.252 Female 54 19 49 84.686 Male 55 23 75 89.522 Female 56 11 25 71.79 Female 57 27 65 82.268 Male 58 17 80 69.372 Male 59 13 50 62.118 Male 60 42 70 68.566 Female 61 4 40 93.552 Male 62 8 80 84.686 Female 63 6 10 82.268 Male 64 11 20 81.462 Female 65 7 40 82.268 Male 66 15 40 91.134 Male 67 4 70 91.94 Female 68 28 52 86.298 Female 69 22 50 72.596 Male 70 29 60 63.73 Female 71 2 80 63.73 Male 72 16 60 71.79 Female 73 59 65 57.282 Male 74 10 15 84.686 Female 75 13 85 84.686 Male 76 8 20 77.432 Female 77 5 80 82.268 Female 78 2 100 10 Male 79 38 100 50.834 Female 80 4 80 87.91 Male 81 10 10 83.88 Male 82 6 70 84.686 Female 83 68 100 20.206 Female 84 8 70 87.104 Male 85 1 70 83.88 Female 86 14 65 67.76 Male 87 42 75 95.97 Female 88 13 85 62.118 Female 89 1 30 84.686 Male 90 3 5 92.746 Male 91 5 10 84.686 Female 92 12 90 83.074 Female 93 19 70 73.402 Male 94 2 20 87.91 Female 95 19 85 71.79 Male 96 11 35 86.298 Male 97 15 30 84.686 Female 98 23 70 75.82 Male 99 13 55 70.984 Female 100 14 75 78.238 Female 101 1 2 82.268 Male 102 9 40 79.044 Male 103 20 50 91.134 Female