Question

2. Using the data set of the Health Exam Results, conduct the following analysis between the variables of weight (WT) and Body Mass Index (BMI). Number the data set from 1 to 40, and select the following individuals: . Set 1 (Malo): 1, 5, 10, 13, 15, 18, 19, 24, 29, 31, 32, 33 .Set 2 (Fomalo): 4, 9, 15, 16, 17, 22, 23, 29, 33, 37, 38, 40 Draw a scatter diagram of the sample of 12 data set ( Use graph paper and label it accordingly ) a. b. Find the correlation coefficient, r, and test its significance. c. If it is significant, find the regression line, ý- a + bx. d. Predict the Body Mass Index (BMI) of someone whose weight is x = 1457 e. Find the coefficient of determination, R2, and interpret what it means. 1 (pounds), WAIST is circumference (cm), PULSE s pulse rate (beats per minute), SYS is systolic blood pressure (mmHg), DIAS is diastolic blood pressure (mmHg), CHOL is cholesterol (mg), BMI is body mass index, LEG is upper leg length (cm), ELBOW is elbow breadth (cm), WRIST is wrist breadth (cm), and ARM is arm circumference (cm). Data are from the U.S. Department of Health and Human Services National Center for Health Statistics, Third National Health and Nutrition Examination Survey MELBW, MWRST, MARM Minitab: Worksheet name for males Excel: TI-83 Plus: App name for male data is MHEALTH.MTW Workbook name for males is MHEALTH.XLS MHEALTH and the file name are the same as for STATDIS and text files. .w-r waist Pulse SYS DÍAS CHOL BMI\Le Elbow wrist Male Age HT 23.8 42.5 23.240.2 522 90.6 58 708 169.1 6.2 2 22 662 144.2 78.1 32 71.7 179.3 4 31 68.7 175.8 s 28 67.6 152.6 46 69.2 166.8 741 66.5135.0 26.2 42.8 23.5 40.0 24.5 47.3 590 215 43.4 71 72 . 56 672 201.5 103.3 1 89.1 121 26.4 42.1 20 68.3 175.2 54 65.6 139.0 82.5 17 63.0 156.3 73 68.3 186.6 103.3 72 52 73.1 191.1 91.8 56 22.7 36.0 86.7 250 25.2 48.4 25 67.6 151.3 75. 29 68.0 209.4 105.5 17 71.0 237.1 108.7 41 61.3 176.7 104.0 52 76.2 220.6 103.0 273 27233.145.2 972 33.2 40.2 6.7 31.9 39.8 76 75 26.7 46.2 26.6 39.0 19.9 44.8 32 66.3 166.I 20 69.7 137.4 20 65.4 164.287.7 72 29 70.0 162.4 8 62.9 151.8 75.2 77.0 85.0 64 23.4 43.1 76227.038.0 303 21.6 41.0 30.9 46.0 33 68.3 204.6 103.8 55 69.4 193.8 103.0 53 69.2 172.997.1 28 68.0 161.9 86.9 28 71.9 174.8 88.0 91.5 40 72.4 213.3102.9 31 189 25.5 42.7 957 24.6 40.5 23.8 44.2 416 27.4 1 41.8 120 28.7 47.2 702 26.2 48.2 6.0 37 66.1 169.8 84 72 33 73.0 198.0 26 68.0 173.3 1252 26.4 42.96.7 32.1 42.8 8.2 53 68.7 214.5 107.5 125 84 36 70.3 137 34 63.7 119 42 71.1189 18 65.6 164.791.160 19.6 40.8 277 20.7 42.6 6.6 83 649 263 | 449 113 26.9 41. 44 68.3 170.1 94.9 20 66.3 51.0 79.9 656 25.6 44.5 .3 172 24.2 44.0 71 64 72 An Addison-Wesley product. Copyright © 2004, Pearson Education, Inc. Female Age HT WT Waist Pulse SYS DIAS CHOL BMI Leg Elbow Wrist Arm 17 64.3 114.8 67.2 76 104 6 64 32 66.4 149.3 82.5 25 62.3 107.8 66.7 88 102 65 267 19.6 39.0 5.7 76 384 29.1 40.2 6.25.0 32.6 62.3160.1 93.0 60 114 94 58 98 25.2 36.2 5.5 4.8 29.2 27 59.6 127.1 82.6 62 21.4 43.2 6.0 4.9 26.4 29 63.6 123.1 75.4 68 101 126 22.0 38.7 5.7 25 59.8 111.7 73.6 80 108 6 89 27.5 41.0 6.8 12 63.3 156.3 81.4 64 104 1 99.4 68 123 72 531 33.5 43.8 7.8 41 67.9 218.8 130 20.6 37.3 6.3 32 61.4110.2 67.7 68 93 61 1 31 66.7 188.3 100.7 80 89 56 175 29.9 42.3 6.6 19 64.8 105.4 72.9 76 112 62 8 24.0 40.36.6 19 63.1 136.1 85.0 23 66.7 182.485.7 72 116 62112 28.9 48.6 7.2 40 66.8 238.4 126.0 96 181 102 46237.7 33.2 7.0 23 64.7 108.8 74.5 72 98 61 27 65.1 119.0 74.568 100 53 45 61.9 161.9 94.072 127 74 44729.8 40.0 6.8 5.0 35.0 41 64.3 174.192.8 64 107 67 12529.7 38.2 6.8 4.7 33.1 56 63.4 181.2 105.5 80 116 71 318 31.7 38.26.9 22 60.7 124.3 75.5 64 64 325 23.8 57 63.4 255.9 126.5 80 155 85 600 24 62.6 106.7 70.0 76 106 59 237 19.2 38.1 37 60.6 149.9 98.0 76 110 70 173 28.7 38.07.0 59 63.5 163.1 104.7 76 105 69 309 28.5 36.0 6.7 5.1 34.4 40 58.6 94.3 67.8 80 11882 45 60.2 159.7 99.3 104 133 83 280 31.0 31.1 6.4 52 67.6 162.8 91.1 88 113 75 254 25.1 39.4 7.1 5.3 31 63.4 130.0 74.5 60 113 32 64.1 179.9 95.5 76 107 67 596 30.9 39.2 6.2 23 62.7 147.8 79.5 72 9s 59 301 26.S39.0 6.3 23 61.3 112.9 69.1 72 108 72 223 21.2 36.6 5.9 4.7 47 58.2 195.6 105.588 114 79 293 40.6 36 63.2 124.2 78.8 80 104 73 1 4.7 25 38.2 5,9 5.0 27.0 94 19.3 32.1 5.4 146 21.9 38.55.6 60 125 73 149 26.0 39.9 6.4 37 65.01 141.4 1928 72 124 85 149 23.5 ) 37.5 6.1 18 61.8 123.9 72.7 88 92 46 920 22.8 39.7 5.8 5.0 26 29 68.0 135.5 75.9 88 119 81 271 20.7 39.0 6.3 4.9 48 67.0 130.4 68.6 124 93 64 207 20.5 41.6 60 16 57.0 100.7 68.7 64106 64 23 2 21.9 33.8 5.6

Answer 1

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Resize Windows [161 18.3 19.8 44.9 19.2 22.8 40.6 22.8 20.7 21.9 weight(weiht male, weight female) weight [11 169.1 152.6 139.0 191.1 209.1 220.6 166.1 144.1 174.8 213.3 198.o 173 [131 160.1 218.8 238.4 108.a 119.0 255.9 106.7 130.0 195.6 123.9s Plot fweight, bmi) cor(bmi,weight) [11 0.8347894 > Im (bmi-weight) Untitled R Editor bmi male-c (23.8,23.5,22.7,25.2,31.9,26.7,26.6,21.6,23.8,28.7.26.2,26.4) weight male-c (169.1,152.6,139, 191.1,209.4,220.6,166.1,144.1.174.8,213.3,198.173.3) Call: Im (formula-bmi - weight) bmi female-c (29.1,33.5,37.7,18.3,19.8,44.9,19.2,22.8,40.6,22.8,20.7.21.9) weight female-c (160.1,218.8,239.4,108.8,119,255.9,106.7,130, 195.6,123.9,135.5.100.7) Coefficients: Intercept) bmi-c (bmi male, bmi female) RR Graphics: Device 2 (ACTIVE) weight 0.1292 4.8261 weight-c (weight _male,weight temale) eight Yl-4.8261+(0.1292 145.7) yl [11 23.65054 summary (m (mi-weight)) plot (weight, bmi) cor (bmi, welght) 1m (bmi-weight) Yl-4.8261+(0.1292 145.7) Call: ummary (1m (bmi-eight)) Residuals: -.6268-2.1000 -0.242 .3754 10.5031 Coefficients (lntercept) 4.82607 LO Hin 1Q Median 30 Hax Estimate Std. Error t value Pr ltI) 0.141 CN 3.15995 1.527 0.01817 7.112 3.93e-07 * we1ght 0.12920 esidual standard error: 3.829 on 22 degrees of freedom Multiple R-squsred: 0.699 Atic: 50.58 o and 22 DE. F-value: 3.931e-07 100 150 200 250 Adjusted Rsquared: 0.931 weight