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Refer to Data Set 1 and use the cholesterol levels and body mass index values of

ID: 3181363 • Letter: R

Question


Refer to Data Set 1 and use the cholesterol levels and body mass index values of the 40 women.
A) is there a correlation between cholesterol level and body mass index? B) Find the percentage of the variation in y (BMI) that can be explained by the linear association between the cholesterol level and body mass index. Explain how this number was determined. Graphical and verbal solutions for all regression/correlation problems should be provided. Use stat disk for calculations. Female Age HT WT Waist Pulse SYS DIAS CHOL BMI Leg Elbow wrist Arm 17 64.3 114.8 67.2 76 104 61 196 41.6 32 66.4 149.3 82.5 72 99 64. 181 23.8 42.8 6.7 5.5 26.3 25 62.3 107.8 66.7 88 102 65 267 19.6 39.0 5.7 55 62.3 160.1 93.0 114 76 4.6 27 59.6 127.1 82.6 384 29.1 40.2 6.2 5.0 32.6 29 63.6 123.1 58 98 25.2 36.2 5.5 4.8 29.2 25 75.4 68 101 66 62 21.4. 43.2 6.0 4.9 12 59.8 111.7 73.6 80 108 61 126 22.0 38.7 5.7 5.1 27.9 41 63.3 156.3 81.4 64 104 89 27.5 41.0 6.8 33.0 32 67.9 218.8 99.4. 68 123 531 33.5 43.8 7.8 38.6 61.4 110.2 67.7 68 93 61 130 20.6 37.3 6.3 5.0 31 66.7 188.3 100.7 89 56 175 29.9 42.3 6.6 19 64.8 105.4 72.9 76 112 62 17.7 39.1 5.7 4.8 19 63.1 136.1 85.0 107 48 24.0 40.3 6.6 23 182.4 85.7 72 116 112 28.9 48.6 5.6 40 66.8 238.4 126.0 96 18 102 462 37.7 33.2 7.0 35.2 23 64.7 108.8 74.5 72 98 61 62 18.3 43.4 6.2 27 74.5 68 100 53 19.8 41.5 6.3 65.1 119.0 29.8 40.0 6.8 5.0 72 27 447 35.0 45 61.9 161.9 94.0 29.7 38.2 6.8 33.1 41 64.3 174.1 92.8 64 107 67 125 38.2 6.9 56 63.4 181.2 105.5 80 318 31.7 116 71 64 325 23.8 38.2 5.9 50 27.0 22 60.7 124.3 75.5 64 41.0 8.0 5.6 43.8 57 63.4 255.9 126.5 80 155 85 44.9 237 19.2 38.1 6.1 5.0 76 106 59 24 62.6 106.7 70.0 7.0 28,7 38.0 173 110 76 98.0 149.9 37 60.6 309 28.5 36.0 6.7 5.1 105 76 104.7 163.1 63.5 94 19.3 32.1 5.4 58.6 94.3 67.8 82 45 60.2 159.7 99.3 104 133 83 52 67.6 162.8 91.1 88 113 75 280 31.0 31.1 6.4 31.8 39.4 25.1 123 22.8 40.2 5.9 5.1 113 31 63.4 130.0 74.5 596 30.9 39.2 6.2 67 107 76 95.5 4.9 301 26.5 39.0 6.3 179.9 32 64.1 4,7 5.9 23 62.7 147.8 79.5 108 72 23 61.3 112.9 69.1 72 79 47 58.2 195.6 105.5 88 114 73 36 63.2 124.2 78.8 80 104 73 34 60.5 135.0 85.7 60 125 37 65.0 141.4 92.8 88 21.2 223 41.2 5.5 293 40.6 27.0 7.5 5.6 38.5 21.9 146 149 26.0 39.9 6.4 27.9 37.5 23.5 49 5.0 920 22.8 39.7 5.8 271 20.7 39.0 6.3 123.9 81 61.8 119 5.3 6.0 88 41.6 20.5 75.9 135.5 93 68.0 4.6 33.8 130.4 67.0 68.7 100.7 57.0

Explanation / Answer

There exists a moderate positive relationship between

CHOL and BMI

r=0.482

there is a correlation between choloesterol and BMI.

moderate postive relatonship exists betwen two.

Solutionb

Since R square=0.2321

23.21% variation in BMI is explained by linear association between the cholesterol level and body mass index

Regression equation is

BMI=21.89+0.015(CHOL)

CHOL BMI CHOL 1 BMI 0.481805 1
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