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The following table gives the distribution of the totalpopulation and those who are blind among them. Find out if there is any relation between age and blindness : Age Population (’000) No. of Blinds 0—10 150 90 10—20 90 63 20—30 50 50 30—40 32 40 40—50 20 30 50—60 12 30 60—70 5 20 70—80 2 12 |
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Answer» Given : distribution of the total population and those who are blind among them To Find : is there any relation between age and blindness Solution: Age Population (’000) No. of Blinds Blinds % 0—10 150 90 0.06 10—20 90 63 0.07 20—30 50 50 0.1 30—40 32 40 0.125 40—50 20 30 0.15 50—60 12 30 0.25 60—70 5 20 0.4 70—80 2 12 0.6 Linear y = 0.007x - 0.061 R² = 0.816 ( not Bad but not very good) Quadratic y = 0.000x² - 0.005x + 0.108 R² = 0.983 R² value is close to 1. for Quadratic function hence Quadratic relation exist between age and Blind % We can further go for CUBIC relations as well that would be much closer. y = 3E-06x³ - 0.000x2 + 0.004x + 0.040 R² = 0.998 Learn More: Marquis wrote the linear REGRESSION equation y = 1.245 x minus ... What is the regression coefficient bxy from the following details X = 7 ... |
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