problems 2 and 3 use the scatter plot to choose an appropriate model. Y quartic,

Question

problems 2 and 3 use the scatter plot to choose an appropriate model. Y quartic, exponential, logarithmic, logistic and none. Justify your selection with at least one complete sentence. 2) Consider the life expectancy of a person born in the US since 1920. The first column is years since 1900. The second column is life expectancy for women. Year |Life 20 54.6 30 61.6 40 65.2 50 71.1 60 73.1 70 7 80 77.4 75 70 78.8 100 79.3 110 I 81.0 65 5$20 3040 50 GO 700 90 100 110 year since 1900 3) Sales in billions of dollars of prescription drugs for years since 1960 follow. Year | Sales 300 0 2.7 5 3 10 230 8.1 20 12.0 25 21.8 30 40.3 35 59.8 40 120.9 45 201.7 50 253.0 54 297.7 200 150 100 50 0 10 15 20 25 30 35 40 45 50 year since 1960

Explanation / Answer

2) RMS errors are found to be as follows:

Linear: 2.773

Quadratic: 0.9545

Cubic: 0.7059

Quartic: 0.7732

Exponential: 3.16

Logarithmic: Not fitted

Logistic: 0.593

For cubic fit the RMS error is the least, cubic fit is the best fit curve.

3) RMS errors are found to be as follows:

Linear: 51

Quadratic:14.39

Cubic: 12.99

Quartic: 10.03

Exponential: 18.2

Logarithmic: Not fitted

Logistic: 0.996

For logistic fit the RMS error is the least, so logistic fit is the best fit curve.

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