Case Study: Modeling with Elementary Functions: Quiz

Problem 2

Consider the exponential function y(t) = 10e0.2t. Compute the sum of squared errors for the function and the following table of data.

t data value
1.1 12.461
1.2 12.734
1.5 13.553
1.7 14.099
1.8 14.372

Answers, problem 2

Add a new column to the table:

t data value y(t)
1.1 12.461 12.461
1.2 12.734 12.712
1.5 13.553 13.499
1.7 14.099 14.049
1.8 14.372 14.333

The sum of squared errors is

(12.461 – 12.461)2 + (12.734 – 12.712)2 + (13.553 – 13.499)2 + (14.099 – 14.049)2 + (14.372 – 14.333)2 = 0.007421

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