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Use regression to find an exponential equation that best fits the data above. The equation has form y= overline ab ^ x * where :

a =

b =

image attached of table

Use regression to find an exponential equation that best fits the data above. The-example-1

1 Answer

5 votes

The equation has the form y = 615 * 1.312ˣ

a = 615

b = 1.312

How to get the equation

1048 / 818 = 1.281

1341 / 1048 = 1.279

1897 / 1341 = 1.414

2405 / 1897 = 1.267

3108 / 2405 = 1.292

The value of b is the value of the average of these numbers

b = 1.281 + 1.279 + 1.414 + 1.267 + 1.292 / 5

= 6.533 / 5

= 1.3066

b = 1.30709

ab = 818

a * 1.30709 = 818

a = 818 / 1.30709

a = 615.817

The equation has the form y = 615 * 1.312ˣ

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