Problem

Outboard motors. The table gives performance data for a boat powered by an Evinrude outboa...

Outboard motors. The table gives performance data for a boat powered by an Evinrude outboard motor. Find a quadratic regression model (y = ax2 + bx + c) for boat speed y (in miles per hour) as a function of engine speed (in revolutions per minute). Estimate the boat speed at an engine speed of 3,100 revolutions per minute.

Table for 1 and 2

rpm

mph

mpg

1,500

4.5

8.2

2,000

5.7

6.9

2,500

7.8

4.8

3,000

9.6

4.1

3,500

13.4

3.7

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