Find the coefficient of determination

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1 The data below indicate the state gas tax in cents per gallon and the fuel use per registered vehicle (in gallons). Is there a significant relationship between these two variables?

Tax 21.5 23 18 24.5 26.4 19

Usage 1062 631 920 686 736 684

2 In a study on speed and braking distance, researchers looked for a method to estimate how fast a person was traveling before an accident by measuring the length of the skid marks. An area that was focused on in the study was the distance required to completely stop a vehicle at various speeds. Use the following table to find the linear regression equation.

MPH Braking distance (feet)

20 20
30 45
40 81
50 133
60 205
80 411

3 Seatwork

Use the data in the table below to find the coefficient of determination and interpret the result.

Height 70 72 75 76 85 78 77 82

Trunk diameter 8.3 10.5 11.0 11.4 14.9 14 16.3 15.8

Reference no: EM132852885

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