Question

(1) You are estimating the cost of optical sensors based on the radius of the sensors. You decide to calculate the coefficient of determination (R2) as part of determining the goodness of fit of an equation. Using the preliminary calculations below, calculate the R2 and determine its meaning. [Image Description: Summation of (Yi-Ybar)2 = 150000, Summation of (Yhat-Ybar)2 = 125000, Summation of (Y-Yhat)2 = 25000]

16.67% of the variation in the radius is being explained by the cost.

83.33% of the variation in the cost is being explained by the radius.

16.67% of the variation in the cost is being explained by the radius.

83.33% of the variation in the radius is being explained by the cost.

(2) Given the following information, determine the equation for the unit formulation. (Round intermediate calculations to 4 decimal places) [Table Description: Table listing Unit Number (X) and Unit Cost ($Y). Unit 1 = $785.00, Unit 2 = $605.00, Unit 3 =$519.50, Unit 4=$466.27]

Unit Number (X) Unit Cost (Y) $

1 785.00

2 605.00

3 519.50

4 466.27

Y = (785)(X) -0.4941

Y = (785)(X) -0.3758

Y = (785)(X) 0.7707

Y = (785)(X) 0.7 2)

You are estimating the fuel consumption (gallons per mile) for intermediate armored vehicles based on the horsepower of the vehicle. The vehicle for which you are estimating has 4.77 hundred horsepower. Given the following equation, select the correct response from each pair.

Fuel Consumption = - 0.0494 + 0.22 (Horsepower in hundreds)

The dependent variable is Horsepower

The dependent variable is Fuel Consumption The y-intercept is 0.22

The y-intercept is - 0.0494

The estimated fuel consumption for your vehicle is 1.10 gallons per mile

The estimated fuel consumption for your vehicle is 1.00 gallons per mile

Answer 1