(1) You are estimating the cost of optical sensors based on theradius of the sensors. You decide to calculate the coefficient ofdetermination (R2) as part of determining the goodness of fit of anequation. Using the preliminary calculations below, calculate theR2 and determine its meaning. [Image Description: Summation of(Yi-Ybar)2 = 150000, Summation of (Yhat-Ybar)2 = 125000, Summationof (Y-Yhat)2 = 25000]

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

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

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

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

(2) Given the following information, determine the equation forthe unit formulation. (Round intermediate calculations to 4 decimalplaces) [Table Description: Table listing Unit Number (X) and UnitCost ($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) forintermediate armored vehicles based on the horsepower of thevehicle. The vehicle for which you are estimating has 4.77 hundredhorsepower. Given the following equation, select the correctresponse 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 is0.22

The y-intercept is - 0.0494

The estimated fuel consumption for your vehicle is 1.10 gallonsper mile

The estimated fuel consumption for your vehicle is 1.00 gallonsper mile