Question :1 You have calculated the following power model and associated unit space values:
[Image Description: n =7, Summation of (Y- Yhat)2 = 1285]
Power equation because it has a lower standard error than the linear model.
Linear equation because it has a higher standard error than the power model.
Power equation because it has a higher standard error than the linear model.
Linear equation because it has a lower standard error than the power model.
2) You are estimating the cost of optical sensors based on the resolution of the sensor. 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 = 147172 Summation of (Yhat - Ybar)2 = 130542 Summation of (Y- Yhat)2 = 16630]
88.70% of the variation in the cost is being explained by the resolution.
11.30% of the variation in the resolution is being explained by the cost.
88.70% of the variation in the resolution is being explained by the cost.
11.30% of the variation in the cost is being explained by the resolution.
4) You are estimating the cost ($K) of optical sensors based on the resolution of the sensor (i.e. how small of an object it can detect). Using the preliminary calculations from a data set of 9 sensors, determine the equation of the line. (Round your intermediate calculations to 3 decimal places)
?Y = 2575 ?X=80 ?XY=6857.5 ?X2=161
Cost = 513.376 + (- 53.067) (Resolution)
Cost = 26.218 + 29.566 (Resolution)
Cost = 27.07 + 29.142 (Resolution)
Cost = - 53.067 + 513.376 (Resolution)
5) You are trying to determine the statistical significance of an equation. Given the following information, test the slope of the equation at the 95% level of confidence. Select the correct answer out of each pair of choices.
Cost = 521.44 - 53.50 (Resolution) n=12 Sb1 = 17.669
The tp is 2.228
The tp is 1.860
The tc is (-) 3.028
The tc is (-) 9.372
We would reject the null hypothesis
We would fail to reject the null hypothesis
We would consider using the equation
We would not use the equation
6) Given a one independent variable linear equation that states cost in $K, and given the following information, calculate the standard error and determine its meaning.
[Image Description: n =12, Summation of (Y- Yhat)2 = 11008, Ybar=314.375]
If we used this equation, we could typically expect to be off by a $33.18K.
If we used this equation, we could typically expect to be off by a 33.18%.
If we used this equation, we could typically expect to be off by a $37.09K.
If we used this equation, we could typically expect to be off by a 37.09%.
7) 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 = - 0.03 + 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 - 0.03
The estimated fuel consumption for your vehicle is .96 gallons per mile
The estimated fuel consumption for your vehicle is 1.02 gallons per mile