Smokejumpers West fights forest fires in the western states of the US. The company has developed a regression model to explain the variation in the length of time it takes to get a fire under control. The basic model uses two independent variables: the estimated size of the fire (in acres) when first reported and the time it takes to get crews in position after the initial report. Data for a sample of five recent fires is given in the table:

The analysis produced the estimated regression equation below. (The coefficients have been rounded slightly.) y ˆ = 9.192 + .341x₁ + 3.915x₂ 

a. Interpret the coefficients. 

b. Use the data above to calculate the missing values in the tables below:

c. Does the sample evidence show a useful linear relationship (at the 5% significance level) between the dependent variable, y, and the independent variables, x₁ and x₂? Explain.

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x1 Size at x2 Time to Get Time to Control (hrs) 36 48 30 56 40 First Report Crews in Place (acres) 72 28 95 54 (hrs) 1.5 4.0 3.0 3.5 2.5 Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations b) ANOVA df SS MS F Regression ((g) 0) Error (Residual) 2 ( h) Total 4 416