Using the data below, develop a multiple regression model to predict per capita personal consumption by the consumption of paper, fish, and gasoline. Discuss the output and pay particular attention to the F test and the t tests.

The regression equation is: Per Capita =
+ ( ) Paper Consumption + ( ) Fish Consumption + ( ) Gasoline Consumption
This model yields an F = with p-value =
Thus, there is overall significance at α = .01. One of the three predictors is significant. Gasoline Consumption has a t = 2.67 with p-value of which is statistically significant at α = .05. The p-values of the t-statistics for the other two predictors are insignificant indicating that a model with just Gasoline Consumption as a single predictor might not might be nearly as strong.

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FIsh Consumptlon Gasollne Consumptlon Country Per Caplta Paper Consumptlon Personal Consumptlon (kg per person)(lbs per person ters per person) ($ U.S.) Bangladesh Greece Italy Japan Kenya Norway Philippines Portugal United Kingdom United States Venezuela 836 3,145 21,785 37,931 276 1,913 2,195 3,154 19,539 109,521 85 204 250 4 156 19 116 207 308 27 23 53 48 141 12 113 65 133 2 394 368 447 16 477 257 47 1,624 40 528