researcher collected data during a 10-year period: amount of precipitation (PRECIP), the averagr: temperatures (TEMP), and the acres harvested (AC The dependent variable is corn production amount. Which regression equation is best for predicting the corn production amount?
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The dependent variable is corn production amount, while the independent variables are amount of precipitation (PRECIP), average temperatures (TEMP), and acres harvested (AC). Show more…
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A researcher collected data during a 10-year period: amount of precipitation (PRECIP), the average temperatures (TEMP), and the acres harvested (ACRES). The dependent variable is corn production amount. Which regression equation is best for predicting the corn production amount? Regression | Independent variable(s) | Overall P-value | R² | Adjusted R² 1 | PRECIP | .039 | .543 | .504 2 | TEMP | .047 | .437 | .371 3 | ACRES | .235 | .268 | .238 4 | PRECIP, TEMP | .001 | .729 | .703 5 | PRECIP, ACRES | .034 | .503 | .437 6 | TEMP, ACRES | .126 | .361 | .329 7 | PRECIP, TEMP, ACRES | .001 | .732 | .694
Madhur L.
The following sample data show the average annual yield of wheat in bushels per acre in a given county and the annual rainfall in inches. Rainfall Wheat Yield X^2 XY Y^2 9 40 81 360 1600 10 43 100 430 1849 16 69 256 1104 4761 13 52 169 676 2704 13 61 169 793 3721 7 27 49 189 729 11 50 121 550 2500 79 342 945 4102 17864 Below is the output of the regression function from Excel for this data a. Determine the regression equation from which we can predict the yield of wheat in the county given the rainfall. Narrate your equation in a sentence or two. b. Plot the scatter diagram of raw data and the regression line for the equation. c. Use the regression equation obtained in (a) to predict the average yield of wheat when the rainfall is 9 inches.
Use the multiple regression equation to predict the $y$ -values for the values of the independent variables. The equation used to predict the annual sorghum yield (in bushels per acre ) is $$\hat{y}=80.1-20.2 x_{1}+21.2 x_{2}$$ where $x_{1}$ is the number of acres planted (in millions) and $x_{2}$ is the number of acres harvested (in millions). (Adapted from United States Department of Agriculture) (a) $x_{1}=5.5, x_{2}=3.9$ (b) $x_{1}=8.3, x_{2}=7.3$ (c) $x_{1}=6.5, x_{2}=5.7$ (d) $x_{1}=9.4, x_{2}=7.8$
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