Question

"Predicting y-Values In Exercises 3-6, use the multiple regression equation to predict the y-values for the values of the independent variables.
4. Sorghum Yield The equation used to predict the annual sorghum yield (in bushels per
acre) is y = 80.1-20.2x_1 +21.2x_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"

Accepted Answer

Identify the multiple regression equation given: y = 80.1 - 20.2x1 + 21.2x2, where x1 is the number of acres planted (in millions) and x2 is the number of acres harvested (in millions). For each pair of values of x1 and x2, substitute these values into the regression equation. For example, for part (a), substitute x1 = 5.5 and x2 = 3.9. Perform the multiplication for each term involving the independent variables: multiply -20.2 by $$x_1$$ and 21.2 by $$x_2. $$Add the results of these multiplications to the constant term 80.1, following the signs in the equation (subtract the first product and add the second product). This will give the predicted value of y for the given $$x_1$$ and $$x_2. $$Repeat steps 2 to 4 for each set of values given in parts (b), (c), and (d) to find the predicted sorghum yield for each scenario.

비슷한 문제에 대한 검증된 영상 답변:

주요 개념

Multiple Regression Equation

Interpretation of Coefficients

Prediction Using Regression Equation