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TABLE 15-4
The superintendent of a school district wanted to predict the percentage of students passing a sixth-grade proficiency test.She obtained the data on percentage of students passing the proficiency test (% Passing) ,daily mean of the percentage of students attending class (% Attendance) ,mean teacher salary in dollars (Salaries) ,and instructional spending per pupil in dollars (Spending) of 47 schools in the state.
Let Y = % Passing as the dependent variable,X1 = % Attendance,X2 = Salaries and X3 = Spending.
The coefficient of multiple determination ( ) of each of the 3 predictors with all the other remaining predictors are,respectively,0.0338,0.4669,and 0.4743.
The output from the best-subset regressions is given below: Following is the residual plot for % Attendance:
Following is the output of several multiple regression models:
Model (I) : Model (II) :
Model (III) :
-Referring to Table 15-4,the "best" model using a 5% level of significance among those chosen by the Cp statistic is
Mid-ocean Ridge
An underwater mountain range, formed by plate tectonics, that encircles the globe, marked by volcanic activity and seafloor spreading.
Island Arc
A curved chain of volcanic islands located at a tectonic plate margin, formed by the subduction of an oceanic plate.
Mantles Rise
The upward movement of mantle material in the Earth, often related to thermal convection and tectonic processes.
Rising Mantle
The ascent of mantle material towards the Earth's surface, potentially leading to volcanic activity where the crust is thin.
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