Researcher wanted to identify what factor(s) can affect student\' score in their

Question

Researcher wanted to identify what factor(s) can affect student' score in their math class. The researcher thought the time students spent on study (Time), the grades of students' homework (GradeHW) and students' attendance (Attendance) might affect students' final scores (Score). The researcher randomly selected 10 students in the same math class and the data are shown in the table below (", " means data of student ID 3-9 are not shown for convenience purpose only) Then, the researcher fit a regression model and got the following results (intercept is included in the model): 1) What are the values for (A), (B), and (C)? 2) What are the values of MSreg and MSres? 3) What is the value of F ratio? What distribution does the corresponding F statistic follows?

Explanation / Answer

Part-1

A=3

B=10-3-1=6

C=n-1=10-1=9

Part-2

D=1394.5-37.4=1357.1

MSReg=1357.1/3=452.37

MSRes=37.4/6=6.23

Part-3

F=MSReg/MSRes=452.37/6.23=72.57

F follows F-distribution with (3,6) degrees of freedom

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