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[7] A large class of students just sat an exam consisting of 30 true-false quest

ID: 3075076 • Letter: #

Question

[7] A large class of students just sat an exam consisting of 30 true-false questions. The TA recorded the number of correct answers (Y) and the number of incorrect answers (X) for each student. Suppose we then regressed Y on X (Hint: This is quite an unusual regression example. Just pay special attention to the relationship between X and Y and think about whether there should be an error term in the population regression model) a) Write the population regression function b) What will be the value of the R2? Explain c) What will be the value of the standard error of the regression? Explain

Explanation / Answer

sol)

a) The regression function is

y= -x +30

b) since it is perfectly negative the multiple regression is r=1

Hence Coefficient of determination R2 =1

C) Since Coefficient of determination R2 =1 we can say that Standard error is 0

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