Answer the following three questions (9, 10 11) based on the information given in the question that immediately follows 9 Consider the following experiment of randomly drawing eleven books from a pile of 12 physics, 3 chemistry and 14 mathematics books Suppose this experiment is repeated n times If x i ,y i and z i are respectively, the total numbers of physics, chemistry and mathematics books drawn on the i th experiment, then a regression of the form z i a x i x i 2 y i i will give us the estimates , , and Calculate these point estimates 10 If in the above question everything else remained the same, but the number of chemistry books in the original pile was increased to 13 Then how will the regression estimate change 11 If 46 more books were added to each type in the original pile, instead of only chemistry books (as in the previous question), then how will the regression estimates change

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Question: Answer the following three questions (9, 10 & 11) based on the information given in the question that immediately follows 9. Consider the following experiment

Answer the following three questions (9, 10 & 11) based on the information given in the

question that immediately follows

9. Consider the following experiment of randomly drawing eleven books from a pile of 12

physics, 3 chemistry and 14 mathematics books. Suppose this experiment is repeated n times. If x_i ,y_i and z_i are respectively, the total numbers of physics, chemistry and mathematics books drawn on the i^th experiment, then a regression of the form z_i = a + x_i+ x_i²+ y_i+ _i will give us the estimates: , , and Calculate these point-estimates.

10.If in the above question everything else remained the same, but the number of chemistry books in the original pile was increased to 13. Then how will the regression estimate change.

11. If 46 more books were added to each type in the original pile, instead of only chemistry

books (as in the previous question), then how will the regression estimates change?

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