Question:
Based on 10 data points (π₯1, π¦1 ), (π₯2, π¦2 ), β¦ , (π₯10, π¦10) on a variable (π, π), the simple regression lines of π on π and π on π are obtained as 2π¦ β π₯ = 8 and π¦βπ₯ =β3, respectively. Let π₯Μ
=\(\frac{ 1}{ 10} β^{10}_{i=1} π₯_π\) and π¦Μ
= \(\frac{ 1}{ 10} β^{10}_{i=1} y_π\). Then, which of the following statements is/are TRUE?
Based on 10 data points (π₯1, π¦1 ), (π₯2, π¦2 ), β¦ , (π₯10, π¦10) on a variable (π, π), the simple regression lines of π on π and π on π are obtained as 2π¦ β π₯ = 8 and π¦βπ₯ =β3, respectively. Let π₯Μ
=\(\frac{ 1}{ 10} β^{10}_{i=1} π₯_π\) and π¦Μ
= \(\frac{ 1}{ 10} β^{10}_{i=1} y_π\). Then, which of the following statements is/are TRUE?
Updated On: Oct 1, 2024
- \(β^{10}_{i=1}x_i=140\)
- \(β^{10}_{i=1}y_i=110\)
- \(\frac{β^{10}_{i=1}(x_i-xy_i)}{\sqrt({β^{10}_{i=1}(x_i-x)^2)(β^{10}_{i=1}(y_i-y)^2)}}=-\frac{1}{\sqrt2}\)
- \(\frac{β^{10}_{i=1}(x_i-x)^2}{β^{10}_{i=1}(y_i-y)^2}\)=2
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The Correct Option is A, B, D
Solution and Explanation
The correct options are: A, B and D
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