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You Are Given the Following Pairs of Scores on X

Question 27

Essay

You are given the following pairs of scores on X (Percentage of students whose families are below poverty line) and Y (Percentage of students at or above proficiency level) for nine schools.
a. Find the linear regression model for predicting Y from X.
XY92.318.90.987.325.148.067.145.424.780.290.713.744.026.965.558.640.646.3\begin{array}{cc}\hline X & Y \\\hline 92.3 & 18.9 \\0.9 & 87.3 \\25.1 & 48.0 \\67.1 & 45.4 \\24.7 & 80.2 \\90.7 & 13.7 \\44.0 & 26.9 \\65.5 & 58.6 \\40.6 & 46.3 \\\hline\end{array}
b. Use the prediction model obtained to predict the value of Y for a school that has 50% of students whose families are below the poverty line.

Correct Answer:

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(a) Intercept a = 80.177, slope b = -.65...

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