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[See Solution] Statistical Applications. It is hypothesized that a student's grade point average in college is related to the student's entrance scores

Question: Statistical Applications. It is hypothesized that a student's grade point average in college is related to the student's entrance scores on math and English tests. Estimate the model

\[Y_{i}=\beta_{0}+\beta_{1} x_{i}+\beta_{2} z_{i}+e_{i}\]

where $Y=$ grade point average, $X=$ math score, and $Z=$ English score. The data are shown in the accompanying table.

Y	X	Z
2.5	320	470
3.1	545	530
3.8	690	570
3.5	570	570
2.7	460	490
3	540	550
3.7	710	680
3.2	600	590
2.4	490	520

Show the values of b ₀ , b ₁ and b ₂ . Report R ² and what is says about the model.

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[See Solution] Statistical Applications. It is hypothesized that a student's grade point average in college is related to the student's entrance scores

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Y	X	Z
2.5	320	470
3.1	545	530
3.8	690	570
3.5	570	570
2.7	460	490
3	540	550
3.7	710	680
3.2	600	590
2.4	490	520

Y	X	Z
2.5	320	470
3.1	545	530
3.8	690	570
3.5	570	570
2.7	460	490
3	540	550
3.7	710	680
3.2	600	590
2.4	490	520

Y	X	Z
2.5	320	470
3.1	545	530
3.8	690	570
3.5	570	570
2.7	460	490
3	540	550
3.7	710	680
3.2	600	590
2.4	490	520