A law school finds the following relationship between LSAT scores and first-year GPAS: average LSAT score 165, SD 10 average first-year GPA≈ 65, SD≈ 5, r≈ 0.6 The scatter diagram is football-shaped. One of these students is chosen at random, and you are asked to estimate her first-year GPA, without being told her LSAT score. a. What would you estimate for her first-year GPA? Answer: b. What r.m.s. error would you expect for this estimate? i. 5 ii. 10 iii. √1-0.6² × 5 iv.√1-0.6² × 10 Choose one: Oi ii Oiii Oiv. Later you find that the student's LSAT score is 175. a. Now what would you estimate for her first-year GPA? Answer: b. What r.m.s. error would you expect for this estimate? i.5 ii. 10 iii. √1-0.6² × 5 iv.√1-0.6² × 10 Choose one: i O iii Oiv.

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A law school finds the following relationship between LSAT scores and first-year GPAs:

- Average LSAT score ≈ 165, SD ≈ 10
- Average first-year GPA ≈ 65, SD ≈ 5, r ≈ 0.6

The scatter diagram is football-shaped.

One of these students is chosen at random, and you are asked to estimate her first-year GPA, without being told her LSAT score.

a. What would you estimate for her first-year GPA?  
   Answer: [ ]

b. What r.m.s. error would you expect for this estimate?

\[
\begin{align*}
i. & \quad 5 \\
ii. & \quad 10 \\
iii. & \quad \sqrt{1 - 0.6^2} \times 5 \\
iv. & \quad \sqrt{1 - 0.6^2} \times 10 \\
\end{align*}
\]

Choose one: ○ i ○ ii ● iii ○ iv.

Later you find that the student’s LSAT score is 175.

a. Now what would you estimate for her first-year GPA?  
   Answer: [ ]

b. What r.m.s. error would you expect for this estimate?

\[
\begin{align*}
i. & \quad 5 \\
ii. & \quad 10 \\
iii. & \quad \sqrt{1 - 0.6^2} \times 5 \\
iv. & \quad \sqrt{1 - 0.6^2} \times 10 \\
\end{align*}
\]

Choose one: ○ i ○ ii ● iii ○ iv.
Transcribed Image Text:A law school finds the following relationship between LSAT scores and first-year GPAs: - Average LSAT score ≈ 165, SD ≈ 10 - Average first-year GPA ≈ 65, SD ≈ 5, r ≈ 0.6 The scatter diagram is football-shaped. One of these students is chosen at random, and you are asked to estimate her first-year GPA, without being told her LSAT score. a. What would you estimate for her first-year GPA? Answer: [ ] b. What r.m.s. error would you expect for this estimate? \[ \begin{align*} i. & \quad 5 \\ ii. & \quad 10 \\ iii. & \quad \sqrt{1 - 0.6^2} \times 5 \\ iv. & \quad \sqrt{1 - 0.6^2} \times 10 \\ \end{align*} \] Choose one: ○ i ○ ii ● iii ○ iv. Later you find that the student’s LSAT score is 175. a. Now what would you estimate for her first-year GPA? Answer: [ ] b. What r.m.s. error would you expect for this estimate? \[ \begin{align*} i. & \quad 5 \\ ii. & \quad 10 \\ iii. & \quad \sqrt{1 - 0.6^2} \times 5 \\ iv. & \quad \sqrt{1 - 0.6^2} \times 10 \\ \end{align*} \] Choose one: ○ i ○ ii ● iii ○ iv.
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