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.
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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Author:Amos Gilat
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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb889a3f-4f40-43bc-a801-def51aa53322%2F3c194af1-df05-4126-9fed-564ab8fddbe4%2F7t4l9l_processed.png&w=3840&q=75)
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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