ACT scores are roughly Normal with mean 20.8 and standard deviation 4.8, and SAT scores are roughly Normal with mean 1026 and standard deviation 209. Some students take both. For those students, the correlation berween the two scores is 0.72. a. What's the equation of the straight line that you'd use to predict ACT scores based on SAT scores? b. I got a 1300 on the SAT, and I'm planning to take the ACT. Predict what I might get. c. What's the equation of the straight line that you'd use to predict SAT scores based on ACT scores? d. My friend got a 27 on the ACT, and she's planning to take the SAT. Predict what she might get. e. How come you're predicting both that I'll do worse than her on the ACT and that she will do worse than me on the SAT?

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3. ACT scores are roughly Normal with mean 20.8 and standard deviation
4.8, and SAT scores are roughly Normal with mean 1026 and standard
deviation 209. Some students take both. For those students, the
correlation between the two scores is 0.72.
a. What's the equation of the straight line that you'd use to predict ACT
scores based on SAT scores?
b. I got a 1300 on the SAT, and I'm planning to take the ACT. Predict
what I might get,
c. What's the equation of the straight line that you'd use to predict SAT
scores based on ACT scores?
d. My friend got a 27 on the ACT, and she's planning to take the SAT.
Predict what she might get.
e. How come you're predicting both that I'll do worse than her on the
ACT and that she will do worse than me on the SAT?
4. Draw a simple random
nlc of size 15 from the labels 40os01, 402.
Transcribed Image Text:3. ACT scores are roughly Normal with mean 20.8 and standard deviation 4.8, and SAT scores are roughly Normal with mean 1026 and standard deviation 209. Some students take both. For those students, the correlation between the two scores is 0.72. a. What's the equation of the straight line that you'd use to predict ACT scores based on SAT scores? b. I got a 1300 on the SAT, and I'm planning to take the ACT. Predict what I might get, c. What's the equation of the straight line that you'd use to predict SAT scores based on ACT scores? d. My friend got a 27 on the ACT, and she's planning to take the SAT. Predict what she might get. e. How come you're predicting both that I'll do worse than her on the ACT and that she will do worse than me on the SAT? 4. Draw a simple random nlc of size 15 from the labels 40os01, 402.
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