Question

The SAT and the ACT are the two major standardized tests that colleges use to evaluate...

The SAT and the ACT are the two major standardized tests that colleges use to evaluate candidates. Most students take just one of these tests. However, some students take both. The data data83.dat gives the scores of 60 students who did this. How can we relate the two tests?

(a) Plot the data with SAT on the x axis and ACT on the y axis. Describe the overall pattern and any unusual observations.

(b) Find the least-squares regression line and draw it on your plot. Give the results of the significance test for the slope. (Round your regression slope and intercept to three decimal places, your test statistic to two decimal places, and your P-value to four decimal places.)

ACT =   +   (SAT)
t =
P =


(c) What is the correlation between the two tests? (Round your answer to three decimal places.)

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: act
Independent Variable: sat
act = -4.7889895 + 0.027243703 sat
Sample size: 60
R (correlation coefficient) = 0.90975484
R-sq = 0.82765387
Estimate of error standard deviation: 2.6011578

Parameter estimates:

Analysis of variance table for regression model:

Hence,

ACT = -4.789 + 0.027 (SAT)

t = 16.69

p = 0.0000

Correlation = 0.910

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The SAT and the ACT are the two major standardized tests that colleges use to evaluate...
The SAT and the ACT are the two major standardized tests that colleges use to evaluate candidates. Most students take just one of these tests. However, some students take both. The data data29.dat gives the scores of 60 students who did this. How can we relate the two tests? (a) Plot the data with SAT on the x axis and ACT on the y axis. Describe the overall pattern and any unusual observations. (b) Find the least-squares regression line and...
The SAT and the ACT are the two major standardized tests that colleges use to evaluate...
The SAT and the ACT are the two major standardized tests that colleges use to evaluate candidates. Most students take just one of these tests. However, some students take both. The data data18.dat gives the scores of 60 students who did this. How can we relate the two tests? (a) Plot the data with SAT on the x axis and ACT on the y axis. Describe the overall pattern and any unusual observations. (b) Find the least-squares regression line and...
The SAT and the ACT are the two major standardized tests that colleges use to evaluate...
The SAT and the ACT are the two major standardized tests that colleges use to evaluate candidates. Most students take just one of these tests. However, some students take both. The data data141.dat gives the scores of 60 students who did this. How can we relate the two tests? (a) Plot the data with SAT on the x axis and ACT on the y axis. Describe the overall pattern and any unusual observations. (b) Find the least-squares regression line and...
e SAT and the ACT are the two major standardized tests that colleges use to evaluate...
e SAT and the ACT are the two major standardized tests that colleges use to evaluate candidates. Most students take just one of these tests. However, some students take both. The data data76.dat gives the scores of 60 students who did this. How can we relate the two tests? (a) Plot the data with SAT on the x axis and ACT on the y axis. Describe the overall pattern and any unusual observations. (b) Find the least-squares regression line and...
There are two major tests of readiness for college, the ACT and the SAT. ACT scores...
There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores for more than 1 million students in a recent high school graduating class was roughly normal with mean μ = 20.8 and standard deviation σ = 4.8. SAT scores are reported on a scale from 400 to 1600. The SAT scores for 1.4 million students in the same graduating class...
The SAT is a standardized test used by many colleges and universities in their admission decisions....
The SAT is a standardized test used by many colleges and universities in their admission decisions. More than one million high school students take the SAT each year. A perfect score of all three parts of the SAT is 2400. The data set contains a sample of SAT scores for a graduating high school class. Using Excel, Show your work. SAT Scores 1665 1275 1650 1590 1475 1490 1525 2135 1560 1880 1680 1560 1355 1280 1150 1420 1440 940...
(S-AQ 3.60) There are two major tests of readiness for college: the ACT and the SAT....
(S-AQ 3.60) There are two major tests of readiness for college: the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores in recent years has been roughly Normal with mean µ = 20.9 and standard deviation s = 4.8. SAT scores are reported on a scale from 400 to 1600. SAT scores have been roughly Normal with mean µ = 1026 and standard deviation s = 209. The SAT...
A popular, nationwide standardized test taken by high-school juniors and seniors may or may not measure...
A popular, nationwide standardized test taken by high-school juniors and seniors may or may not measure academic potential, but we can nonetheless examine the relationship between scores on this test and performance in college. We have chosen a random sample of fifteen students just finishing their first year of college, and for each student we've recorded her score on this standardized test (from 400 to 1600 ) and her grade point average (from 0 to 4 ) for her first...
Employers, the military, and colleges use aptitude tests to predict how well someone might perform. Recently,...
Employers, the military, and colleges use aptitude tests to predict how well someone might perform. Recently, critics have said that everyone is more or less the same above a certain level—there isn’t much difference in performance. Now, in the current issue of Psychological Science, the authors of a new study found that this isn’t true. Instead, the higher your score, the better you perform later. The investigation considered four large studies of people who have taken aptitude tests: the College...
Use Excel) A recent report criticizes SAT-test-preparation providers for promising big score gains without any hard...
Use Excel) A recent report criticizes SAT-test-preparation providers for promising big score gains without any hard data to back up such claims (The Wall Street Journal, May 20, 2009). Suppose eight college-bound students take a mock SAT, complete a three-month test-prep course, and then take the real SAT. Let the difference be defined as Score on Mock SAT minus Score on Real SAT. Use Table 2. Student Score on Mock SAT Score on Real SAT 1 1,868             1,852           ...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT