Question The scores (x) on a computer science aptitude test range from 0 to 25,
ID: 3130046 • Letter: Q
Question
Question
The scores (x) on a computer science aptitude test range from 0 to 25, and the course grade (y) with possible values: 0.0, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, were recorded for 20 students in an introductory computer science course as shown below.
12. Find the coefficient of linear correlation for this data.
13. Give the p-value if this data is used to test H o: = 0() vs. Ha: > 0 at = 0.1.
What is your decision?
QUESTIONS 14 THROUGH16 ARE BASED ON THE FOLLOWING INFORMATION: Consider the following bivariate data.
14. Find the critical value of r.
15. Find the calculated value of r; namely r* .
16. State the decision.
QUESTIONS 17 THROUGH 25 ARE BASED ON THE FOLLOWING INFORMATION:
The average number of client contacts per month, x, and the sales volume, y (in $1000), were recorded of each of 10 salespeople.
17. Draw a scatter diagram of the data
18. Does the scatter diagram suggest a linear relationship between x and y?
Explanation / Answer
12.
Using technology, we get the correlation,
r = 0.833154841 [ANSWER]
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13.
As t = r sqrt [(n - 2) / (1 - r^2)], then as n = 20,
t = 6.391541233
As alpha = 0.1, right tailed, and
df = n - 2 = 18
Then using technology,
P = 2.55269*10^-6 [ANSWER, P VALUE]
As P < 0.1, we reject Ho. [DECISION]
There is significant evidence that correlation between the variables is significant at 0.1 level. [CONCLUSION]
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