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(a)
To find out what is the
(a)
Answer to Problem 12RE
The correlation between the scores of Monday and Friday is
Explanation of Solution
It is given in the question that researchers gave students enrolled in a section of basic Spanish a set of vocabulary words to memorize. Thus, the tests were conducted on Monday and Friday and the scores are given in the table given in the question as:
| Friday | Monday |
| 42 | 36 |
| 44 | 44 |
| 45 | 46 |
| 48 | 38 |
| 44 | 40 |
| 43 | 38 |
| 41 | 37 |
| 35 | 31 |
| 43 | 32 |
| 48 | 37 |
| 43 | 41 |
| 45 | 32 |
| 47 | 44 |
| 50 | 47 |
| 34 | 34 |
| 38 | 31 |
| 43 | 40 |
| 39 | 41 |
| 46 | 32 |
| 37 | 36 |
| 40 | 31 |
| 41 | 32 |
| 48 | 39 |
| 37 | 31 |
| 36 | 41 |
Thus, to find the correlation between the scores of Monday and Friday we will use the Excel
Thus, the result will be as:
| Correlation= | =CORREL(Q45:Q69,R45:R69) |
| Correlation= | 0.473 |
Thus, the correlation between the scores of Monday and Friday is
(b)
To find out what does a
(b)
Explanation of Solution
It is given in the question that researchers gave students enrolled in a section of basic Spanish a set of vocabulary words to memorize. Thus, the tests were conducted on Monday and Friday and the scores are given in the table given in the question. Thus, the scatterplot show about the association between the scores that the better they got on Friday they would also probably have a higher score on Monday too. The scatterplot is as follows:
(c)
To find out what does it mean for a student to have a positive residual.
(c)
Explanation of Solution
It is given in the question that researchers gave students enrolled in a section of basic Spanish a set of vocabulary words to memorize. Thus, the tests were conducted on Monday and Friday and the scores are given in the table given in the question. Thus, for a student to have a positive residual means that the student did better on Monday test than predicted by the model.
(d)
To explain what would you predict about a student whose Friday score was one standard deviation below average.
(d)
Explanation of Solution
It is given in the question that researchers gave students enrolled in a section of basic Spanish a set of vocabulary words to memorize. Thus, the tests were conducted on Monday and Friday and the scores are given in the table given in the question. Thus, we predict about a student whose Friday score was one standard deviation below average that they would probably have a Monday score one standard deviation below average.
(e)
To write the equation of the regression line.
(e)
Answer to Problem 12RE
Explanation of Solution
It is given in the question that researchers gave students enrolled in a section of basic Spanish a set of vocabulary words to memorize. Thus, the tests were conducted on Monday and Friday and the scores are given in the table given in the question. Thus, to find the equation of the regression line we will select the data in Excel and then go to the insert tab and select the scatterplot from it. Then when the scatterplot is plotted we will go to the quick layout option to select the layout of the equation line and the regression line will appear on the scatterplot as:
Thus, the regression line is as:
(f)
To predict the Monday score of a student who earned a
(f)
Answer to Problem 12RE
The Monday score is
Explanation of Solution
It is given in the question that researchers gave students enrolled in a section of basic Spanish a set of vocabulary words to memorize. Thus, the tests were conducted on Monday and Friday and the scores are given in the table given in the question. And the regression line is as:
Thus, to predict the Monday score of a student who earned a
Chapter PII Solutions
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