Mathematics department at a liberal arts college used a 25-point placement test to assist in assigni
Question: Mathematics department at a liberal arts college used a 25-point placement test to assist in assigning appropriate math courses to incoming freshmen. The department believes that the test is a good predictor of a student’s final numerical grade in its introductory statistical course. The results are shown below.
| Student | Placement Test Score (x) | Numerical Grade (y) |
| 1 | 21 | 69 |
| 2 | 17 | 72 |
| 3 | 21 | 94 |
| 4 | 11 | 61 |
| 5 | 15 | 62 |
| 6 | 19 | 80 |
| 7 | 15 | 65 |
| 8 | 23 | 88 |
| 9 | 13 | 54 |
| 10 | 19 | 75 |
| 11 | 16 | 80 |
| 12 | 25 | 93 |
| 13 | 8 | 55 |
| 14 | 14 | 60 |
| 15 | 17 | 64 |
a. Construct a scatter plot for the data.
b. Find the least square line relating x to y.
c. Plot the least square line on the graph, part a.
d. Interpret the values of 
and 
.
e. Is the proposed model appropriate? Use ?= 0.05.
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Solution: The solution file consists of 6 pages
Solution Format: Word Document
Solution Format: Word Document
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Math Solutions
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Math and Statistics Solutions
