Stats Solutions

(Steps Shown) Mathematics department at a liberal arts college used a 25-point placement test to assist in assigning appropriate math courses to incoming

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
  1. Construct a scatter plot for the data.
  2. Find the least square line relating x to y .
  3. Plot the least square line on the graph, part a.
  4. Interpret the values of \[{{\overset{\scriptscriptstyle\frown}{\beta }}_{0}}\] and \[{{\overset{\scriptscriptstyle\frown}{\beta }}_{1}}\] .
  5. Is the proposed model appropriate? Use = 0.05.

Price: $2.99
Solution: The downloadable solution consists of 6 pages
Deliverable: Word Document


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