Question
In: Statistics and Probability
The accompanying data represent the number of days absent, x, and the final exam score, y,...
The accompanying data represent the number of days absent, x, and the final exam score, y, for a sample of college students in a general education course at a large state university. Complete parts (a) through (e) below.
Click the icon to view the absence count and final exam score data.
Absences and Final Exam Scores
|
No. of absences, x |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
Final exam score, |
y 88.3 |
87.3 |
84.2 |
80.9 |
77.6 |
73.8 |
64.7 |
71.1 |
66.1 |
66.2 |
Click the icon to view a table of critical values for the correlation coefficient
Critical Values for Correlation Coefficient
n
.")' 0.997
4 0.950
5 0.878
6 0.811
7 0.754
8 0.707
9 0.666
LO 0.632
11 0.602
12 0576
l3 0.553
14 0.532
15 0.514
16 0.497
17 0.482
L8 0.468
19 0.456
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
25 0396
26 0.388
27 0.381
28 0.374
29 0.367
30 0.361
(a) Find the least-squares regression line treating number of absences as the explanatory variable and the final exam score as the response variable.
^y= _______________x +_________________(Round to three decimal places as needed.)
(b) Interpret the slope and the y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice.
(Round to three decimal places as needed.)
A. For every additional absence, a student's final exam score drops____________ points, on average. The average final exam score of students
who miss no classes is___________
B. The average final exam score of students who miss no classes is ____________ It is not appropriate to interpret the slope.
C. For every additional absence, a student's final exam score drops _____________points, on average. It is not appropriate to interpret the y-intercept.
D. It is not appropriate to interpret the slope or the y-intercept.
(c) Predict the final exam score for a student who misses five class periods.
^y= ___________ (Round to two decimal places as needed.)
Compute the residual.
______________(Round to two decimal places as needed.)
Is the final exam score above or below average for this number of absences?
A. Above
B. Below
Solutions
orchestra answered 2 years agoRelated Solutions
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