Question

I need help with - ​(c) Predict the final exam score for a student who misses five class periods. - at the bottom. Thank you!

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.

Number of absences, x   Final exam score, y
0   88.5
1   86.1
2   83.2
3   81.6
4   77.4
5   74.6
6   65.3
7   72.6
8   65.5
9   66.8

Critical Values for Correlation Coefficient  
n  
3   0.997
4   0.950
5   0.878
6   0.811
7   0.754
8   0.707
9   0.666
10   0.632
11   0.602
12   0.576
13   0.553
14   0.532
15   0.514
16   0.497
17   0.482
18   0.468
19   0.456
20   0.444
21   0.433
22   0.423
23   0.413
24   0.404
25   0.396
26   0.388
27   0.381
28   0.374
29   0.367
30   0.361
n  

​(a) Find the​ least-squares

regression

line treating number of absences as the explanatory variable and the final exam score as the response variable.

ŷ = −2.692x + 88.275

​(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.)

B.

For every additional​ absence, a​ student's final exam score drops 2.692 points, on average. The average final exam score of students who miss no classes is 88.275.

Your answer is correct.

​(c) Predict the final exam score for a student who misses five class periods.

ŷ =__?__

​(Round to two decimal places as​ needed.)

Answer 1

Ans:

c)

Regression equation:

ŷ = −2.692x + 88.275

when x=5

Predicted final score,

y'=-2.692*5+88.275

y'=74.82