Question

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

Answer 1