A college bookstore must order books two months before each semester starts. They believe that the number of books that will ultimately be sold for any particular course is related to the number of students registered for the course when the books are ordered. They would like to develop a linear regression equation to help plan how many books to order. From past records, the bookstore obtains the number of students registered, X, and the number of books actually sold for a course, Y, for 12 different semesters. These data are below. Show the complete table for your solutions.

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A college bookstore must order books two months before each semester starts. They believe that the number of books that will ultimately be sold for any particular course is related to the number of students registered for the course when the books are ordered. They would like to develop a linear regression equation to help plan how many books to order. From past records, the bookstore obtains the number of students registered, X, and the number of books actually sold for a course, Y, for 12 different semesters. These data are below. Show the complete table for your solutions.

 

At a .01 level of significance is there sufficient evidence to conclude that the number of books sold is related to the number of registered students in a straight-line manner?

Calculate df:
Indicate whether it is a one-tail or two-tail test:
Use the table for PEARSON'S CORRELATION COEFFICIENT r (Critical Values):
Make a Decision by comparing critical r with the computer Pearson Correlation Coefficient: 

PEARSON'S CORRELATION COEFFICIENT r (Critical Values)
Level of Significance for a One-Tailed Test
.005
Level of Significance for a Two-Tailed Test
.01
05
.025
.01
.0005
.05
.025
.01
.005
.0005
df=(N-2)
.10
.05
.02
.001
df=(N-2)
21
22
23
24
25
.001
0.352 0.413 0.482 0.526 0.640
0.344 0.404 0.472 0.515 0.629
.10
.05
.02
.01
0.988 0.997 0.9995
0.9999 0.99999
0.990
1
0.900 0.950 0.980
0.999
3
0.805 0.878 0.934
0.959
0.971
0.991
0.974
0.337 0.396 0.462 0.505 0.618
4
0.729 0.811 0.882
0.330 0.388 0.453 0.496 0.607
0.669 0.755 0.833
0.875
0.951
0.323 0.381 0.445 0.487 0.597
0.621 0.707 0.789
0.834
0.928
26
0.317 0.374 0.437 0.479 0.588
7
0.582 0.666 0.750
0.549 0.632 0.715
0.798
0.765
0.735
0.708
0.898
0.872
27
28
0.311 0.367 0.430 0.471 0.579
0.306 0.361 0.423 0.463 0.570
8
9
0.521 0.602 0.685
0.847
0.823
29
0.301 0.355 0.416 0.456 0.562
10
0.497 0.576 0.658
30
0.296 0.349 0.409 0.449 0.554
0.801
0.780
0.760
0.742
0.725
11
0.476 0.553 0.634
0.457 0.532 0.612
0.441 0.514 0.592 0.641
0.426 0.497 0.574
0.684
40
0.257 0.304 0.358 0.393 0.490
0.211 0.250 0.295 0.325 0.408
0.150 0.178 0.210 0.232 0.294
0.073 0.087 0.103 0.114 0.146
0.661
12
13
14
15
60
120
0.623
0.412 0.482 0.558
0.606
16
17
0.400 0.468 0.542
0.590
0.575
0.561
0.708
0.693
0.389 0.456 0.529
18
0.378 0.444 0.515
0.679
19
20
0.369 0.433
0.360 0.423
0.503
0.492
0.549
0.537
0.665
0.652
Transcribed Image Text:PEARSON'S CORRELATION COEFFICIENT r (Critical Values) Level of Significance for a One-Tailed Test .005 Level of Significance for a Two-Tailed Test .01 05 .025 .01 .0005 .05 .025 .01 .005 .0005 df=(N-2) .10 .05 .02 .001 df=(N-2) 21 22 23 24 25 .001 0.352 0.413 0.482 0.526 0.640 0.344 0.404 0.472 0.515 0.629 .10 .05 .02 .01 0.988 0.997 0.9995 0.9999 0.99999 0.990 1 0.900 0.950 0.980 0.999 3 0.805 0.878 0.934 0.959 0.971 0.991 0.974 0.337 0.396 0.462 0.505 0.618 4 0.729 0.811 0.882 0.330 0.388 0.453 0.496 0.607 0.669 0.755 0.833 0.875 0.951 0.323 0.381 0.445 0.487 0.597 0.621 0.707 0.789 0.834 0.928 26 0.317 0.374 0.437 0.479 0.588 7 0.582 0.666 0.750 0.549 0.632 0.715 0.798 0.765 0.735 0.708 0.898 0.872 27 28 0.311 0.367 0.430 0.471 0.579 0.306 0.361 0.423 0.463 0.570 8 9 0.521 0.602 0.685 0.847 0.823 29 0.301 0.355 0.416 0.456 0.562 10 0.497 0.576 0.658 30 0.296 0.349 0.409 0.449 0.554 0.801 0.780 0.760 0.742 0.725 11 0.476 0.553 0.634 0.457 0.532 0.612 0.441 0.514 0.592 0.641 0.426 0.497 0.574 0.684 40 0.257 0.304 0.358 0.393 0.490 0.211 0.250 0.295 0.325 0.408 0.150 0.178 0.210 0.232 0.294 0.073 0.087 0.103 0.114 0.146 0.661 12 13 14 15 60 120 0.623 0.412 0.482 0.558 0.606 16 17 0.400 0.468 0.542 0.590 0.575 0.561 0.708 0.693 0.389 0.456 0.529 18 0.378 0.444 0.515 0.679 19 20 0.369 0.433 0.360 0.423 0.503 0.492 0.549 0.537 0.665 0.652
Semester Students Books
36
31
28
29
3
35
34
4
39
35
30
29
30
30
31
30
8
38
38
36
34
10
38
33
11
29
29
12
26
26
Transcribed Image Text:Semester Students Books 36 31 28 29 3 35 34 4 39 35 30 29 30 30 31 30 8 38 38 36 34 10 38 33 11 29 29 12 26 26
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