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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.

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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 46E
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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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