Refer to the accompanying scatterplot. a. Examine the pattem of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (1,1) and find the correlation coefficientr and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of values? Click here to view a table of critical values for the correlation coefficient. Ay 10- Table of critical values 10 a. Do the data points appear to have a strong linear correlation? a =.05 = 01 No V Yes 950 990 878 959 b. What is the value of the correlation coefficient for all 10 data points? 6. 811 917 754 875 r= (Simplify your answer. Round to three decimal places as needed.) 8. 707 834 9 666 798 10 632 765 11 602 735 12 576 708 13 553 684 14 532 661 15 514 641 16 497 623 12 482 606 18 468 590 19 456 575 20 444 561 25 396 505

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient
r and determine whether there is a linear correlation. c. Remove the point with coordinates (1,1) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about
the possible effect from a single pair of values?
Click here to view a table of critical values for the correlation coefficient.
10-
Table of critical values
10
a. Do the data points appear to have a strong linear correlation?
=.05
01
No
Yes
950
990
878
959
b. What is the value of the correlation coefficient for all 10 data points?
811
917
.754
.875
(Simplify your answer. Round to three decimal places as needed.)
8.
707
666
834
6.
798
10
632
.765
11
602
735
12
576
553
708
13
684
14
532
514
.497
.661
15
641
16
623
17
.482
606
18
468
590
19
456
.575
20
444
396
.561
25
505
Transcribed Image Text:Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (1,1) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of values? Click here to view a table of critical values for the correlation coefficient. 10- Table of critical values 10 a. Do the data points appear to have a strong linear correlation? =.05 01 No Yes 950 990 878 959 b. What is the value of the correlation coefficient for all 10 data points? 811 917 .754 .875 (Simplify your answer. Round to three decimal places as needed.) 8. 707 666 834 6. 798 10 632 .765 11 602 735 12 576 553 708 13 684 14 532 514 .497 .661 15 641 16 623 17 .482 606 18 468 590 19 456 .575 20 444 396 .561 25 505
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