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 (9,1) 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. - Table of Critical Values a. Do the data points appear to have a strong linear correlation? Yes No b. What is the value of the correlation coefficient for all 10 data points? n a=.05 a=01 4 .950 .990 5 .878 959 6 .811 917 7 .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 17 .482 - .606 18 468 .590 19 .456 .575 20 444 .561 25 .396 .505 30 .361 463 35 .335 430 40 .312 402 45 0.294 .378 50 279 .361 60 254 .330 70 236 .305 80 220 286 90 207 .269 100 196 256 NOTE: To test Hop O against Hip 0. reject Ho if the absolute value of ris greater than the critical value in the table. P G 10

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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 (9,1) 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.
-
Table of Critical Values
a. Do the data points appear to have a strong linear correlation?
Yes
No
b. What is the value of the correlation coefficient for all 10 data points?
n
a=.05
a=01
4
.950
.990
5
.878
959
6
.811
917
7
.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
17
.482
- .606
18
468
.590
19
.456
.575
20
444
.561
25
.396
.505
30
.361
463
35
.335
430
40
.312
402
45
0.294
.378
50
279
.361
60
254
.330
70
236
.305
80
220
286
90
207
.269
100
196
256
NOTE: To test Hop O against Hip 0.
reject Ho if the absolute value of ris
greater than the critical value in the table.
P
G
10
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 (9,1) 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. - Table of Critical Values a. Do the data points appear to have a strong linear correlation? Yes No b. What is the value of the correlation coefficient for all 10 data points? n a=.05 a=01 4 .950 .990 5 .878 959 6 .811 917 7 .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 17 .482 - .606 18 468 .590 19 .456 .575 20 444 .561 25 .396 .505 30 .361 463 35 .335 430 40 .312 402 45 0.294 .378 50 279 .361 60 254 .330 70 236 .305 80 220 286 90 207 .269 100 196 256 NOTE: To test Hop O against Hip 0. reject Ho if the absolute value of ris greater than the critical value in the table. P G 10
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