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 (2,1) 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. a. Do the data points appear to have a strong linear correlation? O No O Yes b. What is the value of the correlation coefficient for all 10 data points? r= (Simplify your answer. Round to three decimal places as needed.) Is there a linear correlation between x and y? Use a = 0.01. OA. Yes, because the correlation coefficient is in the critical region. OB. Yes, because the correlation coefficient is not in the critical region. OC. No, because the correlation coefficient is not in the critical region. OD. No, because the correlation coefficient is in the critical region. c. What is the correlation coefficient when the point (2,1) is excluded? r= (Round to three decimal places as needed.) Is there a linear correlation between x and y? Use a = 0.01. OA. No, because the correlation coefficient is in the critical region. OB. Yes, because the correlation coefficient is not in the critical region. OC. Yes, because the correlation coefficient is in the critical region. O D. No, because the correlation coefficient is not in the critical region. d. What do you conclude about the possible effect from a single pair of values? OA single pair of values does not change the conclusion. O The effect from a single pair of values can change the conclusion. CTER Ay 10- ... 10 Q Q G

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Related questions
Question
5
a table of critical value
ts appear to have a s
e of the correlation co
ur answer. Round to t
relation between x ar
se the correlation coe
se the correlation coe
se the correlation coef
se the correlation coef
elation coefficient whe
hree decimal places a
orrelation between x ar
se the correlation coef
use the correlation coe
use the correlation coe
use the correlation coef
onclude about the poss
ir of values does not cha
Table of Critical Values
CAFETEROFESSOR
n
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
25
30
35
40
45
50
60
a = .05
.950
.878
.811
.754
.707
.666
.632
.602
576
.553
.532
.514
.497
.482
468
.456
444
.396
.361
.335
.312
294
.279
254
236
220
.207
.196
a = .01
.990
.959
.917
.875
.834
.798
.765
.735
708
.684
.661
.641
.623
.606
.590
.575
.561
.505
.463
.430
.402
.378
.361
.330
.305
70
80
90
100
NOTE: To test Ho: P = 0 against H₁: p = 0,
reject Ho if the absolute value of ris
greater than the critical value in the table.
286
.269
.256
X
0
Transcribed Image Text:a table of critical value ts appear to have a s e of the correlation co ur answer. Round to t relation between x ar se the correlation coe se the correlation coe se the correlation coef se the correlation coef elation coefficient whe hree decimal places a orrelation between x ar se the correlation coef use the correlation coe use the correlation coe use the correlation coef onclude about the poss ir of values does not cha Table of Critical Values CAFETEROFESSOR n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 a = .05 .950 .878 .811 .754 .707 .666 .632 .602 576 .553 .532 .514 .497 .482 468 .456 444 .396 .361 .335 .312 294 .279 254 236 220 .207 .196 a = .01 .990 .959 .917 .875 .834 .798 .765 .735 708 .684 .661 .641 .623 .606 .590 .575 .561 .505 .463 .430 .402 .378 .361 .330 .305 70 80 90 100 NOTE: To test Ho: P = 0 against H₁: p = 0, reject Ho if the absolute value of ris greater than the critical value in the table. 286 .269 .256 X 0
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 (2,1) 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.
a. Do the data points appear to have a strong linear correlation?
O No
O Yes
b. What is the value of the correlation coefficient for all 10 data points?
r= (Simplify your answer. Round to three decimal places as needed.)
Is there a linear correlation between x and y? Use α = 0.01.
OA. Yes, because the correlation coefficient is in the critical region.
OB. Yes, because the correlation coefficient is not in the critical region.
OC. No, because the correlation coefficient is not in the critical region.
O D. No, because the correlation coefficient is in the critical region.
c. What is the correlation coefficient when the point (2,1) is excluded?
r= (Round to three decimal places as needed.)
Is there a linear correlation between x and y? Use α = 0.01.
OA. No, because the correlation coefficient is in the critical region.
OB. Yes, because the correlation coefficient is not in the critical region.
OC. Yes, because the correlation coefficient is in the critical region.
O D. No, because the correlation coefficient is not in the critical region.
d. What do you conclude about the possible effect from a single pair of values?
OA single pair of values does not change the conclusion.
O
The effect from a single pair of values can change the conclusion.
...
Ay
10-
10
Q
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 (2,1) 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. a. Do the data points appear to have a strong linear correlation? O No O Yes b. What is the value of the correlation coefficient for all 10 data points? r= (Simplify your answer. Round to three decimal places as needed.) Is there a linear correlation between x and y? Use α = 0.01. OA. Yes, because the correlation coefficient is in the critical region. OB. Yes, because the correlation coefficient is not in the critical region. OC. No, because the correlation coefficient is not in the critical region. O D. No, because the correlation coefficient is in the critical region. c. What is the correlation coefficient when the point (2,1) is excluded? r= (Round to three decimal places as needed.) Is there a linear correlation between x and y? Use α = 0.01. OA. No, because the correlation coefficient is in the critical region. OB. Yes, because the correlation coefficient is not in the critical region. OC. Yes, because the correlation coefficient is in the critical region. O D. No, because the correlation coefficient is not in the critical region. d. What do you conclude about the possible effect from a single pair of values? OA single pair of values does not change the conclusion. O The effect from a single pair of values can change the conclusion. ... Ay 10- 10 Q
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