Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 8 8.15 13 8.73 9 8.76 X y 10 9.13 Click here to view a table of critical values for the correlation coefficient. 11 9.26 T 0 4 8 12 16 14 8.09 D 6 6.13 4 3.11 T 48 12 16 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r=- (Round to three decimal places as needed.) 12 16 12 9.13 04 8 OA. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables. OB. There is insufficient evidence to support the claim of a linear correlation between the two variables. OC. There is sufficient evidence to support the claim of a linear correlation between the two variables. OD. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables. c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below. 7 7.27 12 16 5 4.74 Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below.

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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Table of Critical Values
0
n
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
25
30
35
40
45
Print
x = .05
.950
.878
.811
754
.707
.666
632
602
576
553
532
514
497
.482
468
456
444
396
1361
1335
312
294
= .01
.990
1959
.917
875
834
798
.765
1735
.708
.684
.661
641
623
.606
590
575
561
505
.463
Done
430
402
.378
Transcribed Image Text:Table of Critical Values 0 n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 Print x = .05 .950 .878 .811 754 .707 .666 632 602 576 553 532 514 497 .482 468 456 444 396 1361 1335 312 294 = .01 .990 1959 .917 875 834 798 .765 1735 .708 .684 .661 641 623 .606 590 575 561 505 .463 Done 430 402 .378
Use the given data set to complete parts (a) through (c) below. (Use α=0.05.)
8
8.15
13
8.73
9
8.76
X
y
10
9.13
Click here to view a table of critical values for the correlation coefficient.
0 4 8 12 16
0 4 8 12 16
11
9.26
...
14
8.09
T 4 8
6
6.13
OA. The scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope.
OB. The scatterplot reveals a distinct pattern that is not a straight-line pattern.
OC. The scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope.
OD. The scatterplot does not reveal a distinct pattern.
12 16
4
3.11
12
9.13
b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.
The linear correlation coefficient is r=.
(Round to three decimal places as needed.)
OA. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables.
O B. There is insufficient evidence to support the claim of a linear correlation between the two variables.
OC. There is sufficient evidence to support the claim of a linear correlation between the two variables.
O D. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables.
c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below.
7
7.27
048 12 16
Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the
correct answer below.
5
4.74
D
Transcribed Image Text:Use the given data set to complete parts (a) through (c) below. (Use α=0.05.) 8 8.15 13 8.73 9 8.76 X y 10 9.13 Click here to view a table of critical values for the correlation coefficient. 0 4 8 12 16 0 4 8 12 16 11 9.26 ... 14 8.09 T 4 8 6 6.13 OA. The scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope. OB. The scatterplot reveals a distinct pattern that is not a straight-line pattern. OC. The scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope. OD. The scatterplot does not reveal a distinct pattern. 12 16 4 3.11 12 9.13 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r=. (Round to three decimal places as needed.) OA. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables. O B. There is insufficient evidence to support the claim of a linear correlation between the two variables. OC. There is sufficient evidence to support the claim of a linear correlation between the two variables. O D. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables. c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below. 7 7.27 048 12 16 Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. 5 4.74 D
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