Use the given data set to complete parts (a) through (b) below. (Use a= 0.05.) 10 9.14 8 8.15 X y Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. О А. A 10- 8- 6- 4- 2- 0+ 0 TO 00000 4 8 12 16 13 8.74 Q a G OB. Ay 10+ 8- 6- 4- 2- 0- 9 8.77 0 ........... 8 12 16 Q Q G 11 9.26 14 8.09 OC. AY 10+ 8- 6- 4- 6 6.14 2- 0- 0 48 12 16 Q 4 3.11 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 9.14 O D. A 10+ 8- 6- 4- 2- 0+ 0 ........... 4 8 7 7.26 12 16 Q G 5 4.74

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Use the given data set to complete parts (a) through (b) below. (Use α = 0.05.)
8
8.15
X
y
O A.
Click here to view a table of critical values for the correlation coefficient.
a. Construct a scatterplot. Choose the correct graph below.
Ay
10
9.14
10-
8-
6-
4-
2-
X
13
8.74
0-
0 4 8 12 16
The linear correlation coefficient is r=
O B.
Ау
10-
8-
6-
4
2-
0-
0 4
9
8.77
8
•
la
X
12 16
O
N
11
9.26
14
8.09
Ay
10-
8-
6-
4-
2-
0-
●
●
0 4 8
6
6.14
12 16
G
4
3.11
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.
0.
(Round to three decimal places as needed.)
12
9.14
D.
Ау
10-
8-
6-
4-
2-
0-
0
4
ON
NT
7.26
X
8 12 16
5
4.74
Transcribed Image Text:Use the given data set to complete parts (a) through (b) below. (Use α = 0.05.) 8 8.15 X y O A. Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. Ay 10 9.14 10- 8- 6- 4- 2- X 13 8.74 0- 0 4 8 12 16 The linear correlation coefficient is r= O B. Ау 10- 8- 6- 4 2- 0- 0 4 9 8.77 8 • la X 12 16 O N 11 9.26 14 8.09 Ay 10- 8- 6- 4- 2- 0- ● ● 0 4 8 6 6.14 12 16 G 4 3.11 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. 0. (Round to three decimal places as needed.) 12 9.14 D. Ау 10- 8- 6- 4- 2- 0- 0 4 ON NT 7.26 X 8 12 16 5 4.74
Table of Critical Values
e
4567890
10
11
12 13
14
15
16
17
18
19
20
25
30
35
40
45
50
60
70
80
90
100
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
α = .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
.286
.269
256
NOTE: To test Ho: p= 0 against H₁: p = 0,
reject Ho if the absolute value of r is
greater than the critical value in the table.
Transcribed Image Text:Table of Critical Values e 4567890 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 90 100 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 α = .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 .286 .269 256 NOTE: To test Ho: p= 0 against H₁: p = 0, reject Ho if the absolute value of r is greater than the critical value in the table.
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