A Table of Critical Values - x - 01 b. Find the linear 6 The Iinear correlation coefficient is .......... 9 12 sTHalf the absolute e of

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 1P
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Question
Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.)
10
8
13
11
14
6
4
12
7
y
9.15
8.14
8.74
8.77
9.25
8.09
6.12
3.11
9.14
7.25
4.73
Click here to view a table of critical values for the correlation coefficient.
Table of Critical Values
a. Construct a scatterplot. Choose the correct graph below.
O A.
ов.
O D.
レi
Ay
10-
Ay
10-
Ay
10-
8-
8-
a = .05
a = 01
8-
6-
6-
6-
4
.950
.990
4-
4-
4-
.878
.959
2-
.....
2-
2-
.........
6
.811
.917
0-
12 16
12
16
.754
.875
12
16
8
.707
.834
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.
9
.666
.798
10
.632
.765
The linear correlation coefficient is r=.
11
.602
.735
(Round to three decimal places as needed.)
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
.294
.378
50
.279
.361
60
.254
.330
70
.236
.305
80
.220
.286
90
.207
.269
100
.196
256
NOTE: To test Hoip = 0 against H;: p + 0,
reject Ho if the absolute value of r is
greater than the critical value in the table.
Entor VOur anc
in the answer b ox and then click Check Answer
Transcribed Image Text:Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 10 8 13 11 14 6 4 12 7 y 9.15 8.14 8.74 8.77 9.25 8.09 6.12 3.11 9.14 7.25 4.73 Click here to view a table of critical values for the correlation coefficient. Table of Critical Values a. Construct a scatterplot. Choose the correct graph below. O A. ов. O D. レi Ay 10- Ay 10- Ay 10- 8- 8- a = .05 a = 01 8- 6- 6- 6- 4 .950 .990 4- 4- 4- .878 .959 2- ..... 2- 2- ......... 6 .811 .917 0- 12 16 12 16 .754 .875 12 16 8 .707 .834 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. 9 .666 .798 10 .632 .765 The linear correlation coefficient is r=. 11 .602 .735 (Round to three decimal places as needed.) 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 .294 .378 50 .279 .361 60 .254 .330 70 .236 .305 80 .220 .286 90 .207 .269 100 .196 256 NOTE: To test Hoip = 0 against H;: p + 0, reject Ho if the absolute value of r is greater than the critical value in the table. Entor VOur anc in the answer b ox and then click Check Answer
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