Arandom sample of two variables, x and y, produced the observations shown to the right a. Develop a scatter plot for the two variables and describe what relationship, if any, exists b Compute the correlation coefficient for these sample data c. Test to detemine whether the population correlation coefficient is positive. Use a significance level of 0.01 for the hypothesis test. 10 19 10 13 7 16 9 17 9 6. 20 11 15 8 PROBABILITIES (OR AREAS UNDER ADISTRIBUTION CURVE Conf. Level 0.1 0.45 0.3 0.35 0.7 0.5 0.25 0.5 0.7 0.95 0.025 0.05 0.9 0.98 0. One Tail 0.15 03 11 0.1 0.05 0.01 Two Tails 0.9 0.2 0.1 0.02 Click the icon to view the t-distribution table Values of a 0.1584 0.1421 0.1366 0.1338 01322 3.0777 L8856 16377 1.5332 1.4759 63137 2.9200 2.3534 2.1318 20150 0.5095 1.9626 1.3862 1.2498 L1896 L.IS58 12.7062 4.3027 3.1824 10000 31.8210 63 t-(Round to four decimal places as needed) 0.4447 0.8165 6.9645 4.5407 3.7469 04242 0.7649 51 Determine the critical value(s) for the rejection region for the test statistic t. Select the correct ch 0.4142 0.7407 0.7267 2.7765 25706 4.1 04082 3.3649 4.1 (Round to four decimal places as needed) 0.1311 0.1303 0.4043 0.4015 0.7176 0.7111 L.1342 LI192 14398 1.9432 3.1427 2.9979 24469 3.7 14149 1.8946 2.3646 3- OA. o01 O B. to 00s Print Done OC. bo1- Since the test statistic Vin the rejection region, V the null hypothesis. The data V support the contention that the population corelation coeficient is positive
Arandom sample of two variables, x and y, produced the observations shown to the right a. Develop a scatter plot for the two variables and describe what relationship, if any, exists b Compute the correlation coefficient for these sample data c. Test to detemine whether the population correlation coefficient is positive. Use a significance level of 0.01 for the hypothesis test. 10 19 10 13 7 16 9 17 9 6. 20 11 15 8 PROBABILITIES (OR AREAS UNDER ADISTRIBUTION CURVE Conf. Level 0.1 0.45 0.3 0.35 0.7 0.5 0.25 0.5 0.7 0.95 0.025 0.05 0.9 0.98 0. One Tail 0.15 03 11 0.1 0.05 0.01 Two Tails 0.9 0.2 0.1 0.02 Click the icon to view the t-distribution table Values of a 0.1584 0.1421 0.1366 0.1338 01322 3.0777 L8856 16377 1.5332 1.4759 63137 2.9200 2.3534 2.1318 20150 0.5095 1.9626 1.3862 1.2498 L1896 L.IS58 12.7062 4.3027 3.1824 10000 31.8210 63 t-(Round to four decimal places as needed) 0.4447 0.8165 6.9645 4.5407 3.7469 04242 0.7649 51 Determine the critical value(s) for the rejection region for the test statistic t. Select the correct ch 0.4142 0.7407 0.7267 2.7765 25706 4.1 04082 3.3649 4.1 (Round to four decimal places as needed) 0.1311 0.1303 0.4043 0.4015 0.7176 0.7111 L.1342 LI192 14398 1.9432 3.1427 2.9979 24469 3.7 14149 1.8946 2.3646 3- OA. o01 O B. to 00s Print Done OC. bo1- Since the test statistic Vin the rejection region, V the null hypothesis. The data V support the contention that the population corelation coeficient is positive
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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Transcribed Image Text:Calculate the t-test statistic for correlation.
t= (Round to four decimal places as needed.)
Determine the critical value(s) for the rejection region for the test statistic t. Select the correct choice below and fill in the answer box to complete your choice
(Round to four decimal places as needed.)
O A. to01-
B. to 005 = +
O C. to 01=
Click to select your answer(s).
Transcribed Image Text:t-Distribution Table
Arandom sample of two variables, x and y, produced the observations
shown to the right.
10
19 10
a. Develop a scatter plot for the two variables and describe what
relationship, if any, exists.
b. Compute the correlation coefficient for these sample data
c Test to determine whether the population correlation coefficient is
positive. Use a significance level of 0.01 for the hypothesis test.
13
PROBABILITIES (OR AREAS UNDER ADISTRIBUTION CURVE)
16
17
Conf. Level
One Tail
0.5
0.0
0.1
0.3
0.5
0.7
0.8
0.9
0.95
0.98
0.45
0.35
0,7
0.25
0.15
0.1
0.05
0.025
0.01
11 6
20 11
Two Tails
0.9
0.5
0.3
0.2
0.1
0.05
0.02
0.0
E Click the icon to view the t-distribution table
15 8
.
df
Values of r
0.1584
0.1421
0.1366
0.1338
0.1322
6.3137 12.7062
4.3027
3.1824
31.8210 63.0
6.9645
4.5407
0.5095
0.4447
1.9626
1.3862
3.0777
1.8856
1.6377
1.0000
t= (Round to four decimal places as needed.)
2.9200
0.8165
0.7649
0.7407
0.7267
9.1
0.4242
0.4142
3
1.2498
1.1896
1.1S58
2.3534
5.1
1.5332
1.4759
2.1318
2.7765
3.7469
4.1
Determine the critical value(s) for the rejection region for the test statistict. Select the correct ch
0.4082
2.0150
25706
3.3649
4.1
(Round to four decimal places as needed.)
0.7176
1.1342
L1192
3.1427
2.9979
0.1311
1.4398
1.9432
1.8946
24469
2.3646
0.4043
3.
7.
0.1303
0.4015
0.7111
1.4149
O A. lo01
B. to 00s+
Print
Done
O C. to01 -
Since the test statistic
V in the rejection region,
the null hypothesis. The data
V support the contention that the population correlation coefficient is positive.
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