a. Which graph below shows a scatter plot for these data? O A. O B. OD. Ay 20- Ay 20- 10+ 10- 10+ 04 10 10- There appears to be linear relationship between x and y. b. What is the correlation coefficient for these sample data? =(Round to two decimal places as needed.) c. What are the appropriate hypotheses to test for a negative correlation coefficient? O A. Ho: ps0 HA: p>0 O B. Ho: p+0 Hai p= 0 O C. H ρ20 HẠi p<0 O D. Ho: p<0 Ha: p20 O E. Ho: p>0 HA: ps0 O F. Ho: p= 0 HA: p#0 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.) OA. to.05 = - OB. to.05 OC. to.025 Since the test statistic V in the rejection region, the null hypothesis. The data V support the contention that the population correlatic coefficient is negative.
a. Which graph below shows a scatter plot for these data? O A. O B. OD. Ay 20- Ay 20- 10+ 10- 10+ 04 10 10- There appears to be linear relationship between x and y. b. What is the correlation coefficient for these sample data? =(Round to two decimal places as needed.) c. What are the appropriate hypotheses to test for a negative correlation coefficient? O A. Ho: ps0 HA: p>0 O B. Ho: p+0 Hai p= 0 O C. H ρ20 HẠi p<0 O D. Ho: p<0 Ha: p20 O E. Ho: p>0 HA: ps0 O F. Ho: p= 0 HA: p#0 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.) OA. to.05 = - OB. to.05 OC. to.025 Since the test statistic V in the rejection region, the null hypothesis. The data V support the contention that the population correlatic coefficient is negative.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Topic Video
Question
Make sure to do the rounding and double check the Answers please.
Transcribed Image Text:A random sample of two variables, x and y, produced the observations
shown to the right.
11
9
20
5
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
negative. Use a significance level of 0.05 for the hypothesis test.
13
8
17
16
6
15
6
19
14
Click the icon to view the t-distribution table.
a. Which graph below shows a scatter plot for these data?
OA.
O B.
OC.
OD.
AY
10+
Ay
20-
20-
10-
0-
10
10-
10-
0-
10
20
10
10
There appears to be
linear relationship between x and y.
b. What is the correlation coefficient for these sample data?
(Round to two decimal places as needed.)
r=
c. What are the appropriate hypotheses to test for a negative correlation coefficient?
O A. Ho: ps0
O B. Ho: p+0
HA: p= 0
HẠ p>0
OC. Họ: p20
HA p<0
O D. Ho: p<0
HA: p20
O E. Ho: p>0
HA: ps0
Ο F. H0 ρ=0
HA: p+0
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.
to.05 =
O B. to.05 =
O C. to.025 = ±
Since the test statistic
V in the rejection region,
V the null hypothesis. The data
V support the contention that the population correlation
coefficient is negative.
Transcribed Image Text:PROBABILITIES (OR AREAS UNDER 1-DISTRIBUTION CURVE)
Conf. Level
0.1
0.3
0.5
0.7
0.8
0.9
0.95
0.98
0.99 Conf. Level
One Tail
Two Tails
0.45
0.35
0.25
0.15
0.1
0.05
0.025
0.01
0.005 One Tail
0.9
0.7
0.5
0.3
0.2
0.1
0.05
0.02
0.01 Two Tails
df
Values of t
df
1.0000
0.8165
1.9626
1.3862
1.2498
1
0.1584
0.5095
3.0777
6.3137 12.7062 31.8210 63.6559
1
6.9645
4.5407
9.9250
5.8408
0.1421
0.4447
1.8856
2.9200
2.3534
4.3027
2
3
0.1366
0.4242
0.7649
1.6377
3.1824
3
0.4142
0.4082
0.7407
0.7267
4
0.1338
1.1896
1.5332
2.1318
2.7765
3.7469
4.6041
4
0.1322
1.1558
1.4759
2.0150
2.5706
3.3649
4.0321
5
2.4469
2.3646
2.3060
2.2622
3.1427
2.9979
2.8965
3.7074
3.4995
0.1311
0.4043
0.7176
1.1342
1.4398
1.9432
0.4015
0.3995
0.3979
1.1192
1.1081
1.0997
1.0931
7
0.1303
0,7111
1.4149
1.8946
7
8.
0.1297
0.7064
1.3968
1.8595
3.3554
8
0.1293
0.1289
9
0.7027
1.3830
1.8331
2.8214
3.2498
9
10
0.3966
0.6998
1.3722
1,8125
2.2281
2.7638
3.1693
10
0.6974
0.6955
1.3634
1.3562
1,7959
1,7823
2.2010
2.1788
2.1604
11
0.1286
0.3956
1.0877
2.7181
3.1058
11
0.1283
0.1281
3.0545
3.0123
2.9768
12
0.3947
1.0832
2.6810
12
13
0.3940
0.6938
1.0795
1.3502
1.7709
2.6503
13
14
0.1280
0.3933
0.6924
1.0763
1.3450
1.7613
2.1448
2.6245
14
15
0.1278
0.3928
0.6912
1.0735
1.3406
1.7531
2.1315
2.6025
2.9467 15
0.1277
0.1276
1.7459
1.7396
2.1199
2.1098
2.5835
2.5669
2.5524
2.5395
2.5280
2.9208
2.8982
2.8784
16
0,3923
0.6901
1.0711
1.3368
16
1.0690
1.0672
17
0.3919
0.6892
1.3334
17
18
0.1274
0.3915
0.6884
1.3304
1.7341
2.1009
18
19
0.1274
0.3912
0.6876
1.0655
1.3277
1.7291
2.0930
2.8609
19
20
0.1273
0,3909
0.6870
1.0640
1.3253
1.7247
2.0860
2.8453
20
0.3906
1.0627
1.0614
21
1.7207
0.1272
0.1271
0.1271
0.6864
1.3232
2.0796
2.5176
2.8314
21
0.6858
0.6853
0.6848
0.6844
22
0.3904
1.3212
1.7171
2.0739
2,5083
2.8188
22
0.3902
0.3900
1.3195
1.3178
1.3163
23
1.0603
1.7139
2.0687
2.4999
2.8073
23
24
0.1270
1.0593
1.7109
2.0639
2,4922
2.7970 24
25
0.1269
0.3898
1,0584
1.7081
2.0595
2.4851
2.7874
25
0.1269
0.1268
0.1268
0.6840
0.6837
1.0575
1.0567
26
0.3896
1.3150
1.7056
2.0555
2.4786
2,7787
26
27
0.3894
1.3137
1.7033
2.0518
2.4727
2.7707
27
1.7011
1.6991
28
0.3893
1.3125
2,4671
2,4620
2,4573
0.6834
1,0560
2.0484
2.7633
28
1.3114
1.3104
29
0.1268
0.3892
0.6830
1,0553
2.0452
2.7564
29
30
0.1267
0.3890
0.6828
1.0547
1.6973
2.0423
2.7500
30
0.6807
0.6794
0.6786
0.6780
1.6839
1.6759
1.6706
2.02|1
2.0086
2.0003
1.9944
40
0.1265
0.3881
1.0500
1.3031
2,4233
2,7045
40
50
0.1263
0.3875
1.0473
1.2987
2.4033
2.6778
50
0.3872
0,3869
2.3901
2.3808
60
0.1262
1.0455
1.2958
2.6603
60
70
0.1261
1,0442
1.2938
1.2922
1.6669
2.6479
70
80
0.1261
0.3867
0.6776
1.0432
1.6641
1.9901
2,3739
2.6387 80
1.0424
1.0418
90
0.1260
0.3866
0.6772
1.2910
1.6620
1.9867
2.3685
2.6316 90
100
0.1260
0.3864
0.6770
1.2901
1.6602
1.9840
2.3642
2.6259 100
0.1258
0.1257
0.6755
0.6750
0.6745
1.6510
1.6479
1,6449
0.3858
1.2849
1.2832
1.9695
1.9647
1.9600
250
1,0386
2.3414
2.5956 250
500
0.3855
1.0375
2.3338
2.5857 500
0.1257
0.3853
1.0364
1.2816
2.3263
2.5758
Conf. Level
One Tail
Two Tails
0.1
0.45
0.95
0.025
0.3
0.5
0.7
0.8
0.9
0.98
0.99 Conf. Level
0.35
0.25
0.15
0.3
0.1
0.05
0.01
0.005 One Tail
0.9
0.7
0.5
0.2
0.1
0.05
0.02
0.01 Two Tails
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman