13 11 7.81 538 12 8.16 5.74 7.46 6.76 883 6.08 Click here to view a table of critical values for the correlation coefficient a. Construct a scatterplot Choose the correct graph below. OD. 16 12 16 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
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Question
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Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.)
11
7.81
X
10
8
13
14
6.
12
7.46
6.76
12.75
7.12
8.83
6.08
5.38
8.16
6.42
5.74
E Click here to view a table of critical values for the correlation coefficient.
.... .
a. Construct a scatterplot. Choose the correct graph below.
YA.
OB.
OC.
OD.
Ay
16-
Ay
16-
Ay
16-
16-
12-
12-
12-
12-
8-
8-
8-
8-
4-
4-
4-
4-
0-
4
0-
4
0-
0-
8 12 16
12 16
12 16
4
8.
8
12 16
8
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.)
Transcribed Image Text:Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 11 7.81 X 10 8 13 14 6. 12 7.46 6.76 12.75 7.12 8.83 6.08 5.38 8.16 6.42 5.74 E Click here to view a table of critical values for the correlation coefficient. .... . a. Construct a scatterplot. Choose the correct graph below. YA. OB. OC. OD. Ay 16- Ay 16- Ay 16- 16- 12- 12- 12- 12- 8- 8- 8- 8- 4- 4- 4- 4- 0- 4 0- 4 0- 0- 8 12 16 12 16 12 16 4 8. 8 12 16 8 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.)
Table of critical values
a = .05
a = .01
4
.950
.990
.878
.959
.811
.917
7
.754
.875
.707
.834
9.
.666
.798
10
.632
.765
11
.602
.735
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 Ho:p = 0 against Hi 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 a = .05 a = .01 4 .950 .990 .878 .959 .811 .917 7 .754 .875 .707 .834 9. .666 .798 10 .632 .765 11 .602 .735 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 Ho:p = 0 against Hi p+ 0, reject Ho if the absolute value of r is greater than the critical value in the table.
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