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 7.45 6.76 12.75 7.11 7.81 8.85 6.08 5.39 8.16 6.42 5.72 Click here to view a table of critical values for the correlation coefficient. A Table of Critical Values - X a. Construct a scatterplot. Choose the correct graph below. OA. O B C. AY 16- Ay 16- Q Ay 16- a = .05 a = 01 12- 12- 12- 4 .950 .990 8- 8- 8- ....... 878 .959 4- 4- 4- 6 811 .917 .754 875 12 16 8 12 16 8. 707 .834 9. .666 798 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. 10 .632 .765 The linear correlation coefficient is r=O .602 11 .735 12 .576 .708 (Round to three decimal places as needed.) 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 Hop = 0 against H: p* 0, reject Ho if the absolute value of r is greater than the critical value in the table

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 11PPS
icon
Related questions
icon
Concept explainers
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
7.45
6.76
12.75
7.11
7.81
8.85
6.08
5.39
8.16
6.42
5.72
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.
OA.
OB.
Ay
16-
A
16-
16-
a = .05
a = .01
12-
12-
12-
4.
.950
.990
8-
8-
8-
5
.878
.959
4-
...
4-
4-
6
.811
.917
0-
.875
0-
4
0-
754
12 16
12
16
4
8
12
16
.834
.798
8
.707
.666
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.
10
.632
.765
11
.602
.735
The linear correlation coefficient is r=
12
.576
.708
(Round to three decimal places as needed.)
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
.220
90
.207
.269
100
.196
256
NOTE: To test Ho:p = 0 against H: p + 0,
reject Ho if the absolute value of r is
greater than the critical value in the table.
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 7.45 6.76 12.75 7.11 7.81 8.85 6.08 5.39 8.16 6.42 5.72 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. OA. OB. Ay 16- A 16- 16- a = .05 a = .01 12- 12- 12- 4. .950 .990 8- 8- 8- 5 .878 .959 4- ... 4- 4- 6 .811 .917 0- .875 0- 4 0- 754 12 16 12 16 4 8 12 16 .834 .798 8 .707 .666 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. 10 .632 .765 11 .602 .735 The linear correlation coefficient is r= 12 .576 .708 (Round to three decimal places as needed.) 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 .220 90 .207 .269 100 .196 256 NOTE: To test Ho:p = 0 against H: p + 0, reject Ho if the absolute value of r is greater than the critical value in the table.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill