The accompanying table shows the height​ (in inches) of 8 high school girls and their scores on an IQ test. Here is the data table Height, x IQ score, y 62 101 56 93 63 101 67 108 58 89 62 105 65 110 54 122 Display the data in a scatter plot. The graph in the image have been chosen. Calculate the sample correlation coefficient r. r = [ ] (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The accompanying table shows the height​ (in inches) of 8 high school girls and their scores on an IQ test.

Here is the data table

Height, x IQ score, y
62 101
56 93
63 101
67 108
58 89
62 105
65 110
54 122

Display the data in a scatter plot. The graph in the image have been chosen.

Calculate the sample correlation coefficient r.

r = [ ]

(Round to three decimal places as needed.)

View the image of the correlation value r table.

 

The correlation is significant when the absolute value of
is greater than the value in the table.
a = 0.05
0.950
a = 0.01
0.990
in
0.878
0.959
0.811
0.917
7.
0.754
0.875
8.
0.707
0.834
0.666
0.798
10
0.632
0.765
11
0.602
0.735
12
0.576
0.708
13
0.553
0.684
14
0.532
0.661
15
0.514
0.641
16
0.497
0.623
17
0.482
0.606
18
0.468
0.590
19
0.456
0.575
20
0.444
0.561
21
0.433
0.549
22
0.423
0.537
23
0.413
0.526
0.404
0.396
24
0.515
25
0.505
26
0.388
0.496
27
0.381
0.487
28
0.374
0.479
29
0.367
0.471
30
0.361
0.463
0.334
0.312
35
0.430
40
0.403
45
0.294
0.380
50
0.279
0.361
0.266
0.254
55
0.345
60
0.330
65
0.244
0.317
70
0.235
0.306
75
0.227
0.296
80
0.220
0.286
85
0.213
0.278
90
0.207
0.270
95
0.202
0.263
100
0.197
0.256
a = 0.05
a = 0.01
Transcribed Image Text:The correlation is significant when the absolute value of is greater than the value in the table. a = 0.05 0.950 a = 0.01 0.990 in 0.878 0.959 0.811 0.917 7. 0.754 0.875 8. 0.707 0.834 0.666 0.798 10 0.632 0.765 11 0.602 0.735 12 0.576 0.708 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 17 0.482 0.606 18 0.468 0.590 19 0.456 0.575 20 0.444 0.561 21 0.433 0.549 22 0.423 0.537 23 0.413 0.526 0.404 0.396 24 0.515 25 0.505 26 0.388 0.496 27 0.381 0.487 28 0.374 0.479 29 0.367 0.471 30 0.361 0.463 0.334 0.312 35 0.430 40 0.403 45 0.294 0.380 50 0.279 0.361 0.266 0.254 55 0.345 60 0.330 65 0.244 0.317 70 0.235 0.306 75 0.227 0.296 80 0.220 0.286 85 0.213 0.278 90 0.207 0.270 95 0.202 0.263 100 0.197 0.256 a = 0.05 a = 0.01
(a) Display the data in a scatter plot. Choose the correct graph below.
OA.
O B.
OD.
130-
68-
130-
68-
120-
110-
120-
64-
64-
110-
60-
60-
100-
100-
56-
56-.
90-
80-
52
Height (inches)
90-
52-
80
Height (inches)
80-
52
52-
80
->
68
130
68
130
Height (inches)
Height (inches)
(b) Calculate the sample correlation coefficient r.
r=
(Round to three decimal places as needed.)
1Q score
IQscore
1Q score
Transcribed Image Text:(a) Display the data in a scatter plot. Choose the correct graph below. OA. O B. OD. 130- 68- 130- 68- 120- 110- 120- 64- 64- 110- 60- 60- 100- 100- 56- 56-. 90- 80- 52 Height (inches) 90- 52- 80 Height (inches) 80- 52 52- 80 -> 68 130 68 130 Height (inches) Height (inches) (b) Calculate the sample correlation coefficient r. r= (Round to three decimal places as needed.) 1Q score IQscore 1Q score
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