pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference and obtains the data shown below. Height Head Circumference 27 17.5 25 17 26.5 17.2 25.5 17 27.75 17.4 26.25 17.4 26 17.1 27.25 17.4 data table 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 does the linear relation exist between height and head circumference? Select the correct answer below a) No, the variables height and head circumference are not linearly related because r is positive and the absolute value of the correlation coefficient is less than the critical value ____ b) Yes, the variables height and head circumference are positively associated because r is negative and the absolute value of the correlation coefficient is greater than the critical value ______ c) No, the variables height and head circumference are not linearly because r is negative and the absolute value of the correlation coefficient is less than the critical value _____ d) Yes, the variables height and head circumference are positively associated because r is positive and the absolute value of the correlation coefficient is greater than the critical value _______
A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference and obtains the data shown below.
Height Head Circumference
27 17.5
25 17
26.5 17.2
25.5 17
27.75 17.4
26.25 17.4
26 17.1
27.25 17.4
data table
3 0.997
4 0.950
5 0.878
6 0.811
7 0.754
8 0.707
9 0.666
10 0.632
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
16 0.497
17 0.482
18 0.468
19 0.456
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
25 0.396
26 0.388
27 0.381
28 0.374
29 0.367
30 0.361
does the linear relation exist between height and head circumference? Select the correct answer below
a) No, the variables height and head circumference are not linearly related because r is positive and the absolute value of the
b) Yes, the variables height and head circumference are positively associated because r is negative and the absolute value of the correlation coefficient is greater than the critical value ______
c) No, the variables height and head circumference are not linearly because r is negative and the absolute value of the correlation coefficient is less than the critical value _____
d) Yes, the variables height and head circumference are positively associated because r is positive and the absolute value of the correlation coefficient is greater than the critical value _______
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