Twenty different statistics students are randomly selected. For each of them, their body temperature (°C) is measured and their head circumference (cm) is measured. If it is found that r= 0, does that indicate that there is no association between these two variables? Choose the correct answer below. O A. No, because while there is no linear correlation, there may be a relationship that is not linear. O B. No, because if r= 0, the variables are in a perfect linear relationship. OC. No, because r does not measure the strength of the relationship, only its direction. O D. Yes, because if r= 0, the variables are completely unrelated.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
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predicted weight of a seal if the overhead width measured from a photograph is 2.2 cm. Car
Critical Values of the Pearson Correlation Coefficient r
0.402
0.000
0.468
0.456
0.444
0.396
0.590
0.575
0.561
0.505
0.463
0.430
0.402
0.378
18
19
20
25
30
35
40
45
50
60
70
0.361
0.335
0.312
0.294
0.279
0.254
0.236
0.220
0.207
0.196
0.361
0.330
0.305
0.286
0.269
0.256
80
90
100
In
a= 0.05
a= 0.01
Transcribed Image Text:predicted weight of a seal if the overhead width measured from a photograph is 2.2 cm. Car Critical Values of the Pearson Correlation Coefficient r 0.402 0.000 0.468 0.456 0.444 0.396 0.590 0.575 0.561 0.505 0.463 0.430 0.402 0.378 18 19 20 25 30 35 40 45 50 60 70 0.361 0.335 0.312 0.294 0.279 0.254 0.236 0.220 0.207 0.196 0.361 0.330 0.305 0.286 0.269 0.256 80 90 100 In a= 0.05 a= 0.01
Twenty different statistics students are randomly selected. For each of them, their body temperature (°C) is measured and their head circumference (cm) is measured. If it is found that r= 0, does that indicate that there is no
association between these two variables?
Choose the correct answer below.
O A. No, because while there is no linear correlation, there may be a relationship that is not linear.
O B. No, because if r= 0, the variables are in a perfect linear relationship.
OC. No, because r does not measure the strength of the relationship, only its direction.
O D. Yes, because if r= 0, the variables are completely unrelated.
Transcribed Image Text:Twenty different statistics students are randomly selected. For each of them, their body temperature (°C) is measured and their head circumference (cm) is measured. If it is found that r= 0, does that indicate that there is no association between these two variables? Choose the correct answer below. O A. No, because while there is no linear correlation, there may be a relationship that is not linear. O B. No, because if r= 0, the variables are in a perfect linear relationship. OC. No, because r does not measure the strength of the relationship, only its direction. O D. Yes, because if r= 0, the variables are completely unrelated.
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