Applying the Concepts and SkillsHeight and Score. A random sample of 10 students was taken from an introductory statistics class. The following data were obtained, where x denotes height, in inches, and y denotes score on the final exam. x 71 68 71 65 66 68 68 64 62 y 87 96 66 71 71 55 83 67 86 a. What sort of value of r would you expect to find for these data? Explain your answer.b. Compute r.
Applying the Concepts and Skills
Height and Score. A random sample of 10 students was taken from an introductory statistics class. The following data were obtained, where x denotes height, in inches, and y denotes score on the final exam.
| x | 71 | 68 | 71 | 65 | 66 | 68 | 68 | 64 | 62 |
| y | 87 | 96 | 66 | 71 | 71 | 55 | 83 | 67 | 86 |
a. What sort of value of r would you expect to find for these data? Explain your answer.
b. Compute r.
a.
A positive value of r indicates variables are positively correlated, a negative value of r indicates variables are negatively correlated and if r is zero then there is no linear relationship between the variables.
As it is quite natural that there must not be any linear relationship between score of exam. and height of the students thus the r value assumed to be nearly zero.
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