In: Statistics and Probability
The table lists height (in) and weights (lb) of randomly
selected 8 students.
Height (in) 60 65 66 68 60 67 69 70
Weight (lb) 150 152 156 160 160 167 168 170
(a) Find the the value of coefficient of correlation r.
(b) Find the equation of the line of best best fit (trend line).
What does variable y represents?
(c) Estimate weight of a student from the same group who is 64
inches tall.
Solution:
a) coefficient of correlation r= 0.701
calculation:
b) Here variable y represent Weight because weight is dependent on hight. So weight is dependent variable and height is independent variable.
The equation of line is:
Y=70.1104 + 1.3755X
c) for x=64 find y
Y= 70.1104 + 1.3755*64
Y= 158.14
calculation: