Question

Q3 During winter the city requires that every resident must set their thermostat temperature (x) at 700F. The city inspector randomly checked 26 houses and found that that thermostats were correctly set at 700F. However the recording of gas consumed (y) in those houses were different. The simple linear correlation coefficient (r) between thermostat reading and that of amount of gas consumed will be

a. None of below b, c, d b. 1 c. 0 d. possible only if data on gas consumption is available

Answer 1

Solution:
Given in the question
That 26 houses and found that that thermostats were correctly set at 700F that means thermostat temperature (x) is constant at 700F.
While recording of gas consumed (y) in those houses were different
So As we can see that thermostat temperature (x) is constant at 700 F but gas consumed (y) required different that show no correlation.
that means both variable thermostat temperature (x) and gas consumed (y) is not correlated with each other. So its correct answer is C. i.e. 0.