Question

Following data refers to the years of service (variable x) put in by seven specialized workers in a factory and
their monthly incomes (variable Y). X variable values with corresponding Y variable values can be listed as, 11
years of service with income 700, 7 years of service with income 500, 9 years of service with income 300,5
years of service with income 200, 8 years of service with income 600, 6 years of service with income 400,10
years of service with income 800. Find the correlation coefiicient.
Select one:
O a. 0.75
O b.-0.45
O c. 0.29
O d. 0.36​

Answer 1

Aɴsᴡᴇʀ࿐

Let Z be the number

Z = 13x + 11 where x is the quotient when Z is divided by 13

Z = 17y + 9 where y is the quotient when Z is divided by 17

13x + 11 = 17y + 9

13x + 2 = 17y since x and y are quotients they should be whole numbers . Since y has to be a whole number the left hand side should be multiple of 17

The least possible value of x satisfying the condition is 9 and y will be 7

The answer is 13*9 + 11 = 128 or it is 17*7 + 9 = 128

This is the least number possible. There will be multiple answers and will increase in multiples 17*13 = 221 like 349 , 570, etc.

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