21. (06.07 MC) The table below shows the values of y for different values of x:
2 answers:
Answer:
option: A is true.
(There is a strong positive relationship between x and y ).
Step-by-step explanation:
We are given a table of values of y for different values of x as:
<u>x </u> 7 8 9 10 11 12 13
<u>y </u> 3 5 7 9 10 13 14
by the help of the correlation coefficient we can tell whether the relationship is strong or weak.
if the correlation coefficient is equal to one than the relationship is strong else it is weak.
Here we have correlation correlation coefficient for the data to be 0.9976 which is close to 1; hence the relationship is strong.
Also on plotting these points we see that the values are constantly increasing hence it is positive.
Hence option A is correct (There is a strong positive relationship between x and y ).
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Answer:
f(x) = 10500sin(π/6(x -3)) +39500
Step-by-step explanation:
The average of the maximum and minimum revenue is the vertical offset of the function, parameter D.
D = (50,000 +29,000)/2 = 39,500
The amplitude of the function is the difference between the maximum and the offset.
A = 50,000 -D = 50,000 -39,500 = 10,500
The horizontal scale factor B is a number that will be equal to 2π when x-C = 12:
12B = 2π
B = π/6 . . . . . . divide by 12
The horizontal offset is such that revenue is neutral and increasing at the value x=C. That will be in the month of March, when x=3, so C=3.
Now we have all the parameters, so we can write the equation:
f(x) = 10500sin(π/6(x -3)) +39500
