I have struggled with this since this type of knowledge isn't included in math syllabus in my country. Hope you guys can clarify and give me general method to solve this type of exercise :-)
It is known that the variables x and y satisfy an equation of the form: (x+y)/(xy)=a
where a is a constant. The table below shows approximate experimental values of x and y:
However, one of the values of y has been wrongly recorded. Redefine the dependent and independent variables so that there is a linear relationship between them. Plot this straight-line graph, identify the incorrect value and estimate the value of a
x 2 3 4 5 6 y 3 2.5 1.8 1.6 1.5
I have learned from some sources and come to this far: (x+y)/(xy)= a => 1/x + 1/y = a => 1/y = -1/x + a, which satisfies the form Y=mX+c with (Y=1/y; m=-1; X=1/x; c=a)
The point is that how can I plot straight line graph with the statistics, likewise how to identify the incorrect value and estimate the value of a (could this be done without a graphic calculator).
Thank you so much