A line of best fit is a straight line that best approximates a collection of n data points. In this exercise, we will assume that each point in the collection has an x coordinate and a y coordinate....

A line of best fit is a straight line that best approximates a collection of
n
data points. In this exercise, we will assume that each point in the collection has an
x
coordinate and a
y
coordinate. The symbols
x
and
y
are used to represent the average
x
value in the collection and the average
y
value in the collection respectively. The line of best fit is represented by the equation
y
=
mx
+
b
where
m
and
b
are calculated using the following formulas:

Write a program that reads a collection of points from the user. The user will enter the x part of the first coordinate on its own line, followed by the y part of the first coordinate on its own line. Allow the user to continue entering coordinates, with the
x
and
y
parts each entered on their own line, until your program reads a blank line for the
x
coordinate. Display the formula for the line of best fit in the form
y
=
mx
+b
by replacing
m
and
b
with the values you calculated using the preceding formulas. For example, if the user inputs the coordinates
(1,
1),
(2,
2.1)
and
(3,
2.9)
then your program should display
y
= 0.95x
+ 0.1.