For this case we have the following expression:
We multiply both sides by:
We divide both sides by 216:
To divide powers of the same base, we place the same base and subtract the exponents:
Rewriting:
To multiply powers of the same base, we place the same base and add the exponents:
We know that any number raised to zero is 1,
So, for equality to be true:
Answer:
Given:
The data points are:
(1, 0), (2, 3), (3,1), (4,4), (5,5)
To find:
The equation of best fit line in the form of and then find the value of b.
Solution:
The general form of best fit line is:
...(i)
Where, m is the slope of best fit line and b is the y-intercept of the line.
Using the graphing calculator, we get the equation for the best fit line and the equation is
...(ii)
On comparing (i) and (ii), we get
Therefore, the value of b is equal to -0.7.
