Pens cost $p exercise books cost $b. Write an algebraic expression that represent the cost of purchasing 20 pens and 8 exercise
2 answers:
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The equation of the linear regression is
To determine the line of best fit, we make use of a graphing tool
See attachment for the graph of the line of best fit
<h3>The equation</h3>From the graphing tool, we have the following calculation summary
- Sum of X = 440
- Sum of Y = 3601.5
- Mean X = 44
- Mean Y = 360.15
- Sum of squares (SSX) = 1440
- Sum of products (SP) = 5157
The regression Equation is then represented as:
Where:
and
Also, we have:
So, the linear regression equation is:
Read more about linear regression at:
Via Lagrange multipliers:
At these points, we get local minima of
.
- - -
Another way to do this is to make
a function independent of 
, which is made possible by the constraint.
and so on.
At these points, we get local minima of
- - -
Another way to do this is to make
and so on.