(a)
To find: Make a table of the usage of gas foe every month.
The table is given.
Given information:
The given data is below:
Given that temperature for January is taken as
The consumption of gas is denoted by
The table is given below:
Temperature(y1) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
Gas consumption(y2) | 20,000 | 27000 | 23000 | 22000 | 21000 | 14000 | 8000 | 9000 | 13000 | 15000 | 19000 | 23000 |
(b)
To find: Use the values of in part
The model of the trigonometric function is
Given information:
The given data is below:
Temperature(y1) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
Gas consumption(y2) | 20,000 | 27000 | 23000 | 22000 | 21000 | 14000 | 8000 | 9000 | 13000 | 15000 | 19000 | 23000 |
The graph using the above data is below:
The model of sinusoidal equation is:
Here ,
From the graph it is clear that
Period of the graph is
The vertical shift is given by the formula
Apply the formula
Substitute the value of
Horizontal shift is given as
The model of the function is given by substituting the above found value in
This is the required function.
(b)
To find: Graph the two regression equation in the same plane.
The graph is given.
Given information:
The given data is below:
Temperature(y1) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
Gas consumption(y2) | 20,000 | 27000 | 23000 | 22000 | 21000 | 14000 | 8000 | 9000 | 13000 | 15000 | 19000 | 23000 |
The given data is fit into the sinusoidal equation then regression equation becomes:
The graph of the equation
It is observed that the graph
Chapter 10 Solutions
Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)
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