The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set.
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Answer:
The correct option is a.
Step-by-step explanation:
The general form of a quadratic regression equation is
[tex]y=ax^2+bx+c[/tex] ..... (1)
Using graphing calculator we get
[tex]a=-0.143393\approx -0.143[/tex]
[tex]b=0.59525\approx 0.595[/tex]
[tex]c=2.82964\approx 2.830[/tex]
Substitute these values in equation (1) to find the quadratic regression equation for this data set.
[tex]y=-0.143x^2+0.595x+2.830[/tex]
Therefore the correct option is a.