The equation for the line of best fit, the good approximation for x when f(x) = 30 is 20.
Given that
The equation for the line of best fit is f(x) = 1.8x − 5.4 for the set of values in the table.
A 2-column table with 7 rows.
The first column is labeled x with entries 4, 5, 6, 6, 8, 9, 10.
The second column is labeled f(x) with entries 5, 2, 5, 6, 8, 7, 18.
We have to determine
Using the equation for the line of best fit, what is a good approximation for x when f(x) = 30?
According to the question
The quadratic regression equation can be expressed as;
Then,
The approximation for x when f(x) = 30 is,
Hence, the equation for the line of best fit, the good approximation for x when f(x) = 30 is 20.
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