In using the multiple regression method, we can model the effects of the different levels of a qualitative independent variable
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F⁻¹(x) stands for the invers of function f(x). The inverse of f(x) is equal to x. We need to solve for x.
solve for x
f(x) = 2x + 2
2x + 2 = f(x)
2x = f(x) - 2
x =
f⁻¹(x) =
Determine the value of f⁻¹(x) when x = 4
f⁻¹(x) =
f⁻¹(4) =
f⁻¹(4) =
f⁻¹(4) = 1
When x = 4, the value of f⁻¹(x) is equal to 1
solve for x
f(x) = 2x + 2
2x + 2 = f(x)
2x = f(x) - 2
x =
f⁻¹(x) =
Determine the value of f⁻¹(x) when x = 4
f⁻¹(x) =
f⁻¹(4) =
f⁻¹(4) =
f⁻¹(4) = 1
When x = 4, the value of f⁻¹(x) is equal to 1
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
SEE ATTACHED IMAGE, PLEASE.
The first thing we must do for this case is to define variables.
n = number of 5k races covered
f = end time.
We have the following equation:
f = -1.2n + 38.1
We note that the slope of the line is:
m = -1.2 minutes per race
Therefore, the time decreases 1.2 minutes when the number of races increases n.
Answer:
The model predicts that for each additional race to runner has run, the finishing time decreases by about 1.2 minutes
SEE ATTACHED IMAGE, PLEASE.
The first thing we must do for this case is to define variables.
n = number of 5k races covered
f = end time.
We have the following equation:
f = -1.2n + 38.1
We note that the slope of the line is:
m = -1.2 minutes per race
Therefore, the time decreases 1.2 minutes when the number of races increases n.
Answer:
The model predicts that for each additional race to runner has run, the finishing time decreases by about 1.2 minutes