Which of the following is the purpose of a confidence interval for the fitted (predicted value) from a
regression model?

a) to estimate the value of a future observation for a given value of x.

b) to estimate the population mean of y for a given value of x

c) to estimate the population slope of the regression model

d) to estimate the sample mean of y for a given value of x.

option A is correct

Step-by-step explanation:

the prediction interval is to cover a “moving target”, the random future value of y,

while the confidence interval is to cover the “fixed target”,

the average (expected) value of y, E(y).

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

a and c

step-by-step explanation: