When using simple linear regression,we would like to use confidence intervals for the _____ and prediction intervals for the _____ at a given value of x.
A)individual y-value,mean y-value
B)mean y-value,individual y-value
C)slope,mean slope
D)y-intercept,mean y-intercept
E)mean x-value,mean slope

Question

Quizplus · Accepted Answer

Confidence intervals are used to estimate the mean y-value at a given value of x, while prediction intervals are used to estimate individual y-values at a certain value of x. Therefore, we would like to use confidence intervals for the mean y-value and prediction intervals for the individual y-value when using simple linear regression. This is because confidence intervals focus on estimating the average response value, while prediction intervals focus on estimating the range of possible outcomes for a specific individual.

When Using Simple Linear Regression,we Would Like to Use Confidence