Question

For two variables satisfying Assumptions $1-3$ for regression inferences, the population regression equation is $y=20-3.5x$. For samples of size $10$ and given values of the predictor variable, the distribution of slopes of all possible sample regression lines is a --------distribution with mean------- .

Short answer

The distribution of slopes of all possible sample regression lines is a normal distribution with mean $-3.5$.

Step-by-step solution

Given Information

$y=20-3.5x$ is the equation for population regression.

Explanation

A normal distribution with a mean of $-3.5$ exists for the slopes of all potential sample regression lines.