Question

In the least-squares line ŷ = 5 − 10x, what is the value of the slope? When x changes by 1 unit, by how much does ŷ change? When x increases by 1 unit, ŷ increases by 10 units. When x increases by 1 unit, ŷ decreases by 10 units. When x decreases by 1 unit, ŷ decreases by 10 units. When x increases by 1 unit, ŷ decreases by −10 units.

Answer 1

The slope of the least squares line is -10, meaning that y decreases by 10 units for every one-unit increase in x or for every one-unit decrease in x.

Step-by-step explanation:

The slope of the least-squares line is -10. This means that for every one-unit increase in x, y decreases by 10 units. On the other hand, when x decreases by 1 unit, y also decreases by 10 units.