Tasha collected another set of data values, and used a calculator for the engine speed and horsepower data. She got an equation for the least-squares line: ŷ = 10 + 30x.
If Tasha uses this equation to predict horsepower from engine speed, the horsepower associated with an engine speed of 2.5 would be __________.
10+30*2.5
17
To predict the horsepower associated with an engine speed of 2.5 using the equation ŷ = 10 + 30x, we can substitute x = 2.5 into the equation and solve for ŷ.
ŷ = 10 + 30(2.5)
ŷ = 10 + 75
ŷ = 85
Therefore, the horsepower associated with an engine speed of 2.5 would be 85.
To find the predicted horsepower associated with an engine speed of 2.5, we can substitute 2.5 for x in the equation ŷ = 10 + 30x.
Let's calculate it step by step:
1. Substitute x = 2.5 into the equation:
ŷ = 10 + 30(2.5)
2. Multiply 30 by 2.5:
ŷ = 10 + 75
3. Add 10 and 75:
ŷ = 85
Therefore, the predicted horsepower associated with an engine speed of 2.5 is 85.