Answer:
residual value = 0.0749.
the residual is positive, the actual winning percent for this team is more than what is predicted by the regression line.
Step-by-step explanation:
By the least squares regression equation
Predicted Value = ^y^=2.94X - 0.4873
The residual is the difference between the observed value and the predicted value of y. So, when x = 0.3260,
the regression line predicts ^y^ = 2.94(0.3260) - 0.4873 = 0.47114.
The observed value of y is 0.5460.
Therefore, residual = 0.5460 - 0.4711= 0.0749.
Since the residual is positive, the actual winning percent for this team is more than what is predicted by the regression line.
The Answer is B: see attachment for steps
Answer:
13.5x - 5
Step-by-step explanation:
Answer:
![\frac{4}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B11%7D)
Step-by-step explanation:
The reciprocal of a number n is ![\frac{1}{n}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bn%7D)
Given
2
← convert to an improper fraction
= ![\frac{11}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B4%7D)
Reciprocal is
= ![\frac{4}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B11%7D)
Answer:
1) x ≤ 2 or x ≥ 5
2) -6 < x < 2
Step-by-step explanation:
1) We have x^2 - 7x + 10, so let's factor this as if this were a regular equation:
x^2 - 7x + 10 = (x - 2)(x - 5)
So, we now have (x - 2)(x - 5) ≥ 0
Let's imagine this as a graph (see attachment). Notice that the only place that is above the number line is considered greater than 0, and that's when x ≤ 2 or x ≥ 5 (the shaded region).
2) Again, we have x^2 + 4x - 12, so factor this as if this were a regular equation:
x^2 + 4x - 12 = (x + 6)(x - 2)
So now we have (x + 6)(x - 2) < 0
Now imagine this as a graph again (see second attachment). Notice that the only place that is below 0 (< 0) is when -6 < x < 2 (the shaded region).
Hope this helps!