Answer:
Option E) 2.68; The regression line under predicts the student's English test score.
Step-by-step explanation:
We are given the following information:
The IQ scores and English test scores of fifth grade students is given by the regression line
where y is the predicted English score and s is the IQ score.
Here English score is the predicted variable that is the dependent variable and the IQ score is the independent variable and plays the role of predictor.
An actual English test score for a student is 65.7 with an IQ of 96. We have to predict the English score with the help of regression equation.
Predicted or interpreted English score =
Thus, predicted English score is 63.0216.
Observed value of English score at IQ 96 is 65.7
Residual = Observed value - Predicted value
= 
Since the predicted value is less than the original or observed value we can say that the regression line under predict the English score.
Option E) 2.68; The regression line under predicts the student's English test score.
9514 1404 393
Answer:
A. 15x +14y = -36
Step-by-step explanation:
Since we are given two points, we can start with the 2-point form of the equation for a line.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (6 -(-9))/(-8 -6)(x -6) +(-9)
y = 15/-14(x -6) -9
Multiplying by -14, we have ...
-14y = 15x -90 +126
Adding 14y-36 to both sides gives ...
-36 = 15x +14y . . . . matches choice A
The standard-form equation is ...
15x +14y = -36
_____
<em>Additional comments</em>
It can be easier to start with the form ...
(Δy)x -(Δx)y = (Δy)x1 -(Δx)y1 . . . . . where Δx = x2-x1 and Δy = y2-y1
This gives ...
(6+9)x -(-8-6)y = 15(6) +14(-9)
15x +14y = -36 . . . simplified
__
You can also start with the slope-intercept form or the point-slope form, if you're more familiar with those. The result will be the same. I find it handy to be familiar with a number of different forms of the equation for a line.
Answer:
6
Step-by-step explanation:
Answer:
The true statements are A and D
Step-by-step explanation:
4 (3(3) + 4) is 52, while 16(3) + 12 is 60
that would not be equivalent in w = 3 but it would in w = 1
