The Regression Equation Suppose in this semester, our Exam 1 average was about 85 with an SD of about 12. Suppose the correlatio
1 answer:
Answer:
0.410
Step-by-step explanation:
We are predicting exam 2 scores from exam 1 scores so the dependent variable y is exam 2 scores and independent variable is exam 1 scores x.
The regression equation is
y=a+bx
Where y is exam 2 scores and x is exam 1 scores.
We are given that
correlation coefficient=r=0.6.
Mean and standard deviation of x are xbarx=85 and Sx=12.
Mean and standard deviation of y are xbary=82 and Sy=8.2.
The slope b for this scenario can be found as
Thus, the slope of the regression equation for predicting Exam 2 scores from Exam 1 scores is 0.410.
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Answer:
Step-by-step explanation:
Which system of equations has infinitely many solutions?
4 x + 2 y = 5 // -4x - 2y = 1
-10x + y = 4 // 10x - y = -4.
-8x + y = 2 // 8x-y = 0.
-x + 2 y = 6 // 7x-2y = 12.
It's important to know that a linear system of equations has infinitely many solutions when both equations represents the same line, that means one line is on top of the other one, that's why the shared infinite points.
In this case, notice that if we compare the second system, you would find that both equations are the same,
If we multiply the first equation by -1
Which means the system has infinitely many solutions, because both equations represent the same line, so the shared all possibles points.
Therefore, the right answer is the second choice.