The slope of the line of best fit to the raw-score scatter plot is 0.98
- The equation is y = 0.98x - 3.74
- The value of y given that x = 12 is 8.02
<h3>How to determine the slope of the line?</h3>
From the question, we have the following parameters that can be used in our computation:
- Standard deviations of X, Sx = 1.88
- Standard deviations of Y, Sy =2.45
- Correlation coefficient, r between X and Y = 0.75
The slope (b) of the line is calculated as
b = r * Sy/Sx
Substitute the known values in the above equation, so, we have the following representation
b = 0.75 * 2.45/1.88
Evaluate
b = 0.98
<h3>The equation of the line of best fit</h3>
A linear equation is represented as
y = bx + c
Where
Slope = b
y-intercept = c
In (a), we have
b = 0.98
So, we have
y = 0.98x + c
Recall that the point (13, 9) is on the line of best fit.
So, we have
9 = 0.98 * 13 + c
This gives
9 = 12.74 + c
Evaluate
c = -3.74
So, we have
y = 0.98x - 3.74
<h3>The value of y from x</h3>
Here, we have
x = 12
So, we have
y = 0.98 x 12 - 3.74
Evaluate
y = 8.02
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Write the two fractions as improper fractions
4 2/3 is 14/3
<span>4 1/5</span> is 21/5
rewrite
14/3 <span>÷ 21/5
since it is pretty complicated to divide two fractions,
you change it to multiplication
keep the first fraction, change the division sign to multiplication, then flip the second fraction
(you can remember KEEP, CHANGE, FLIP whenever dealing with division of fractions :) )
14/3 * 5/21
multiply across
(14 * 5) / ( 3 * 21)
</span>70/ 63
simplify to 10/9
this can be written as 1 1/9
Hope this helps
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Now,
Since
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Since
belongs to the first quadrant, you take the positive root (
for
in quadrant I). Then
is also positive for
in quadrant I, so you take the positive root again. You're left with
Answer:
Choice A: x^2−2x+4− 15/x+2
Step-by-step explanation:
Answer:
-36x+114
Step-by-step explanation:
