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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Answer:
Since length and width are perpendicular, Doubling either one will double the area. So Doubling both will quadruple the area. 2x2 = 4.
This idea works if the dimensions doubled are those that are used to compute area. Like the base and height of a triangle.
More generally, in a polygon, if all the sides are doubled, the area is multiplied by 4. In a circle, Doubling the radius will quadruple the area.
In 3 dimensions, Doubling one dimension will double the VOLUME. Doubling two perpendicular dimensions will quadruple the volume and Doubling 3 perpendicular dimensions will multiply the volume by 2x2x2 or 8.
Step-by-step explanation:
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Answer:
AAS, the two equal angles, the two right triangles, and the shared side
Step-by-step explanation:
The lines are in the same plane but never intersect
