Answer:
The standard deviation of the residuals calculates how much the data points spread around the regression line. The result is used to measure the error of the regression line's predictability.
Step-by-step explanation:
<h2>How do you find the standard deviation around the regression line?</h2>
STDEV. S(errors) = (SQRT(1 minus R-squared)) x STDEV. S(Y). So, if you know the standard deviation of Y, and you know the correlation between Y and X, you can figure out what the standard deviation of the errors would be be if you regressed Y on X.
<h2>What does standard deviation tell you?</h2>
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Answer:
Exact Area = 24pi square cm
Approximate Area = 75.36 square cm (when using pi = 3.14)
Note: "square cm" can be abbreviated to "cm^2" without quotes.
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Explanation:
Let's find the area of the full circle with radius r = 12
A = pi*r^2
A = pi*12^2
A = 144pi
This is the exact area of the full circle in terms of pi. To get the approximate area, you would replace pi with something like 3.14 (though you could use more decimal digits in pi to get a more accurate area).
We found the area of the full circle, but we only want a pie slice of it. Each slice is 60 degrees, out of 360 total. So that means we want 60/360 = 1/6 of the full area.
In other words, there are 6 slices because 360/60 = 6, which means we'll divide the area we got by 6
(144pi)/6 = (144/6)pi = 24pi
The exact area of the pie slice is 24pi square cm
If you used the approximation pi = 3.14, then that leads to an approximate answer of 24*pi = 24*3.14 = 75.36 square cm
Step-by-step explanation:
x + y = 9. => 2x + 2y = 18.
2x + 2y = 18
- (2x - 3y = -12)
=> 5y = 30, y = 6.
Therefore x + (6) = 9, x = 3.
The solution is x = 3 and y = 6.
Answer:
a. Given a number of tablespoons, find the number of cups:
1. Since he needs 2 cups, he can use 2×16=32 tablespoons.
2.Since he needs 1/2 cup, he can use 1/2×16=8 tablespoons.
He needs 1 1/4 cups. 1 cup is 16 tablespoons. 1/4 cup is 1/4×16=4 tablespoons. So altogether he needs 16+4=20 tablespoons.Given a number of cups, find the number of tablespoons:
I already found that 20 tablespoons is 1 1/4 cups. So for 28 tablespoons I need an additional 8 tablespoons, or an additional 1/2 cup. 1 1/4+1/2=1 3/4, so 28 tablespoons gets him 1 3/4 cups. (Alternatively, we might say that 1 tablespoon is 1/16 cups. 1/16×28=28/16, which we can rewrite as 1 12/16 or 1 3/4.)
I notice that to convert from tablespoons to cups, I always divide by 16. 6÷16=6/16, which we can write as 1 3/8. (Alternatively, 1 tablespoon is 1/16 cups. 1/16×6=6/16, which we can rewrite as 1 3/8.)
Step-by-step explanation:
