Subtract polynomials (intro)
1 answer:
Answer:
The result in standard form is:
Step-by-step explanation:
Given the polynomials
- -5t+ 4t² – t
- 8t² + t
subtracting 8t² + t from -5t+ 4t² – t.
Remove parenthese: (-a) = -a
i.e. - (8t² + t) = 8t² - t
so the expression becomes
grouping the like terms
Add similar elements: 4t² - 8t² = -4t²
Add similar elements: -5t - t - t = -7t
Therefore, the result in standard form is:
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Answer:
a)
b) Figure attached
c)
Step-by-step explanation:
We assume that th data is this one:
x: 30, 30, 30, 50, 50, 50, 70,70, 70,90,90,90
y: 38, 43, 29, 32, 26, 33, 19, 27, 23, 14, 19, 21.
a) Find the least-squares line appropriate for this data.
For this case we need to calculate the slope with the following formula:
Where:
So we can find the sums like this:
With these we can find the sums:
And the slope would be:
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by:
b) Plot the points and graph the line as a check on your calculations.
For this case we can use excel and we got the figure attached as the result.
c) Calculate S^2
In oder to calculate S^2 we need to calculate the MSE, or the mean square error. And is given by this formula:
The degred of freedom for the error are given by:
We can calculate:
And now we can calculate the sum of squares for the regression given by:
We have that SST= SSR+SSE, and then SSE=SST-SSR= 792-601.67=190.33[/tex]
So then :
