Answer:
And the difference is given by:
Step-by-step explanation
We assume that th data is this one:
x: 242-255 -227-251-262-207-140
y: 91- 81 -91 - 92 - 102 - 94 - 91
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:
Now 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:
The prediction for 253 seconds is:
And the difference is given by:
Answer:
Step-by-step explanation:
(a) A parameter of a population measures the characteristics of the population, In the question the proportion of all the persons who have health insurance and the mean of the entire dollar amount that Americans spent on health care in the past year measure the population.
Invariably, the proportion of persons having health insurance, and the mean dollars spent on health care for all Americans are the population parameter
(b) A statistics measure the characteristics of the sample.
In the question, the sample of 1500 Americans are considered to estimate the proportion of all Americans, proportion of all the persons who have health insurance among 1500 and the sample mean of all the dollar amounts that the selected Americans spent on healthy care in the past year describe the sample.
Invariably, the sample proportion of persons having health insurance, and the mean dollars spent on health care for 1500 selected Americans are sample statistics
For ax^2+bx+c
when a=1
take 1/2 of b and square it
that is what c should be ideally
p^2-30p=c
-30/2=-15
(-15)^2=225
c=225
(p-15)^2 is factored form
k^2-5k+c
-5/2
(-5/2)^2=25/4
c=25/4
factored form is (x-5/2)^2
2.
EXPLANATION:
If g= 3 we can replace g with 3.
Now we have h-5 x 3
and if h= 17, we can replace h with 17.
Now we have 17 - 5 x 3.
because of pemdas, multiplication is first
5 x 3 is 15,
17 - 15 is 2.
2.
Instead of using the quotient rule, you can first expand <em>y</em> :
<em>y</em> = (4<em>x</em> - 1)^2 / <em>x</em> ^2 = (16<em>x</em> ^2 - 8<em>x</em> + 1) / <em>x</em> ^2 = 16 - 8/<em>x</em> + 1/<em>x</em> ^2
Then the derivative is
d<em>y</em>/d<em>x</em> = -8/<em>x</em> ^2 - 2/<em>x</em> ^3
The tangent to the curve at (-1, 25) then has a slope or gradient of
d<em>y</em>/d<em>x</em> = -8/(-1)^2 - 2/(-1)^3 = -6
