A graphing calculator is a great help for problems of this nature.
x ∈ {-5.63, -0.55, 2.59}
x ∈ {-5.63, -0.55, 2.59}
The formula for estimating the number, N, of a certain product sold is N = 8800ln(7t + 9), where t is the number of years after
1 answer:
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Answer:
Step-by-step explanation:
We assume that th data is this one:
x: 50, 55, 50, 79, 44, 37, 70, 45, 49
y: 152, 48, 22, 35, 43, 171, 13, 185, 25
a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)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:
Check the picture below.
based on the equation, if we set y = 0, we'd end up with 0 = 0.5(x-3)(x-k).
and that will give us two x-intercepts, at x = 3 and x = k.
since the triangle is made by the x-intercepts and y-intercepts, then the parabola most likely has another x-intercept on the negative side of the x-axis, as you see in the picture, so chances are "k" is a negative value.
now, notice the picture, those intercepts make a triangle with a base = 3 + k, and height = y, where "y" is on the negative side.
let's find the y-intercept by setting x = 0 now,
now, we can plug those values on A = (1/2)bh,
