First, recall that
So if , then
.
Second,
We know that and
, which means we should also have
.
Third,
but as we've already shown, we need to have , so we pick the negative root.
Finally,
Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.
The equation of line is y = 92x – 182631. The slope is 92 and the y-intercept is the negative 182631. And the health expenditure in 2010 will be 2289.
<h3>What is the equation of a line passing through two points?</h3>Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by
In MODE, (second line), fix the number of decimal places to be 2.
Then the slope and the y-intercept values of the Lin Reg line will round to the nearest hundredth.
(x₁, y₁) → (1997, 1093)
(x₂, y₂) → (2002, 1553)
Then we have
y – 1093 = [(1553 – 1093) / (2002 – 1997)] (x – 1997)
y – 1093 = [460 / 5] (x – 1997)
y – 1093 = 92 (x – 1997)
y = 92x – 182631
If x = 2010, then the value of y will be
y = 92 × 2010 – 182631
y = 184920 – 192631
y = 2289
Learn more about straight-line equations here:
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