Listed below are altitudes (thousands of feet) and outside air temperatures (°f) recorded during a flight. find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. there is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. for the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet).

a. find the explained variation

altitude temperature
3 56
11 33
14 28
21 -1
28 -35
31 -41
33 -53

answer: the answer is 127 degrees

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

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