The data below represent commute times (in minutes) and scores on a well-being survey. complete parts (a) through (d) below. commute time (minutes), x 5 15 30 40 60 84 105 well-being index score, y 69.1 68.0 66.8 66.1 64.9 64.1 62.0 (a) find the least-squares regression line treating the commute time, x, as the explanatory variable and the index score, y, as the response variable.

b

2

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b

b

3

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7

b

2

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14

b

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6

%

−

3

b

3

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7

b

2

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14

b

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6

%

step-by-step explanation:

goog may have it for you

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)