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 15 25 35 50 72 105 68.3 67.4 67.0 66.2 65.8 63.4 Well-Being Index Score, y 5 69.2 (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. y=x+ (Round to three decimal places as needed.)

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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
15 25 35 50 72 105
68.3 67.4 67.0 66.2 65.8 63.4
Well-Being Index Score, y
5
69.2
(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.
y = x+ ( D
(Round to three decimal places as needed.)
Transcribed Image Text: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 15 25 35 50 72 105 68.3 67.4 67.0 66.2 65.8 63.4 Well-Being Index Score, y 5 69.2 (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. y = x+ ( D (Round to three decimal places as needed.)
Expert Solution
Step 1

 

x y X-Mx Y-My (X-Mx)2 (X-Mx)(Y-My)
5 69.2 -38.8571 2.4429 1509.8776 -94.9224
15 68.3 -28.8571 1.5429 832.7347 -44.5224
25 67.4 -18.8571 0.6429 355.5918 -12.1224
35 67 -8.8571 0.2429 78.449 -2.151
50 66.2 6.1429 -0.5571 37.7347 -3.4224
72 65.8 28.1429 -0.9571 792.0204 -26.9367
105 63.4 61.1429 -3.3571 3738.449 -205.2653
M:43.8571 M:66.7571     SS : 7344.8571 SP : -389.3429
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