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Use the data in the table below to complete parts​ (a) through​ (d). x 38 33...

Use the data in the table below to complete parts​ (a) through​ (d). x 38 33 41 47 44 50 59 54 52 y 21 20 24 29 26 27 25 21 24 LOADING... Click the icon to view details on how to construct and interpret residual plots. ​(a) Find the equation of the regression line. ModifyingAbove y with caret equals nothing x plus left parenthesis nothing right parenthesis ​(Round to three decimal places as​ needed.)

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Answer #1

a.

Sum of X = 418
Sum of Y = 217
Mean X = 46.4444
Mean Y = 24.1111
Sum of squares (SSX) = 546.2222
Sum of products (SP) = 77.5556

Regression Equation = ŷ = bX + a

b = SP/SSX = 77.56/546.22 = 0.1420

a = MY - bMX = 24.11 - (0.14*46.44) = 17.5167

ŷ = 0.1420X + 17.5167

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