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Lumen OHM Here is a data set in which you believe y to be the response variable. X у 58.7 30.8 188.3 31.2 59.8 33.7 60.2 54.6
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Answer #1

​​​​​​solution:

scatter plot :

with outlier:

Y Values X Valueswithout outlier:

Y Values X Values

outlier lies at 188.3 and 31.2

b)

​​​Regression equation without outlier :after calculation we got

Sum of X = 1118.7
Sum of Y = 963.7
Mean X = 55.935
Mean Y = 48.185
Sum of squares (SSX) = 1682.4255
Sum of products (SP) = -1945.9395

Regression Equation = ŷ = bX + a

b = SP/SSX = -1945.94/1682.43 = -1.15663

a = MY - bMX = 48.19 - (-1.16*55.94) = 112.88096
the regression line equation:

ŷ = -1.15663X + 112.88096

​​​c) Regression equation with outlier :

Sum of X = 1307
Sum of Y = 994.9
Mean X = 62.2381
Mean Y = 47.3762
Sum of squares (SSX) = 18368.6095
Sum of products (SP) = -4087.101

Regression Equation = ŷ = bX + a

b = SP/SSX = -4087.1/18368.61 = -0.2225

a = MY - bMX = 47.38 - (-0.22*62.24) = 61.22446
The regression equation with outlier

ŷ = -0.2225X + 61.22446

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