A consumer advocacy group was interested in the cost of hiring a removalist and

Question

A consumer advocacy group was interested in the cost of hiring a removalist and how that related to the distance from source to destination. A random sample of removalist jobs was obtained, with the costs and distances summarised below Plot of the data ? Scatterplot of Cost vs Distanoe Numeric summary of the data n32 Sxy = 3866874.50 1200 Distance (km) = 642.97 5x = 350.7 Sx 3812895 y= 120794 Sy 462.9 Syy 6642480 Residual Plots for Cost SSReg-3921618 SSErr 2720862 Normal Probability Plt Versus Fits Diagnostic plots of the residuals> Some Minitab output Regression Analysis: Cost versus Distance The regression equation is Cost 556 + 1.01 Distance Predictor Constant Coef SE Coef 555.9 112.6 4.94 0.000 Distance 1.0142 0.1542 0.000 S 301.157 R-Sq 59.0% R-Sq (adj ) -57.7% -

Explanation / Answer

Solutionf(i)

Reg eq is

cost=556+1.01(distancE)

For distance=584,substitute in Reg eq above.

cost=556+1.01(584)

cost=1145.84

Solutionf(ii)

Residual =observed-predicted

observed is 1125.6

predicted=1145.84

Residual=1125.6-1145.84

observed Residual=-20.24

SOlutionfiii:

since observed c0st was less compared to predicted cost

job cost was less than expected.

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