Question 2 In Exercises 14.38 through 14.43, we give the total variation, the unexplained variation (SSE), and the least squares point estimate b, that are obtained when simple linear regression is used to analyze the data set related to each of six previously discussed case studies. Using the information given in each exercise, find the explained variation, the simple coefficient of determination (²), and the simple correlation coefficient (r). Interpret r². 14.38 THE NATURAL GAS CONSUMPTION CASE OS GasCon1 Total variation = 25.549; SSE = 2.568; b₁ = -12792 14.39 THE STARTING SALARY CASE OS StartSal Total variation = 61.380; SSE = 1.438; b₁ = 5.7066 14.40 THE SERVICE TIME CASE DS SrvcTime Total variation = 20,110.5455; SSE = 191.7017; b₁ = 24.6022
Question 2 In Exercises 14.38 through 14.43, we give the total variation, the unexplained variation (SSE), and the least squares point estimate b, that are obtained when simple linear regression is used to analyze the data set related to each of six previously discussed case studies. Using the information given in each exercise, find the explained variation, the simple coefficient of determination (²), and the simple correlation coefficient (r). Interpret r². 14.38 THE NATURAL GAS CONSUMPTION CASE OS GasCon1 Total variation = 25.549; SSE = 2.568; b₁ = -12792 14.39 THE STARTING SALARY CASE OS StartSal Total variation = 61.380; SSE = 1.438; b₁ = 5.7066 14.40 THE SERVICE TIME CASE DS SrvcTime Total variation = 20,110.5455; SSE = 191.7017; b₁ = 24.6022
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
Transcribed Image Text:Question 2
In Exercises 14.38 through 14.43, we give the total variation, the unexplained variation (SSE), and the
least squares point estimate b, that are obtained when simple linear regression is used to analyze the data
set related to each of six previously discussed case studies. Using the information given in each exercise,
find the explained variation, the simple coefficient of determination (r²), and the simple correlation
coefficient (r). Interpret r².
14.38 THE NATURAL GAS CONSUMPTION CASE DS GasCon1
Total variation = 25.549; SSE = 2.568; b₁ = .12792
14.39 THE STARTING SALARY CASE DS StartSal
Total variation = 61.380; SSE = 1.438; b₁ = 5.7066
14.40 THE SERVICE TIME CASE OS SrvcTime
Total variation = 20,110.5455; SSE = 191.7017; b₁ = 24.6022
14.41
THE FRESH DETERGENT CASE OS Fresh
Total variation = 13.459; SSE = 2.806; b₁ = 2.6652
14.42 THE DIRECT LABOR COST CASE DS DirLab
Total variation = 1,025,339.6667; SSE = 746.7624; b₁ = 10.1463
14.43 THE REAL ESTATE SALES PRICE CASE DS RealEst
Total variation = 7447.5; SSE = 896.8; b₁ = 5.7003
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