What is the OLS estimated linear regression equation with an

What is the OLS estimated linear regression equation with annual income and household size as the regressors? Perform the t tests on the estimated coefficients to determine whether or not the constant is needed and the two independent variables are acceptable

Solution

excel is used for the analysis

in the above table all p values are lesser than 0.05, hence the two regressors are significant.

Regression Analysis
0.820
Adjusted R² 0.812 n   50
R   0.905 k   2
Std. Error   407.401 Dep. Var. amount charged
ANOVA table
Source SS   df   MS F p-value
Regression 35,482,612.4048 2   17,741,306.2024 106.89 3.25E-18
Residual 7,800,864.4152 47   165,975.8386
Total 43,283,476.8200 49  
Regression output confidence interval
variables coefficients std. error    t (df=47) p-value 95% lower 95% upper
Intercept 1,284.7149 202.2775 6.351 7.90E-08 877.7851 1,691.6447
income 34.4784 4.0607 8.491 4.76E-11 26.3093 42.6475
houehold sizze 348.6039 33.9774 10.260 1.39E-13 280.2502 416.9576
What is the OLS estimated linear regression equation with annual income and household size as the regressors? Perform the t tests on the estimated coefficients

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