escYou may need to use the appropriate technology to answer this question.A sample of 23 families was taken for a study. The objective of the study was to estimate the factors that determine the monthly expenditure (in dollars) on food for families. The independent variables included inthe analysis were the number of members in the family (x₁), the number of meals eaten outside (x₂), and a dummy variable (x3) that equals 1 if a family member is on a diet and equals 0 if there is no familymember on a diet. The following regression results were obtained.ŷ =Intercept?X1X2ANOVAHo:X3CoefficientsRegressionResidual (Error)f2474.3151.9413.72-1.12df(a) Write out the estimated regression equation.Standard ErrorSS1,852.5056.63,188.25 1,062.75圓*****9.82.816.0474.31 +51.94x₁ + 13.72x2-1.12x3(b) Interpret all coefficients.An additional member in the family increases the monthly expenditure in dollars on average by $51.94monthly expenditure on food in dollars on average by $ 13.72family member is on a diet.f5MS(c) Test for the significance of B₁ at the 1% level of significance.State the null and alternative hypotheses. (Enter != for = as needed.)B₁=097.50Jf64-f7♫+holding all other variables constant. An additional meal eaten outside increases the✓, holding all other variables constant. The monthly food expenditures in dollars decrease on average by $ 1.12✔ if af8KAAfg6DIIf10DDIf11f12insertprt scdeletehomeend1:56 PM12/3/2022pg up5+pg dn escYou may need to use the appropriate technology to answer this question.A sample of 23 families was taken for a study. The objective of the study was to estimate the factors that determine the monthly expenditure (in dollars) on food for families. The independent variables included inthe analysis were the number of members in the family (x₁), the number of meals eaten outside (x₂), and a dummy variable (x3) that equals 1 if a family member is on a diet and equals 0 if there is no familymember on a diet. The following regression results were obtained.ŷ =Intercept?X1X2ANOVAHo:X3CoefficientsRegressionResidual (Error)f2474.3151.9413.72-1.12df(a) Write out the estimated regression equation.Standard ErrorSS1,852.5056.63,188.25 1,062.75圓*****9.82.816.0474.31 +51.94x₁ + 13.72x2-1.12x3(b) Interpret all coefficients.An additional member in the family increases the monthly expenditure in dollars on average by $51.94monthly expenditure on food in dollars on average by $ 13.72family member is on a diet.f5MS(c) Test for the significance of B₁ at the 1% level of significance.State the null and alternative hypotheses. (Enter != for = as needed.)B₁=097.50Jf64-f7♫+holding all other variables constant. An additional meal eaten outside increases the✓, holding all other variables constant. The monthly food expenditures in dollars decrease on average by $ 1.12✔ if af8KAAfg6DIIf10DDIf11f12insertprt scdeletehomeend1:56 PM12/3/2022pg up5+pg dn

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