(a) State the model equation. COST=0+1PAPER+2MACHINE+3OVERHEAD+4LABOR LABOR=D+1COST+2MACHINE+3 OVERHEAD +4LABOR COST =1 PAPER +2 MACHINE +3 OVERHEAD +4 LABOR LABOR =1 PAPER +2 MACHINE +3 OVERHEAD +4 COST y^=0+1 PAPER +2 MACHINE +3 OVERHEAD +4 COST OVERHEAD =0+1 PAPER +2 MACHINE +3 COST +4 LABOR (b) What is the sample-based model coefficient for machine hours? Hint: Be mindful of the measurement units. (Enter your answers to two decimal places.) Interpret the model coefficient for machine hours (MACHINE) by mentally inserting the ABSOLUTE VALUE of the coefficient in the blanks below. According to the sample data, total machine hour increases on average by ! for every dollar spent on cost (assuming that no other explanatory variables are changing). According to the sample data, total machine hour decreases on average by \& for every dollar spent on cost (assuming that no other explanatory variables are changing). this claim. (Hint: Remember to take into account the measurement units of each variable.) Use a 10% level of significance. State the hypotheses to be tested. H0:2=1.5Ha:2=1.5H0:0=1.5Ha:0=1.5H0:1=1.5Ha:1=1.5H0:1=1.5Ha:1=1.5H0:2=1.5Ha:2=1.5 Interpret the hypotheses you specified above. H0 : The marginal cost associated with machine hours is NOT $1,500 after accounting for the effects of the other explanatory variables in the model, Ha : The marginal cost associated with machine hours is $1,500 after accounting for the effects of the other explanatory variables in the model. H0: The marginal cost associated with machine hours is $1,500 after accounting for the effects of the other explanatory variables in the model. Ha : The marginal cost associated with machine hours is NOT $1,500 after accounting for the effects of the other explanatory variables in the model. H0 : There is no linear relationship between monthly cost and machine hours after accounting for the effects of the other explanatory variables in the model. Ha : There is a linear relationship between monthly cost and machine hours after accounting for the effects of the other explanatory variables in the model. H0 : None of the explanatory variables are important in explaining/predicting monthly cost. Ha : At least one explanatory variable is important in explaining/predicting monthly cost. State the decision rule. Reject H0 if p0.10. Do not reject HD if p0.10. Reject H0 if p>0.05. Do not reject H0 if p0.05. Reject H0 if p0.10. Do not reject HD if p0.10. Reject H0 if p>0.05. Do not reject H0 if p0.05. Reject H0 if p