Question: I'm trying to understand coefficients in a multiple regression. Below are the coefficient numbers. Intercept for Cost of Living Index 35.63950178 Rent -0.003212852 Monthly Public

I'm trying to understand coefficients in a multiple regression. Below are the coefficient numbers.

Intercept for Cost of Living Index 35.63950178

Rent -0.003212852

Monthly Public Transportation 0.299650003

Loaf of Bread 16.59481787

Milk 2.912081706

Bottle of Wine -0.889805486

Coffee -2.527438053

Do I understand this correctly, if any of the independent variables increase by one, then the coefficient is how much the cost of living index moves? For example, if the loaf of bread increases by one, then the cost of living goes up by 16.5948. If rent increases, then the cost of living goes down by - .0032? It doesn't seem right that an increase in rent would lower the cost of living index, but bread will. That's why I think I'm looking at this wrong.

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