You decide to predict gasoline prices in different cities and towns in the Unite

Question

You decide to predict gasoline prices in different cities and towns in the United States for your term project. Your dependent variable is price of gasoline per gallon and your explanatory variables are per capita income, the number of firms that manufacture automobile parts in and around the city, the number of new business starts in the last year, population density of the city, percentage of local taxes on gasoline, and the number of people using public transportation. You collected data of 32 cities and obtained a regression sum of squares SSR = 122.8821. Your computed value of standard error of the estimate is 1.9549. 15. Referring to Table 12-9, if variables that measure the number of new business starts in the last year and population density of the city are removed from the multiple regression model, which of the following is true?

a. The adjusted r2 will definitely increase.

b. The adjusted r2 can never increase.

c. The coefficient of multiple determination can never increase.

d. The coefficient of multiple determination will definitely increase.

Explanation / Answer

You decide to predict gasoline prices in different cities and towns in the United States for your term project. Your dependent variable is price of gasoline per gallon and your explanatory variables are per capita income, the number of firms that manufacture automobile parts in and around the city, the number of new business starts in the last year, population density of the city, percentage of local taxes on gasoline, and the number of people using public transportation. You collected data of 32 cities and obtained a regression sum of squares SSR = 122.8821. Your computed value of standard error of the estimate is 1.9549.

if variables that measure the number of new business starts in the last year and population density of the city are removed from the multiple regression model, which of the following is true?

Here c) option is correct.

c. The coefficient of multiple determination can never increase.

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