A researcher is investigating possible explanations for deaths in traffic accidents.He examined data from 1991 for each of the 50 states plus Washington,DC.The data included information on the following variables. As part of his investigation he ran the multiple regression model, Deaths = $\beta$₀ + $\beta$₁(Children)+ $\beta$₂(Income)+ $\varepsilon$_i, Where the deviations $\varepsilon$_i were assumed to be independent and Normally distributed with a mean of 0 and a standard deviation of $\sigma$.This model was fit to the data using the method of least squares.The following results were obtained from statistical software. The researcher also ran the simple linear regression model Deaths = $\beta$₀ + $\beta$₂(Income)+ $\varepsilon$_i. The following results were obtained from statistical software: What can we conclude regarding the meaningfulness of the analyses? A)They are very meaningful because the results are based on a very large sample consisting of the people in all 50 states as well as Washington,DC. B)They are meaningful because R² for the multiple regression model is quite large,suggesting that the model fits well and the assumptions about the model are reasonable. C)They are moderately meaningful because the results are based on a fairly large sample and they are at least consistent with what one would expect.They would be very meaningful if,in addition,we had examined the residuals and found no outliers or influential observations. D)They are not necessarily meaningful because these results are based on available data.

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The Answer of A researcher is investigating possible explanations for deaths in traffic accidents.He examined data from 1991 for each of the 50 states plus Washington,DC.The data included information on the following variables. As part of his investigation he ran the multiple regression model, Deaths = $\beta$₀ + $\beta$₁(Children)+ $\beta$₂(Income)+ $\varepsilon$_i, Where the deviations $\varepsilon$_i were assumed to be independent and Normally distributed with a mean of 0 and a standard deviation of $\sigma$.This model was fit to the data using the method of least squares.The following results were obtained from statistical software. The researcher also ran the simple linear regression model Deaths = $\beta$₀ + $\beta$₂(Income)+ $\varepsilon$_i. The following results were obtained from statistical software: What can we conclude regarding the meaningfulness of the analyses? A)They are very meaningful because the results are based on a very large sample consisting of the people in all 50 states as well as Washington,DC. B)They are meaningful because R² for the multiple regression model is quite large,suggesting that the model fits well and the assumptions about the model are reasonable. C)They are moderately meaningful because the results are based on a fairly large sample and they are at least consistent with what one would expect.They would be very meaningful if,in addition,we had examined the residuals and found no outliers or influential observations. D)They are not necessarily meaningful because these results are based on available data.

A Researcher Is Investigating Possible Explanations for Deaths in Traffic β\betaβ

A Researcher Is Investigating Possible Explanations for Deaths in Traffic $\beta$