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Determine the standard error of the estimate. Syx=31.2058 (Round to four decimal places as needed.) c.How useful do you think this regression model is for predicting the cost of a meal? A.It is very useful for predicting the cost of a meal because the coefficient of determination is close to 1.The standard error of the estimate does not indicate whether a regression model is useful. O B.It is very useful for predicting the cost of a meal because the coefficient of determination is close to 1 and the standard error of the estimate is fairly small. O C.It is not very useful for predicting the cost of a meal because although the coefficient of determination is close to 1,the standard error of the estimate is fairly small. O D.It is not very useful for predicting the cost of a meal because the coefficient of determination is close to 0 and the standard error of the estimate is fairly large.

Question

Determine the standard error of the estimate. Syx=31.2058 (Round to four decimal places as needed.) c.How useful do you think this regression model is for predicting the cost of a meal? A.It is very useful for predicting the cost of a meal because the coefficient of determination is close to 1.The standard error of the estimate does not indicate whether a regression model is useful. O B.It is very useful for predicting the cost of a meal because the coefficient of determination is close to 1 and the standard error of the estimate is fairly small. O C.It is not very useful for predicting the cost of a meal because although the coefficient of determination is close to 1,the standard error of the estimate is fairly small. O D.It is not very useful for predicting the cost of a meal because the coefficient of determination is close to 0 and the standard error of the estimate is fairly large.

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Solution

The answer to this question depends on additional information that is not provided in the question. Specifically, we need to know the coefficient of determination (R^2) to assess the usefulness of the regression model for predicting the cost of a meal.

The standard error of the estimate (Syx) is a measure of the accuracy of predictions made with a regression line. In this case, Syx is 31.2058. A smaller standard error of the estimate indicates a tighter fit of the data to the regression line, but without knowing the context (i.e., the range of meal costs), it's hard to say whether this is small or large.

The coefficient of determination (R^2) indicates how well data fit a statistical model – a higher R^2 indicates a better fit. If R^2 is close to 1, it means that the model explains a large proportion of the variance in the dependent variable (cost of a meal in this case). If R^2 is close to 0, it means that the model does not explain much of the variance in the dependent variable.

So, without knowing the value of R^2, we cannot definitively answer this question. However, if we had to choose an answer based on the information provided, we would choose A. This is because the standard error of the estimate does not indicate whether a regression model is useful on its own.

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