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Dans une étude préliminaire sur les habitudes de consommation, on a obtenu, auprès de 30 familles, les données suivantes concernant  les dépenses (Y) (en centaines de dollars) pour les loisirs et le revenu annuel (X)(en milliers de dollars). Voici le rapport de régression (incomplet) pour ces données:    Quelle est la valeur de la statistique F calculée/observée ?

The value of the F-statistic can be found in the "Analyse de Variance" section of the regression report. 

To calculate the F-statistic, use the formula:
\[ F = \frac{\text{Moyenne des carrés de la régression}}{\text{Moyenne des carrés des résidus}} \]

From the report, we have:
- Moyenne des carrés de la régression: \( 73.13359333 \)
- Moyenne des carrés des résidus: \( 2.84596725 \)

Therefore:
\[ F = \frac{73.13359333}{2.84596725} = 25.6915 \]

So, the calculated/observed value of the F-statistic is approximately 25.6915.

Would you like more details or have any questions?

Here are 5 more questions you might ask:
1. What does the F-statistic signify in this regression analysis?
2. How do you interpret the coefficients in the regression output?
3. What is the significance of the p-values in the regression table?
4. How do you calculate the R-squared value, and what does it represent?
5. Can you explain the confidence intervals for the coefficients?

Tip: When analyzing regression output, always check the significance of your predictors to ensure they contribute meaningfully to the model.

Learn how to calculate the F-statistic in regression analysis using the provided data. Understand the importance of the F-statistic in determining the significance of the regression model. Suitable for undergraduate-level students and researchers.

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