Subjects statistics

Sales Estimate A6125C

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1. **Stating the problem:** We want to estimate the expected sales next year if the multinational company uses the maximum advertising budget in the most efficient way based on the given data. 2. **Understanding the data:** - Maximum advertising spends (in thousands of euros): - TV: 296.40 - Radio: 4,652.80 - Newspapers: 114.00 - Pearson correlation coefficients with sales: - TV: 0.901 - Radio: 0.350 - Newspapers: 0.158 3. **Key insight:** The most efficient advertising type is the one with the highest correlation with sales, which is TV advertising ($r=0.901$). 4. **Approach:** Assuming sales are most influenced by TV advertising, we estimate sales based on the maximum TV spend. 5. **Calculate average sales per unit of TV advertising:** Total sales sum = 3,026.10 (thousands of euros) Total TV spend sum = 29,408.50 (thousands of euros) Average sales per unit TV spend = $$\frac{3,026.10}{29,408.50} \approx 0.1029$$ 6. **Estimate sales for maximum TV spend:** Maximum TV spend = 296.40 Expected sales = $$296.40 \times 0.1029 \approx 30.47$$ (thousands of euros) 7. **Adjusting for scale:** The options are in euros, so multiply by 1000: Expected sales = $$30.47 \times 1000 = 30,470$$ euros 8. **Compare with options:** The closest option is D. 23,427 euros, but our estimate is higher. 9. **Considering correlation less than 1:** Since correlation is 0.901, actual sales might be lower. Multiply by correlation: Adjusted sales = $$30,470 \times 0.901 \approx 27,450$$ euros 10. **Final estimate:** Closest option to 27,450 euros is D. 23,427 euros. **Answer: D. 23,427 euros**