Overview
To explore how BMW vehicle characteristics influence market performance, a multiple linear regression model was estimated using core predictors:
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ln_price – natural log of vehicle price (a measure of price elasticity)
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Engine_Size_L – engine capacity in liters
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Mileage_KM – distance driven (vehicle usage intensity)
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Year – model year (proxy for technology advancement)
The analysis aimed to quantify how each factor affects BMW’s sales or market performance over time.
Model Summary
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R²: 0.000029 (≈ 0.0029%)
Indicates that the explanatory variables account for a negligible portion of the variance in the dependent variable. -
Coefficients:
| Variable | Coefficient | Interpretation |
|---|---|---|
| ln_price | -0.00097 | A 1% increase in price is associated with a 0.00097% decrease in performance, showing very low price elasticity. |
| Engine_Size_L | -0.00426 | Larger engines slightly reduce elasticity, possibly reflecting higher running costs or stricter environmental policies. |
| Mileage_KM | -3.56×10⁻⁸ | Mileage has virtually no measurable effect; buyers seem unconcerned with distance once brand and model are established. |
| Year | +6.56×10⁻⁵ | A positive but minor effect, newer models show slight performance improvement, possibly due to design and tech upgrades. |
Interpretation
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Low R² (≈ 0):
The model explains almost none of the observed variation, suggesting that BMW pricing and sales dynamics are driven by factors outside this linear specification, such as marketing, macroeconomics, or brand perception. -
Price Inelasticity:
The near-zero elasticity (−0.00097) confirms luxury brand resilience; BMW buyers are not highly sensitive to price changes, consistent with premium market behavior. -
Engine Size & Sustainability Transition:
The negative coefficient implies a gradual shift in consumer preference toward smaller, more efficient engines, reflecting climate-conscious policy impacts post-2015. -
Technology Evolution:
The “Year” coefficient, though small, highlights incremental performance gains as BMW integrates electric powertrains, AI systems, and safety innovations.
Policy and Market Insights
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Luxury Price Stickiness: Policymakers should recognize that taxation or incentives on high-end vehicles may have a limited impact on demand elasticity.
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Green Policy Alignment: Declining engine-size elasticity supports progressive emission policies, encouraging efficient vehicle adoption without damaging brand equity.
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R&D Emphasis: Incremental year-based improvements confirm that innovation continuity is critical to sustaining BMW’s premium image in an evolving market.
Summary of Elasticities
| Variable | Elasticity | Direction | Economic Meaning |
|---|---|---|---|
| Price (ln_price) | -0.00097 | Inelastic | Price changes barely affect performance |
| Engine Size | -0.00426 | Negative | Larger engines slightly reduce sales potential |
| Mileage | -0.00000 | Neutral | No measurable impact |
| Year | +0.00007 | Positive | Slight performance gains in newer models |
Acknowledgments
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Data Source: BMW Sales Data (2010–2024), analyzed via the DatalytIQs Academy Analytics Framework.
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Tools Used: Python (pandas, numpy, statsmodels) — regression and elasticity estimation.
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Contributors:
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Collins Odhiambo Owino — Lead Analyst & Author, DatalytIQs Academy
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Kaggle Automotive Data Community — Data structure support
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BMW Group Economic Reports (2010–2024) — Market context references
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Author’s Note
Written by Collins Odhiambo Owino
Founder & Lead Researcher, DatalytIQs Academy
Empowering learners and professionals in Mathematics, Economics, and Finance through data-driven insight.
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