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Myths vs. Data: Does an Apple a Day Keep the Doctor Away?

Introduction “Money can’t buy happiness.” “You can’t judge a book by its cover.” “An apple a day keeps the doctor away.” You’ve probably heard these sayings several times, but do they actually hold up when we look at the data? In this article series, I want to take popular myths/sayings and put them to the […]

Introduction

“Money can’t buy happiness.” “You can’t judge a book by its cover.” “An apple a day keeps the doctor away.”

You’ve probably heard these sayings several times, but do they actually hold up when we look at the data? In this article series, I want to take popular myths/sayings and put them to the test using real-world data. 

We might confirm some unexpected truths, or debunk some popular beliefs. Hopefully, in either case we will gain new insights into the world around us.

The hypothesis

“An apple a day keeps the doctor away”: is there any real evidence to support this?

If the myth is true, we should expect a negative correlation between apple consumption per capita and doctor visits per capita . So, the more apples a country consumes, the fewer doctor visits people should need.

Let’s look into the data and see what the numbers really say.

Testing the relationship between apple consumption and doctor visits

Let’s start with a simple correlation check between apple consumption per capita and doctor visits per capita.

Data sources

The data comes from:

Since data availability varies by year, 2017 was selected as it provided the most complete in terms of number of countries. However, the results are consistent across other years.

The United States had the highest apple consumption per capita, exceeding 55 kg per year, while Lithuania had the lowest, consuming just under 1 kg per year.
South Korea had the highest number of doctor visits per capita, at more than 18 visits per year, while Colombia had the lowest, with just above 2 visits per year.

Visualizing the relationship

To visualize whether higher apple consumption is associated with fewer doctor visits, we start by looking at a scatter plot with a regression line.

The regression plot shows a very slim negative correlation, meaning that in countries where people eat more apples, there is a barely noticeable tendency to have lower doctor visits. 
Unfortunately, the trend is so weak that it cannot be considered meaningful.

OLS regression

To test this relationship statistically, we run a linear regression (OLS), where doctor visits per capita is the dependent variable and apple consumption per capita is the independent variable.

The results confirm what the scatterplot suggested:

  • The coefficient for apple consumption is -0.0107, meaning that even if there is an effect, it is very small.
  • The p-value is 0.860 (86%), far more than the standard significance threshold of 5%.
  • The R² value is almost zero, meaning apple consumption explains virtually none of the variation in doctor visits.

This doesn’t strictly mean that there is no relationship, but rather that we cannot prove one with the available data. It’s possible that any real effect is too small to detect, that other factors we didn’t include play a larger role, or that the data simply doesn’t reflect the relationship well.

Controlling for confounders

Are we done? Not quite. So far, we’ve only checked for a direct relationship between apple consumption and doctor visits. 

As already mentioned, many other factors could be influencing both variables, potentially hiding a true relationship or creating an artificial one.

If we consider this causal graph:

We are assuming that apple consumption directly affects doctor visits. However, other hidden factors might be at play. If we don’t account for them, we risk failing to detect a real relationship if one exists.

A well-known example where confounder variables are on display comes from a study by Messerli (2012), which found an interesting correlation between chocolate consumption per capita and the number of Nobel laureates. 

So, would starting to eat a lot of chocolate help us win a Nobel Prize? Probably not. The likely explanation was that GDP per capita was a confounder. That means that richer countries tend to have both higher chocolate consumption and more Nobel Prize winners. The observed relationship wasn’t causal but rather due to a hidden (confounding) factor.

The same thing could be happening in our case. There might be confounding variables that influence both apple consumption and doctor visits, making it difficult to see a real relationship if one exists. 

Two key confounders to consider are GDP per capita and median age. Wealthier countries have better healthcare systems and different dietary patterns, and older populations tend to visit doctors more often and may have different eating habits.

To control for this, we change our model by introducing these confounders:

Data sources

The data comes from:

Luxembourg had the highest GDP per capita, exceeding 115K USD, while Colombia had the lowest, at 14.3K USD.
Japan had the highest median age, at over 46 years, while Mexico had the lowest, at under 27 years.

OLS regression (with confounders)

After controlling for GDP per capita and median age, we run a multiple regression to test whether apple consumption has any meaningful effect on doctor visits.

The results confirm what we observed earlier:

  • The coefficient for apple consumption remains very small(-0.0100), meaning any potential effect is negligible.
  • The p-value (85.5%) is still extremely high, far from statistical significance.
  • We still cannot reject the null hypothesis, meaning we have no strong evidence to support the idea that eating more apples leads to fewer doctor visits.

Same as before, this does not necessarily mean that no relationship exists, but rather that we cannot prove one using the available data. It could still be possible that the real effect is too small to detect or that there are yet other factors we didn’t include.

One interesting observation, however, is that GDP per capita also shows no significant relationship with doctor visits, as its p-value is 0.668 (66.8%), indicating that we couldn’t find in the data that wealth explains variations in healthcare usage.

On the other hand, median age appears to be strongly associated with doctor visits, with a p-value of 0.001 (0.1%) and a positive coefficient (0.4952). This suggests that older populations tend to visit doctors more frequently, which is actually not really surprising if we think about it!

So while we find no support for the apple myth, the data does reveal an interesting relationship between aging and healthcare usage.

Median age → Doctor visits

The results from the OLS regression showed a strong relationship between median age and doctor visits, and the visualization below confirms this trend.

There is a clear upward trend, indicating that countries with older populations tend to have more doctor visits per capita

Since we are only looking at median age and doctor visits here, one could argue that GDP per capita might be a confounder, influencing both. However, the previous OLS regression demonstrated that even when GDP was included in the model, this relationship remained strong and statistically significant.

This suggests that median age is a key factor in explaining differences in doctor visits across countries, independent of GDP.

GDP Apple consumption

While not directly related to doctor visits, an interesting secondary finding emerges when looking at the relationship between GDP per capita and apple consumption

One possible explanation is that wealthier countries have better access to fresh products. Another possibility is that climate and geography play a role, so it could be that many high-GDP countries are located in regions with strong apple production, making apples more available and affordable. 

Of course, other factors could be influencing this relationship, but we won’t dig deeper here.

The scatterplot shows a positive correlation: as GDP per capita increases, apple consumption also tends to rise. However, compared to median age and doctor visits, this trend is weaker, with more variation in the data.

The OLS confirms the relationship: with a 0.2257 coefficient for GDP per capita, we can estimate an increase of around 0.23 kg in apple consumption per capita for each increase of $1,000 in GDP per capita.

The 3.8% p-value allows us to reject the null hypothesis. So the relationship is statistically significant. However, the R² value (0.145) is relatively low, so while GDP explains some variation in apple consumption, many other factors likely contribute. 

Conclusion

The saying goes:

“An apple a day keeps the doctor away,”

But after putting this myth to the test with real-world data, the results seem not in line with this saying. Across multiple years, the results were consistent: no meaningful relationship between apple consumption and doctor visits emerged, even after controlling for confounders. It seems that apples alone aren’t enough to keep the doctor away.

However, this doesn’t completely disprove the idea that eating more apples could reduce doctor visits. Observational data, no matter how well we control for confounders, can never fully prove or disprove causality. 

To get a more statistically accurate answer, and to rule out all possible confounders at a level of granularity that could be actionable for an individual, we would need to conduct an A/B test
In such an experiment, participants would be randomly assigned to two groups, for example one eating a fixed amount of apples daily and the other avoiding apples. By comparing doctor visits over time among these two groups, we could determine if any difference between them arise, providing stronger evidence of a causal effect.

For obvious reasons, I chose not to go that route. Hiring a bunch of participants would be expensive, and ethically forcing people to avoid apples for science is definitely questionable.

However, we did find some interesting patterns. The strongest predictor of doctor visits wasn’t apple consumption, but median age: the older a country’s population, the more often people see a doctor

Meanwhile, GDP showed a mild connection to apple consumption, possibly because wealthier countries have better access to fresh produce, or because apple-growing regions tend to be more developed.

So, while we can’t confirm the original myth, we can offer a less poetic, but data-backed version:

“A young age keeps the doctor away.”

If you enjoyed this analysis and want to connect, you can find me on LinkedIn

The full analysis is available in this notebook on GitHub.


Data Sources

Fruit Consumption: Food and Agriculture Organization of the United Nations (2023) — with major processing by Our World in Data. “Per capita consumption of apples — FAO” [dataset]. Food and Agriculture Organization of the United Nations, “Food Balances: Food Balances (-2013, old methodology and population)”; Food and Agriculture Organization of the United Nations, “Food Balances: Food Balances (2010-)” [original data]. Licensed under CC BY 4.0.

Doctor Visits: OECD (2024), Consultations, URL (accessed on January 22, 2025). Licensed under CC BY 4.0.

GDP per Capita: World Bank (2025) — with minor processing by Our World in Data. “GDP per capita — World Bank — In constant 2021 international $” [dataset]. World Bank, “World Bank World Development Indicators” [original data]. Retrieved January 31, 2025 from https://ourworldindata.org/grapher/gdp-per-capita-worldbank. Licensed under CC BY 4.0.

Median Age: UN, World Population Prospects (2024) — processed by Our World in Data. “Median age, medium projection — UN WPP” [dataset]. United Nations, “World Population Prospects” [original data]. Licensed under CC BY 4.0.


All images, unless otherwise noted, are by the author.

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Why DeepSeek Is Great for AI and HPC and Maybe No Big Deal for Data Centers

In the rapid and ever-evolving landscape of artificial intelligence (AI) and high-performance computing (HPC), the emergence of DeepSeek’s R1 model has sent ripples across industries. DeepSeek has been the data center industry’s topic of the week, for sure. The Chinese AI app surged to the top of US app store leaderboards last weekend, sparking a global selloff in technology shares Monday morning.  But while some analysts predict a transformative impact within the industry, a closer examination suggests that, for data centers at large, the furor over DeepSeek might ultimately be much ado about nothing. DeepSeek’s Breakthrough in AI and HPC DeepSeek, a Chinese AI startup, this month unveiled its R1 model, claiming performance on par with, or even surpassing, leading models like OpenAI’s ChatGPT-4 and Anthropic’s Claude-3.5-Sonnet. Remarkably, DeepSeek developed this model at a fraction of the cost typically associated with such advancements, utilizing a cluster of 256 server nodes equipped with 2,048 GPUs. This efficiency has been attributed to innovative techniques and optimized resource utilization. AI researchers have been abuzz about the performance of the DeepSeek chatbot that produces results similar to ChatGPT, but is based on open-source models and reportedly trained on older GPU chips. Some researchers are skeptical of claims about DeepSeek’s development costs and means, but its performance appears to challenge common assumptions about the computing cost of developing AI applications. This efficiency has been attributed to innovative techniques and optimized resource utilization.  Market Reactions and Data Center Implications The announcement of DeepSeek’s R1 model led to significant market reactions, with notable declines in tech stocks, including a substantial drop in Nvidia’s valuation. This downturn was driven by concerns that more efficient AI models could reduce the demand for high-end hardware and, by extension, the expansive data centers that house them. For now, investors are re-assessing the

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Microsoft will invest $80B in AI data centers in fiscal 2025

And Microsoft isn’t the only one that is ramping up its investments into AI-enabled data centers. Rival cloud service providers are all investing in either upgrading or opening new data centers to capture a larger chunk of business from developers and users of large language models (LLMs).  In a report published in October 2024, Bloomberg Intelligence estimated that demand for generative AI would push Microsoft, AWS, Google, Oracle, Meta, and Apple would between them devote $200 billion to capex in 2025, up from $110 billion in 2023. Microsoft is one of the biggest spenders, followed closely by Google and AWS, Bloomberg Intelligence said. Its estimate of Microsoft’s capital spending on AI, at $62.4 billion for calendar 2025, is lower than Smith’s claim that the company will invest $80 billion in the fiscal year to June 30, 2025. Both figures, though, are way higher than Microsoft’s 2020 capital expenditure of “just” $17.6 billion. The majority of the increased spending is tied to cloud services and the expansion of AI infrastructure needed to provide compute capacity for OpenAI workloads. Separately, last October Amazon CEO Andy Jassy said his company planned total capex spend of $75 billion in 2024 and even more in 2025, with much of it going to AWS, its cloud computing division.

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John Deere unveils more autonomous farm machines to address skill labor shortage

Join our daily and weekly newsletters for the latest updates and exclusive content on industry-leading AI coverage. Learn More Self-driving tractors might be the path to self-driving cars. John Deere has revealed a new line of autonomous machines and tech across agriculture, construction and commercial landscaping. The Moline, Illinois-based John Deere has been in business for 187 years, yet it’s been a regular as a non-tech company showing off technology at the big tech trade show in Las Vegas and is back at CES 2025 with more autonomous tractors and other vehicles. This is not something we usually cover, but John Deere has a lot of data that is interesting in the big picture of tech. The message from the company is that there aren’t enough skilled farm laborers to do the work that its customers need. It’s been a challenge for most of the last two decades, said Jahmy Hindman, CTO at John Deere, in a briefing. Much of the tech will come this fall and after that. He noted that the average farmer in the U.S. is over 58 and works 12 to 18 hours a day to grow food for us. And he said the American Farm Bureau Federation estimates there are roughly 2.4 million farm jobs that need to be filled annually; and the agricultural work force continues to shrink. (This is my hint to the anti-immigration crowd). John Deere’s autonomous 9RX Tractor. Farmers can oversee it using an app. While each of these industries experiences their own set of challenges, a commonality across all is skilled labor availability. In construction, about 80% percent of contractors struggle to find skilled labor. And in commercial landscaping, 86% of landscaping business owners can’t find labor to fill open positions, he said. “They have to figure out how to do

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2025 playbook for enterprise AI success, from agents to evals

Join our daily and weekly newsletters for the latest updates and exclusive content on industry-leading AI coverage. Learn More 2025 is poised to be a pivotal year for enterprise AI. The past year has seen rapid innovation, and this year will see the same. This has made it more critical than ever to revisit your AI strategy to stay competitive and create value for your customers. From scaling AI agents to optimizing costs, here are the five critical areas enterprises should prioritize for their AI strategy this year. 1. Agents: the next generation of automation AI agents are no longer theoretical. In 2025, they’re indispensable tools for enterprises looking to streamline operations and enhance customer interactions. Unlike traditional software, agents powered by large language models (LLMs) can make nuanced decisions, navigate complex multi-step tasks, and integrate seamlessly with tools and APIs. At the start of 2024, agents were not ready for prime time, making frustrating mistakes like hallucinating URLs. They started getting better as frontier large language models themselves improved. “Let me put it this way,” said Sam Witteveen, cofounder of Red Dragon, a company that develops agents for companies, and that recently reviewed the 48 agents it built last year. “Interestingly, the ones that we built at the start of the year, a lot of those worked way better at the end of the year just because the models got better.” Witteveen shared this in the video podcast we filmed to discuss these five big trends in detail. Models are getting better and hallucinating less, and they’re also being trained to do agentic tasks. Another feature that the model providers are researching is a way to use the LLM as a judge, and as models get cheaper (something we’ll cover below), companies can use three or more models to

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OpenAI’s red teaming innovations define new essentials for security leaders in the AI era

Join our daily and weekly newsletters for the latest updates and exclusive content on industry-leading AI coverage. Learn More OpenAI has taken a more aggressive approach to red teaming than its AI competitors, demonstrating its security teams’ advanced capabilities in two areas: multi-step reinforcement and external red teaming. OpenAI recently released two papers that set a new competitive standard for improving the quality, reliability and safety of AI models in these two techniques and more. The first paper, “OpenAI’s Approach to External Red Teaming for AI Models and Systems,” reports that specialized teams outside the company have proven effective in uncovering vulnerabilities that might otherwise have made it into a released model because in-house testing techniques may have missed them. In the second paper, “Diverse and Effective Red Teaming with Auto-Generated Rewards and Multi-Step Reinforcement Learning,” OpenAI introduces an automated framework that relies on iterative reinforcement learning to generate a broad spectrum of novel, wide-ranging attacks. Going all-in on red teaming pays practical, competitive dividends It’s encouraging to see competitive intensity in red teaming growing among AI companies. When Anthropic released its AI red team guidelines in June of last year, it joined AI providers including Google, Microsoft, Nvidia, OpenAI, and even the U.S.’s National Institute of Standards and Technology (NIST), which all had released red teaming frameworks. Investing heavily in red teaming yields tangible benefits for security leaders in any organization. OpenAI’s paper on external red teaming provides a detailed analysis of how the company strives to create specialized external teams that include cybersecurity and subject matter experts. The goal is to see if knowledgeable external teams can defeat models’ security perimeters and find gaps in their security, biases and controls that prompt-based testing couldn’t find. What makes OpenAI’s recent papers noteworthy is how well they define using human-in-the-middle

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