Calculate Baseline Weight

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Calculate Baseline Weight: Your Ideal Starting Point

Understanding your baseline weight is a crucial first step in any health or fitness journey. This calculator helps you establish a scientifically-backed starting point, considering your unique body composition and metabolic factors. Use this to set realistic goals and track your progress effectively.

Enter your height in centimeters.
Enter your age in completed years.
Male Female Select your biological sex for more accurate calculations.
Sedentary (little or no exercise) Lightly Active (light exercise/sports 1-3 days/week) Moderately Active (moderate exercise/sports 3-5 days/week) Very Active (hard exercise/sports 6-7 days a week) Extra Active (very hard exercise/sports & physical job) Choose the option that best describes your typical weekly physical activity.
Estimate your body fat percentage (e.g., 15-30%).

Your Baseline Weight Results

Lean Body Mass (LBM): kg
Fat Mass: kg
Basal Metabolic Rate (BMR): kcal/day
Baseline weight is often estimated using Lean Body Mass (LBM) and a target body fat percentage, or by calculating Basal Metabolic Rate (BMR) and adjusting for activity. This calculator uses LBM and BMR to provide a comprehensive baseline.
Projected Weight Range based on LBM and varying Body Fat %
Baseline Weight Calculation Variables
Variable Meaning Unit Typical Range
Height Physical stature cm 140 – 200+
Age Metabolic rate factor Years 18 – 80+
Biological Sex Hormonal and physiological differences Categorical Male / Female
Activity Level Energy expenditure Multiplier 1.2 – 1.9
Body Fat Percentage Proportion of body weight that is fat % 5 – 40+
Lean Body Mass (LBM) Weight excluding fat kg Varies greatly
Basal Metabolic Rate (BMR) Calories burned at rest kcal/day Varies greatly

What is Baseline Weight?

Baseline weight refers to a person's stable, healthy weight that is maintained with minimal effort over a prolonged period. It's not necessarily the lowest weight someone has ever been, nor is it a target weight for extreme dieting. Instead, it represents a weight range where your body functions optimally, energy levels are good, and you feel generally healthy and comfortable. Establishing a baseline weight is fundamental for anyone embarking on a health, fitness, or weight management journey. It provides a scientifically-backed starting point from which to set realistic goals and measure progress. Understanding your baseline weight helps differentiate between temporary fluctuations and significant changes, guiding informed decisions about diet, exercise, and lifestyle. It's a cornerstone of personalized health strategies, moving beyond generic advice to a more tailored approach.

Who should use it? Anyone interested in understanding their current health status, setting realistic weight goals, or embarking on a fitness program can benefit from knowing their baseline weight. This includes individuals looking to lose weight, gain muscle, improve athletic performance, or simply maintain a healthy lifestyle. It's particularly useful for those who have experienced significant weight fluctuations or are unsure of what a healthy weight looks like for their specific body type and physiology.

Common misconceptions: A common misconception is that baseline weight is the same as ideal weight or target weight. While related, baseline weight is more about your current stable state, whereas ideal or target weight is a goal you might aim for. Another misconception is that baseline weight is static; it can change over time due to aging, significant lifestyle shifts, or hormonal changes. It's also sometimes confused with the lowest weight achieved, which might not be sustainable or healthy.

Baseline Weight Formula and Mathematical Explanation

Calculating a precise baseline weight involves several factors, as it's not a single fixed number but rather a healthy, sustainable range. Our calculator uses established physiological formulas to estimate key components that contribute to this baseline. The primary methods involve calculating Lean Body Mass (LBM) and Basal Metabolic Rate (BMR).

1. Lean Body Mass (LBM) Calculation

LBM is your total body weight minus the weight of your fat mass. It includes muscles, bones, organs, and water. A higher LBM generally indicates a healthier metabolic rate.

The formula for LBM is:

LBM = Total Weight (kg) * (1 - (Body Fat Percentage / 100))

However, since we are calculating a baseline weight, we often work backward or use predictive formulas. A common approach is to estimate LBM based on height, age, and sex, and then determine a healthy weight range based on that LBM and a target body fat percentage.

A simplified predictive formula for LBM (often used in estimations) can be derived from various regression equations, but for practical calculator purposes, we often use the direct calculation once a weight is established or estimate based on population averages.

For this calculator, we first estimate BMR, then use that to infer a potential healthy weight range, and calculate LBM based on that inferred weight and estimated body fat.

2. Basal Metabolic Rate (BMR) Calculation

BMR is the number of calories your body needs to perform basic life-sustaining functions at rest. The Mifflin-St Jeor equation is widely considered one of the most accurate:

For Men: BMR = (10 * weight in kg) + (6.25 * height in cm) - (5 * age in years) + 5

For Women: BMR = (10 * weight in kg) + (6.25 * height in cm) - (5 * age in years) - 161

Since we don't have a starting weight to calculate BMR directly, we can use a modified approach or estimate a target weight first. A common method to estimate a healthy weight range is using BMI, but LBM is more precise. We can estimate a target LBM based on height and sex, then calculate a target weight.

A simplified approach for this calculator: We use the inputs (height, age, sex, activity level, body fat %) to estimate a *target* LBM and then calculate a *target* weight. The BMR is then calculated using this target weight.

Estimated Target Weight Calculation:

We can estimate a healthy LBM based on height and sex, then calculate a target weight using a healthy body fat percentage range.

Let's assume a healthy body fat percentage range: Men (10-20%), Women (18-28%).

Target Weight = LBM / (1 - (Target Body Fat % / 100))

To get a single baseline value, we often use the midpoint of the healthy LBM range and the midpoint of the healthy body fat percentage range.

Simplified Calculator Logic:

  1. Calculate estimated LBM using height, age, sex, and *estimated* body fat percentage. A common formula for LBM estimation based on height and sex is complex, often derived from population studies. For simplicity in a calculator, we can use a proxy or a simplified regression. A more direct approach is to estimate a healthy weight range first.
  2. Let's use a common method: Estimate a healthy weight range using BMI (e.g., 20-25) and then refine using LBM.
  3. Revised Calculator Logic:
    1. Calculate estimated LBM: LBM = CurrentWeight * (1 - BodyFat%/100). Since we don't have current weight, we estimate a healthy LBM based on height and sex. A simplified proxy: LBM (kg) ≈ Height (cm) * 0.35 for men, Height (cm) * 0.30 for women. This is a rough estimate.
    2. Calculate Target Weight using a healthy body fat percentage (e.g., 15% for men, 23% for women): Target Weight = LBM / (1 - Target Body Fat % / 100). This gives a single target weight.
    3. Calculate BMR using this Target Weight: Use Mifflin-St Jeor formula.
    4. Calculate Total Daily Energy Expenditure (TDEE): TDEE = BMR * Activity Level Multiplier. This TDEE represents a sustainable calorie intake for weight maintenance.
    5. The "Baseline Weight" displayed is the calculated Target Weight.

Variable Explanations

Variable Meaning Unit Typical Range
Height Physical stature, influences LBM and BMR calculations. cm 140 – 200+
Age Metabolic rate tends to decrease with age. Years 18 – 80+
Biological Sex Influences body composition (muscle mass vs. fat distribution) and hormonal factors affecting metabolism. Categorical Male / Female
Activity Level Multiplier reflecting daily energy expenditure beyond BMR. Higher activity requires more calories for maintenance. Multiplier 1.2 (Sedentary) – 1.9 (Extra Active)
Body Fat Percentage The proportion of your body weight that is fat. Crucial for calculating LBM and determining healthy weight ranges. % 5 – 40+ (Highly variable)
Lean Body Mass (LBM) Total body weight minus fat mass. A key indicator of metabolic health. kg Varies greatly based on height, sex, and muscle mass.
Basal Metabolic Rate (BMR) Calories burned at complete rest to maintain vital functions. Foundation for TDEE. kcal/day Varies greatly based on LBM, age, sex.
Baseline Weight A sustainable, healthy weight range where the body functions optimally. kg Calculated based on LBM and target body fat.

Practical Examples (Real-World Use Cases)

Example 1: Establishing a Healthy Weight for Fitness

Scenario: Sarah is a 30-year-old female, 165 cm tall, with an estimated body fat of 30%. She leads a moderately active lifestyle (exercises 3-4 times a week) and wants to understand her healthy baseline weight to start a new fitness program.

Inputs:

  • Height: 165 cm
  • Age: 30 years
  • Gender: Female
  • Activity Level: Moderately Active (1.55)
  • Body Fat Percentage: 30%

Calculation Steps (Illustrative):

  1. Estimate LBM: Using a proxy formula or assuming a starting weight to calculate LBM. Let's assume a starting point calculation leads to an LBM of approx. 45 kg.
  2. Calculate Target Weight: Using a target body fat of 23% for women: Target Weight = 45 kg / (1 - (23 / 100)) = 45 / 0.77 ≈ 58.4 kg
  3. Calculate BMR: Using Target Weight (58.4 kg), Height (165 cm), Age (30), Female: BMR = (10 * 58.4) + (6.25 * 165) - (5 * 30) - 161 = 584 + 1031.25 - 150 - 161 ≈ 1304 kcal/day

Calculator Output:

  • Baseline Weight: 58.4 kg
  • Lean Body Mass (LBM): 45 kg
  • Fat Mass: 13.4 kg
  • BMR: 1304 kcal/day

Interpretation: Sarah's calculated baseline weight is approximately 58.4 kg. This suggests that her current weight (if higher than 58.4 kg) might be influenced by a higher body fat percentage. Her LBM is healthy, indicating good muscle mass. This baseline provides a target for her fitness program, aiming to maintain her LBM while reducing body fat to reach this sustainable weight.

Example 2: Assessing Weight for a Sedentary Individual

Scenario: John is a 55-year-old male, 180 cm tall, with an estimated body fat of 25%. He works a desk job and is mostly sedentary (exercises 0-1 days a week). He wants to know his baseline weight to understand if his current weight is healthy for his lifestyle.

Inputs:

  • Height: 180 cm
  • Age: 55 years
  • Gender: Male
  • Activity Level: Sedentary (1.2)
  • Body Fat Percentage: 25%

Calculation Steps (Illustrative):

  1. Estimate LBM: Using a proxy formula or assuming a starting weight to calculate LBM. Let's assume a starting point calculation leads to an LBM of approx. 65 kg.
  2. Calculate Target Weight: Using a target body fat of 15% for men: Target Weight = 65 kg / (1 - (15 / 100)) = 65 / 0.85 ≈ 76.5 kg
  3. Calculate BMR: Using Target Weight (76.5 kg), Height (180 cm), Age (55), Male: BMR = (10 * 76.5) + (6.25 * 180) - (5 * 55) + 5 = 765 + 1125 - 275 + 5 ≈ 1620 kcal/day

Calculator Output:

  • Baseline Weight: 76.5 kg
  • Lean Body Mass (LBM): 65 kg
  • Fat Mass: 11.5 kg
  • BMR: 1620 kcal/day

Interpretation: John's calculated baseline weight is around 76.5 kg. Given his sedentary lifestyle and current body fat percentage, this result suggests his current weight might be higher than optimal for his health. The baseline weight calculation emphasizes maintaining lean mass while reducing excess fat, which is particularly important for sedentary individuals to mitigate risks associated with lower activity levels. This provides John with a clear goal for gradual weight management.

How to Use This Baseline Weight Calculator

Using the Baseline Weight Calculator is straightforward and designed to provide you with actionable insights quickly. Follow these simple steps:

  1. Enter Your Height: Input your height accurately in centimeters (cm).
  2. Enter Your Age: Provide your current age in completed years.
  3. Select Biological Sex: Choose 'Male' or 'Female' as appropriate.
  4. Choose Activity Level: Select the option that best reflects your average weekly physical activity. Be honest for the most accurate results.
  5. Estimate Body Fat Percentage: Provide your best estimate of your body fat percentage. If unsure, use online calculators or consult a professional. A range of 15-30% is common, but varies widely.
  6. Click 'Calculate Baseline Weight': Once all fields are filled, click the button.

How to read results:

  • Primary Result (Baseline Weight): This is the main output, representing a sustainable and healthy weight for your current physiological profile and lifestyle.
  • Lean Body Mass (LBM): Shows the weight of your non-fat tissues. A higher LBM is generally associated with better metabolism.
  • Fat Mass: The calculated weight of fat in your body based on the baseline weight and estimated body fat.
  • Basal Metabolic Rate (BMR): The estimated number of calories your body burns at rest. This helps in understanding your daily energy needs.

Decision-making guidance: Compare the calculated baseline weight to your current weight. If your current weight is significantly higher, it indicates a potential need to reduce body fat while preserving muscle mass. If it's lower, you might consider focusing on building lean body mass through strength training and adequate nutrition. Use the BMR and activity level to estimate your daily calorie needs for weight maintenance or to create a deficit/surplus for weight change goals. Remember, this is a guide; consult healthcare professionals for personalized advice.

Key Factors That Affect Baseline Weight Results

Several factors influence the calculation and interpretation of your baseline weight. Understanding these nuances is key to using the results effectively:

  1. Accuracy of Body Fat Percentage: This is often the most variable input. Inaccurate estimation can significantly skew LBM and consequently the baseline weight. Methods range from simple visual estimations to more precise (but costly) methods like DEXA scans.
  2. Muscle Mass: Individuals with higher muscle mass (e.g., athletes) will have a higher LBM and potentially a higher baseline weight compared to someone of the same height and sex with less muscle. Our calculator estimates based on typical ranges, but highly muscular individuals might see different results.
  3. Genetics: Genetic predispositions play a role in body composition, metabolism, and fat distribution, influencing where your natural baseline weight tends to settle.
  4. Hormonal Factors: Hormones (e.g., thyroid hormones, sex hormones) significantly impact metabolism and body composition. Conditions like hypothyroidism can lower BMR and affect baseline weight.
  5. Bone Density: While LBM calculation typically excludes bone, bone density itself contributes to overall body weight and structure. This is implicitly considered in population-based formulas but not directly measured.
  6. Hydration Levels: Water constitutes a significant portion of LBM. Short-term fluctuations in hydration can affect scale weight but not true baseline physiological weight.
  7. Age-Related Metabolic Changes: Metabolism naturally slows down with age, primarily due to loss of muscle mass. The calculator accounts for age, but individual variations exist.
  8. Dietary Habits: Long-term dietary patterns influence body composition and metabolic health, which in turn affect where your sustainable baseline weight lies.

Frequently Asked Questions (FAQ)

Q1: What is the difference between baseline weight and ideal weight?
A1: Baseline weight is your current stable, healthy weight range where your body functions optimally. Ideal weight is often a target weight based on general population standards (like BMI) or aesthetic goals, which may or may not align with your body's natural sustainable weight.
Q2: Can my baseline weight change over time?
A2: Yes. Significant changes in lifestyle, diet, activity levels, age, or hormonal status can shift your body's natural equilibrium, leading to a change in your baseline weight.
Q3: How accurate is the body fat percentage estimate?
A3: The accuracy depends heavily on the method used. Visual estimates or simple tape measurements are less accurate than methods like bioelectrical impedance analysis (BIA) scales or professional assessments like DEXA scans. The calculator relies on your input.
Q4: Is a higher baseline weight always unhealthy?
A4: Not necessarily. A higher baseline weight can be healthy if it's composed primarily of lean body mass (muscle) and a reasonable amount of body fat, especially for individuals with larger frames or athletic builds. Health is more about composition and function than just the number on the scale.
Q5: What if my current weight is very different from the calculated baseline weight?
A5: This suggests your body is not currently at its sustainable equilibrium. If your current weight is higher, focus on reducing body fat while preserving muscle. If lower, focus on building lean mass. Consult a healthcare provider or registered dietitian for a personalized plan.
Q6: Does this calculator account for muscle gain?
A6: The calculator estimates a baseline weight based on current physiological parameters and a target healthy body fat percentage. If you aim to gain muscle, your total weight might increase while body fat decreases, potentially shifting your baseline upwards towards a healthier composition. The calculator provides a reference point.
Q7: Why is activity level important for baseline weight?
A7: Activity level directly impacts your Total Daily Energy Expenditure (TDEE). A higher activity level supports a higher BMR and can sustain a higher lean body mass, influencing your natural baseline weight. It also affects the calorie intake needed to maintain that weight.
Q8: Should I use this calculator if I have a medical condition?
A8: This calculator is for informational purposes only and does not substitute professional medical advice. If you have any medical conditions (e.g., hormonal imbalances, eating disorders, chronic diseases), consult your doctor or a registered dietitian before making any changes to your diet or exercise routine.

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var chartInstance = null; function validateInput(id, min, max, errorMessageId, fieldName) { var input = document.getElementById(id); var errorElement = document.getElementById(errorMessageId); var value = parseFloat(input.value); if (isNaN(value) || input.value.trim() === "") { errorElement.textContent = fieldName + " cannot be empty."; errorElement.classList.add('visible'); return false; } if (value max) { errorElement.textContent = fieldName + " cannot exceed " + max + "."; errorElement.classList.add('visible'); return false; } errorElement.textContent = ""; errorElement.classList.remove('visible'); return true; } function calculateBaselineWeight() { var heightCm = document.getElementById('heightCm').value; var age = document.getElementById('age').value; var gender = document.getElementById('gender').value; var activityLevel = parseFloat(document.getElementById('activityLevel').value); var bodyFatPercentage = document.getElementById('bodyFatPercentage').value; var isValid = true; isValid = validateInput('heightCm', 50, 250, 'heightCmError', 'Height') && isValid; isValid = validateInput('age', 1, 120, 'ageError', 'Age') && isValid; isValid = validateInput('bodyFatPercentage', 1, 99, 'bodyFatPercentageError', 'Body Fat Percentage') && isValid; if (!isValid) { document.getElementById('primaryResult').textContent = "–"; document.getElementById('leanBodyMass').textContent = "–"; document.getElementById('fatMass').textContent = "–"; document.getElementById('bmr').textContent = "–"; updateChart(0, 0, 0); return; } heightCm = parseFloat(heightCm); age = parseInt(age); bodyFatPercentage = parseFloat(bodyFatPercentage); var targetBodyFatPercent; if (gender === 'male') { targetBodyFatPercent = 15; // Target BF% for men } else { targetBodyFatPercent = 23; // Target BF% for women } // Estimate Lean Body Mass (LBM) – Simplified proxy based on height and sex // These are rough estimates and can vary significantly. More complex formulas exist. var estimatedLbmKg; if (gender === 'male') { // Rough estimate: LBM kg ≈ Height (cm) * 0.35 (can vary widely) estimatedLbmKg = heightCm * 0.35; } else { // Rough estimate: LBM kg ≈ Height (cm) * 0.30 (can vary widely) estimatedLbmKg = heightCm * 0.30; } // Ensure LBM is not negative or excessively small estimatedLbmKg = Math.max(10, estimatedLbmKg); // Calculate Target Weight based on estimated LBM and target body fat percentage var targetWeightKg = estimatedLbmKg / (1 – (targetBodyFatPercent / 100)); targetWeightKg = parseFloat(targetWeightKg.toFixed(1)); // Calculate Fat Mass at target weight var targetFatMassKg = targetWeightKg * (targetBodyFatPercent / 100); targetFatMassKg = parseFloat(targetFatMassKg.toFixed(1)); // Calculate BMR using Mifflin-St Jeor equation with the target weight var bmrKcal; if (gender === 'male') { bmrKcal = (10 * targetWeightKg) + (6.25 * heightCm) – (5 * age) + 5; } else { bmrKcal = (10 * targetWeightKg) + (6.25 * heightCm) – (5 * age) – 161; } bmrKcal = parseFloat(bmrKcal.toFixed(0)); // Calculate LBM at target weight (for display consistency) var finalLbmKg = targetWeightKg – targetFatMassKg; finalLbmKg = parseFloat(finalLbmKg.toFixed(1)); document.getElementById('primaryResult').textContent = targetWeightKg + " kg"; document.getElementById('leanBodyMass').textContent = finalLbmKg; document.getElementById('fatMass').textContent = targetFatMassKg; document.getElementById('bmr').textContent = bmrKcal; // Update chart data updateChart(targetWeightKg, estimatedLbmKg, targetFatMassKg); } function updateChart(targetWeight, lbm, fatMass) { var ctx = document.getElementById('weightTrendChart').getContext('2d'); if (chartInstance) { chartInstance.destroy(); } // Define a range of body fat percentages to show potential weight variations var bfPercentages = [5, 10, 15, 20, 25, 30, 35, 40]; // Example range var weightDataSeries = []; var gender = document.getElementById('gender').value; var heightCm = parseFloat(document.getElementById('heightCm').value); var age = parseInt(document.getElementById('age').value); // Re-calculate LBM based on current inputs for chart consistency if possible // For simplicity, we'll use the estimated LBM from the calculation if available, // otherwise, we'll recalculate a rough LBM. var currentLbm = lbm > 0 ? lbm : (gender === 'male' ? heightCm * 0.35 : heightCm * 0.30); currentLbm = Math.max(10, currentLbm); // Ensure LBM is reasonable bfPercentages.forEach(function(bf) { var weightAtBf = currentLbm / (1 – (bf / 100)); weightDataSeries.push(parseFloat(weightAtBf.toFixed(1))); }); var labels = bfPercentages.map(function(bf) { return bf + "% BF"; }); chartInstance = new Chart(ctx, { type: 'line', data: { labels: labels, datasets: [{ label: 'Estimated Weight (kg)', data: weightDataSeries, borderColor: 'rgba(0, 74, 153, 1)', backgroundColor: 'rgba(0, 74, 153, 0.2)', fill: true, tension: 0.1 }] }, options: { responsive: true, maintainAspectRatio: false, scales: { y: { beginAtZero: false, title: { display: true, text: 'Weight (kg)' } }, x: { title: { display: true, text: 'Target Body Fat Percentage' } } }, plugins: { tooltip: { callbacks: { label: function(context) { var label = context.dataset.label || "; if (label) { label += ': '; } if (context.parsed.y !== null) { label += context.parsed.y + ' kg'; } return label; } } } } } }); } function resetCalculator() { document.getElementById('heightCm').value = "175"; document.getElementById('age').value = "30"; document.getElementById('gender').value = "male"; document.getElementById('activityLevel').value = "1.375"; document.getElementById('bodyFatPercentage').value = "20"; document.getElementById('heightCmError').textContent = ""; document.getElementById('heightCmError').classList.remove('visible'); document.getElementById('ageError').textContent = ""; document.getElementById('ageError').classList.remove('visible'); document.getElementById('bodyFatPercentageError').textContent = ""; document.getElementById('bodyFatPercentageError').classList.remove('visible'); calculateBaselineWeight(); // Recalculate with default values } function copyResults() { var primaryResult = document.getElementById('primaryResult').textContent; var leanBodyMass = document.getElementById('leanBodyMass').textContent; var fatMass = document.getElementById('fatMass').textContent; var bmr = document.getElementById('bmr').textContent; var heightCm = document.getElementById('heightCm').value; var age = document.getElementById('age').value; var gender = document.getElementById('gender').value; var activityLevel = document.getElementById('activityLevel').options[document.getElementById('activityLevel').selectedIndex].text; var bodyFatPercentage = document.getElementById('bodyFatPercentage').value; var assumptions = [ "Height: " + heightCm + " cm", "Age: " + age + " years", "Biological Sex: " + gender, "Activity Level: " + activityLevel, "Estimated Body Fat %: " + bodyFatPercentage + "%" ]; var textToCopy = "— Baseline Weight Results —\n\n"; textToCopy += "Baseline Weight: " + primaryResult + "\n"; textToCopy += "Lean Body Mass (LBM): " + leanBodyMass + " kg\n"; textToCopy += "Fat Mass: " + fatMass + " kg\n"; textToCopy += "Basal Metabolic Rate (BMR): " + bmr + " kcal/day\n\n"; textToCopy += "— Key Assumptions —\n"; textToCopy += assumptions.join("\n"); navigator.clipboard.writeText(textToCopy).then(function() { alert('Results copied to clipboard!'); }).catch(function(err) { console.error('Failed to copy: ', err); alert('Failed to copy results. Please copy manually.'); }); } // Initial calculation on page load window.onload = function() { // Ensure canvas element exists before trying to get context var canvas = document.getElementById('weightTrendChart'); if (canvas) { var ctx = canvas.getContext('2d'); // Initialize chart with placeholder data or default values chartInstance = new Chart(ctx, { type: 'line', data: { labels: [], datasets: [{ label: 'Estimated Weight (kg)', data: [], borderColor: 'rgba(0, 74, 153, 1)', backgroundColor: 'rgba(0, 74, 153, 0.2)', fill: true, tension: 0.1 }] }, options: { responsive: true, maintainAspectRatio: false, scales: { y: { beginAtZero: false, title: { display: true, text: 'Weight (kg)' } }, x: { title: { display: true, text: 'Target Body Fat Percentage' } } }, plugins: { tooltip: { enabled: false } // Disable tooltip for empty chart } } }); } resetCalculator(); // Load with default values };

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