Simplify Your Workflow: Search miniwebtool.
Add Extension
Home Page > Math > Statistics And Data Analysis > Linear Regression Calculator
 

Linear Regression Calculator

Calculate the least squares regression line for a set of data points.

Linear Regression Calculator
Enter numbers for Independent Variable (X) separated by commas, spaces, or line breaks [example]:
Enter numbers for Dependent Variable (Y) separated by commas, spaces, or line breaks [example]:
Precision:

Embed Linear Regression Calculator Widget

About Linear Regression Calculator

The Linear Regression Calculator computes the least squares regression line for a set of data points, allowing you to understand the relationship between two variables and make predictions.

What is Linear Regression?

Linear regression is a statistical method used to model the relationship between a dependent variable (Y) and one independent variable (X) by fitting a linear equation to observed data.

The regression line equation is represented as:

\( Y = b_0 + b_1 X \)

Where:
\( Y \) = Dependent variable
\( X \) = Independent variable
\( b_0 \) = Intercept of the regression line
\( b_1 \) = Slope of the regression line

How to Calculate Linear Regression

The slope (\( b_1 \)) and intercept (\( b_0 \)) are calculated using the following formulas:

\( b_1 = \frac{\sum (X_i - \bar{X})(Y_i - \bar{Y})}{\sum (X_i - \bar{X})^2} \)

\( b_0 = \bar{Y} - b_1 \bar{X} \)

Where:
\( X_i, Y_i \) = Individual data points
\( \bar{X}, \bar{Y} \) = Means of X and Y

What is the Slope of the Regression Line?

The slope (\( b_1 \)) of the regression line indicates the change in the dependent variable (Y) for a one-unit change in the independent variable (X). It represents the strength and direction of the relationship.

Least Squares Regression Line

The least squares regression line minimizes the sum of the squares of the vertical distances of the points from the line. It provides the best fit for the data.

Multiple Linear Regression Calculator

While this calculator focuses on simple linear regression with one independent variable, multiple linear regression involves two or more independent variables. For multiple regression analysis, specialized statistical software or calculators are recommended.

Use Cases of Linear Regression

Linear regression is widely used in various fields:

References:

Linear Regression - Wikipedia

Reference this content, page, or tool as:

"Linear Regression Calculator" at https://miniwebtool.com/linear-regression-calculator/ from miniwebtool, https://miniwebtool.com/

by miniwebtool team. Updated: Nov 04, 2024

You can also try our AI Math Solver GPT to solve your math problems through natural language question and answer.

Related Miniwebtools:

Standard Error Calculator (High Precision)Featured

Statistics And Data Analysis:

Top & Updated:

Random PickerFeet and Inches to Cm ConverterRandom Name PickerSort NumberBatting Average CalculatorRemove SpacesERA CalculatorLinear Regression CalculatorRelative Standard Deviation Calculator (High Precision)Percent Off CalculatorLine CounterSun, Moon & Rising Sign Calculator 🌞🌙✨Roman Numerals ConverterBitwise CalculatorMAC Address GeneratorFirst n Digits of PiLog Base 10 CalculatorWord to Phone Number ConverterSum CalculatorMAC Address LookupQuotient and Remainder CalculatorOctal CalculatorCm to Feet and Inches ConverterDecimal to BCD ConverterSHA256 Hash GeneratorFixed Deposit CalculatorText FormatterBinary to Gray Code ConverterRandom Quote GeneratorSquare Root (√) CalculatorCompound Growth CalculatorLove Compatibility CalculatorBCD to Decimal ConverterNumber of DigitsOutlier CalculatorPhone Number ExtractorStandard Error Calculator (High Precision)Gray Code to Binary ConverterFacebook User ID LookupRemove AccentSalary Conversion CalculatorSlugging Percentage CalculatorAI Punctuation AdderBinary to BCD ConverterLog Base 2 CalculatorCompare Two StringsModulo (Mod) CalculatorOn Base Percentage CalculatorEmail ExtractorURL ExtractorConvolution CalculatorDay of the Year Calculator - What Day of the Year Is Today?Hex to BCD ConverterSum of Positive Integers CalculatorMedian CalculatorIP(IPv4/IPv6) Address to Hex ConverterPercent Growth Rate CalculatorAI ParaphraserScientific Notation to Decimal ConverterFirst n Digits of eBCD to Hex ConverterDate CalculatorRatio to Percentage CalculatorWHIP CalculatorPVIF Calculator (High Precision)Hex CalculatorBCD to Binary ConverterList of Prime NumbersNumber ExtractorRandom Word GeneratorDay of Year CalendarCaesar Cipher ToolAdd Prefix and Suffix to TextPVIFA Calculator (High Precision)PER CalculatorRandom Group GeneratorExponential Decay Calculator (High Precision)Hypotenuse CalculatorGeometric Sequence Calculatorlbs to kg ConverterProportion CalculatorPythagorean Theorem CalculatorStandard Deviation Calculator (High Precision)Midrange CalculatorAverage Deviation CalculatorLottery Number GeneratorSHA512 Hash GeneratorBonus CalculatorIP(IPv4/IPv6) Address to Binary ConverterAntilog CalculatorSort Lines AlphabeticallyRandom Object GeneratorQuote FinderDecimal to Binary ConverterExponential Growth Calculator (High Precision)MP3 LooperCm to Inches ConverterAPY to APR CalculatorWAR CalculatorBinary CalculatorPPM to Percent ConverterOne Rep Max (1RM) CalculatorReduce Fractions CalculatorOPS CalculatorBinary to Decimal ConverterMorse Code GeneratorRoot Mean Square CalculatorRemove Line BreaksLeap Years ListDiscount Factor Calculator (High Precision)Decimal to Fraction CalculatorRemove Leading Trailing SpacesSHA3-256 Hash GeneratorRandom Decimal Number GeneratorDjango Secret Key GeneratorIs it a Prime Number?Histogram MakerInches to cm ConverterList of Fibonacci NumbersSample Standard Deviation CalculatorRandom Birthday GeneratorRandom Letter GeneratorRandom Animal GeneratorMD5 Hash GeneratorDerivative CalculatorIntegral CalculatorDouble Integral CalculatorEigenvalue and Eigenvector CalculatorTriple Integral CalculatorMatrix CalculatorVector CalculatorDeterminant CalculatorProbability Distribution CalculatorPolynomial Roots CalculatorSurface Area CalculatorVolume CalculatorProbability CalculatorStatistics CalculatorComplex Number CalculatorRemove PunctuationTitle Case ConverterTime Duration Calculator ⏳TDEE Calculator - Calorie and BMI Calculator 🔥Sleep Calculator 😴Calorie Deficit Calculator 🔥VO2 Max Calculator - Measure Your Aerobic FitnessRunning Pace Calculator🏃Water Intake CalculatorBody Fat Percentage CalculatorMacro Calculator - Determine Your Daily Macronutrient NeedsCalorie Burned CalculatorAI Language DetectorGradient GeneratorImage CropperGIF MakerCollage MakerMortgage Refinance CalculatorStudent Loan Payoff CalculatorAI Sentence ExpanderZ-Score CalculatorEntropy CalculatorPoisson Distribution CalculatorConfidence Interval for Proportion CalculatorFind and Replace TextAPR CalculatorPayback Period CalculatorImmediate Annuity CalculatorNPV CalculatorImage CompressorImage CensorDoubling Time CalculatorIRR CalculatorCompound Savings CalculatorMortgage Comparison CalculatorDestiny Number CalculatorHome Affordability CalculatorCar Depreciation CalculatorHousing Appreciation CalculatorImage FlipperImage RotatorBreak Line by CharactersPower ConverterTemperature ConverterSpeed ConverterShoe Size ConverterEnergy ConverterPressure ConverterVolume ConverterLength ConverterWeight (Mass) ConverterAngle ConverterMolarity CalculatorReverse LineMolar Mass Calculator