Read to Lead

Correlation Regression Calculators

Covariance between X and Y Calculator

  • STATISTICS
Coariance for ungrouped data Use this calculator to find the covariance between $X$ and $Y$ for ungrouped (raw) data. Covariance Calculator Enter the X Values (Separated by comma,) Enter the Y Values (Separated by comma,) Calculate Results Number of Obs. (n): Sample Mean of X : ($\overline{x}$) Sample Mean of Y : ($\overline{y}$) Sample variance of X: ($s^2_x$) Sample variance of Y : ($s^2_y$) Sample covariance between X and Y : ($s_{xy}$) Covariance between X and Y for ungrouped data Let $(x_i, y_i), i=1,2, \cdots , n$ be $n$ pairs of observations then the covariance between two variables $X$ and $Y$ is denoted by $cov(x,y)$ or $s_{xy}$ and is given by $$ \begin{aligned} Cov(x,y)=s_{xy} &=\frac{1}{n-1}\sum_{i=1}^{n}(x_i -\overline{x})(y_i -\overline{y})\\ & =\frac{1}{n-1}\bigg(\sum_{i=1}^n xy - \frac{(\sum_{i=1}^n x)(\sum_{i=1}^n y)}{n}\bigg) \end{aligned} $$

Simple Linear Regression Calculator

  • STATISTICS
Simple Linear Regression Use this calculator to fit a simple linear regression model to the given data. Simple Linear Regression   X (Independent Var) Y (Dependent Var) Enter Data (Separated by comma ,) Calculate Results Number of pairs of Obs. (n): Sample Mean: Sample SD : Covariance: Correlation: Regression Coefficients Regression equation Simple Linear Regression Another method $$ \begin{aligned} S_{xx}=\sum_{i=1}^n x_i^2- \frac{(\sum_i x_i)^2}{n} \end{aligned} $$ $$ \begin{aligned} S_{xy}=\sum_{i=1}^n x_iy_i- \frac{(\sum_i x_i)(\sum_i y_i)}{n} \end{aligned} $$

Simple Linear Regression from sum and sum of squares Calculator

  • STATISTICS
Simple Linear Regression From sum and sum of squares Use this calculator to fit a simple linear regression model from summarized data. Simple Linear Regression No. of Pairs of Observations ($n$) Sum of X : ($\sum x$) Sum of Y : ($\sum y$) Sum of X squares : ($\sum x^2$) Sum of Y squares : ($\sum y^2$) Sum of product of X and Y : ($\sum xy$) Calculate Results Mean of X ($\overline{x}$) Mean of Y ($\overline{y}$) Sxx ($S_{xx}$) Syy ($S_{yy}$) Sxy ($S_{xy}$) Correlation between X and Y ($r$) Intercept ($\hat{\beta}_0$) Slope ($\hat{\beta}_1$) Regression equation Simple Linear Regression Another method

Simple Linear Regression from summarize data Calculator

  • STATISTICS
Simple Linear Regression From Summarized Data Use this calculator to fit a simple linear regression model from summarized data. Simple Linear Regression   X (Independent Var) Y (Dependent Var) No.of pairs Mean Variance Covariance Calculate Results s Correlation between X and Y ($r$) Intercept ($a$) Slope ($b$) Regression equation Simple Linear Regression $$ \begin{aligned} \hat{\beta}_1=r\cdot \frac{s_y}{s_x} \end{aligned} $$ $$ \begin{aligned} \hat{\beta}_0=\overline{y}-\hat{\beta}_1 \overline{x} \end{aligned} $$ Related Resources Suggestions and comments will be appreciated.

Testing Correlation Coefficient Part2 Calculator

  • STATISTICS
Testing Correlation Coefficient rho = rho0 T test Calculator for testing correlation coefficient $\rho=\rho_0$   Data 1 : X Data 2 : Y Enter Data (Separated by comma ,) Value of $\rho_0$) Level of Significance ($\alpha$) Tail Left tailed Right tailed Two tailed Calculate Results Number of Observations (n): Pearson's Coefficient of Correlation: $r$ Test Statistic: $Z$ Critical value(s): P-value : Testing Correlation Coefficient rho = rho0 Checkkkk p-value for two tailed

Testing homogeneity of two corr coefficient Calculator

  • STATISTICS
Testing homogeneity of two correlation coefficient Use this calculator to test the homogeneity of two correlation coefficients. Homogeneity of two corr coeff   Sample 1 Sample 2 Number of observations Correlation Coefficient Level of Significance ($\alpha$) Tail Left tailed Right tailed Two tailed Calculate Results Z1: Z2: Z-statistic: Z-Critical value(s): p-value: Homogeneity of two correlation coefficient Checkkkk p-value for two tailed