Statistics and paired data

Statistics and Regression Calculator for Windows

Calculate supported descriptive statistics and linear regression, then inspect paired data and the fitted regression line visually in the same Windows workspace. SumWise keeps vector input, numeric results, correlation, and graphing together without presenting itself as a full statistics package.

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SumWise 2.4 showing five data points, a fitted regression line, slope, intercept, correlation, and R squared.
Turn two small vectors into a scatter plot with a fitted line and a concise regression summary.

Practical Statistics Workflows

SumWise supports common introductory calculations useful for class exercises, tutoring demonstrations, small data checks, and technical exploration. Descriptive functions accept scalar arguments or one vector of real values, while paired-data helpers accept scalar pairs or two vectors with matching lengths.

Start with familiar descriptive calculations:

mean(vector(1,2,3,4))
standard_deviation(vector(1,2,3,4))

The current standard_deviation(...) function reports sample standard deviation. Additional supported descriptive functions are discoverable through the in-app Function Reference.

Provide Paired x and y Data with Vectors

Regression begins with two vectors: one for x-values and one for corresponding y-values. Position matters. The first x-value pairs with the first y-value, the second with the second, and so on. Both vectors must contain the same number of real numeric entries.

vector(1,2,3,4,5)
vector(2,4,5,4,5)

Vectors are also used by other SumWise workflows, including descriptive statistics, matrix/vector calculations, and data plots. See the examples page for a compact cross-section of current vector syntax.

Calculate Correlation

Pearson correlation summarizes the direction and strength of a linear relationship in paired data. Use two vectors directly:

correlation(vector(1,2,3), vector(2,4,6))

Correlation describes linear association; it does not by itself establish causation or validate a predictive model. SumWise reports the calculation for the data you supply without replacing the broader judgment required in statistical analysis.

Calculate a Linear Regression Result

The supported linear-regression function returns a 1-by-2 row matrix in the form [slope, intercept]. For a perfectly linear example, enter:

linear_regression(vector(1,2,3), vector(2,4,6))

The slope describes the fitted change in y for a one-unit change in x. The intercept is the fitted y-value when x equals zero. These are introductory least-squares results for the paired data supplied to the function.

Inspect the Data and Fitted Line

Use graph_regression(...) when you want the data points, fitted line, and regression summary together:

graph_regression(vector(1,2,3,4,5), vector(2,4,5,4,5))

For this verified public example, SumWise reports five points, slope 0.6, intercept 2.2, correlation 0.774597, and R-squared 0.6. The displayed fitted line is y = 0.6*x + 2.2. The graph makes it easier to see both the upward trend and the points that do not lie exactly on the fitted line.

Follow the complete linear regression with vector data tutorial for a careful interpretation of this small example.

Continue in the Same Math Workspace

Regression is not isolated from the rest of the calculator. You can reuse vectors in descriptive calculations, keep results in history, use scientific functions and units, and move to matrices or other graphs as your work requires. This is useful when a small data task sits inside a broader mathematical calculation.

Runs Locally on Windows

Once SumWise is installed, supported statistics, regression, and graph preparation run locally rather than through a browser-based calculation service. Microsoft Store manages installation, trial, purchase, and license verification.

Honest Statistics Scope

SumWise supports descriptive statistics, correlation, introductory paired-data linear regression, scatter plots, and regression plots. It is not a comprehensive statistical-analysis package and does not claim multiple regression, hypothesis testing, ANOVA, time-series modeling, or universal data import. Important decisions should use appropriate statistical methods and independent verification.

Statistics and Regression FAQ

What does linear_regression() return?

For supported paired data, it returns a 1-by-2 row matrix containing the fitted slope and intercept.

Can SumWise graph the regression?

Yes. graph_regression(...) displays the paired points, fitted line, and a concise summary including correlation and R-squared.

Do the vectors need matching lengths?

Yes. The x and y vectors represent paired observations and must have the same number of real numeric entries.

Is SumWise a full statistics package?

No. It covers practical introductory statistics and linear-regression workflows inside a broader Windows math application.

Try regression and statistics in SumWise

Full access for 7 days. Continue afterward for a one-time $24.99 purchase. No subscription.

Try SumWise free for 7 days