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Three Pairs Intercept Regression Prediction Calculator

Three Pairs Intercept Regression Prediction Calculator — Exactly three whole-number pairs plus a whole-number query; no predictive certainty, polynomial fitting or statistical inference.

YOUR INPUTS Live calculation

Exactly three whole-number pairs plus a whole-number query; no predictive certainty, polynomial fitting or statistical inference. Calculations use finite-precision arithmetic.

Accepted inputs: X1 value: -1,000 to 1,000 number; X2 value: -1,000 to 1,000 number; X3 value: -1,000 to 1,000 number; Y1 value: -1,000 to 1,000 number; Y2 value: -1,000 to 1,000 number; Y3 value: -1,000 to 1,000 number; QUERY value: -1,000 to 1,000 number.

Example values. Enter your own inputs.

Result

5.142857143number

How the calculation works

Use the least-squares slope and intercept, collected into one integer numerator before division.

Worked example

With x1 value 1 number, x2 value 2 number, x3 value 4 number, y1 value 2 number, y2 value 5 number, y3 value 6 number, query value 3 number, result is 5.142857143 number.

Assumptions and limits

Exactly three whole-number pairs plus a whole-number query; no predictive certainty, polynomial fitting or statistical inference. Calculations use finite-precision arithmetic.

Result5.142857143 number
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