{"query": "A parable — Regression mean", "count": 20, "results": [{"id": "card_n_ec6dc6d5b92f", "title": "A parable — Regression mean", "shelf": "codex", "surface": "witness", "snippet": "A man was called lucky, for the dice fell well for him three nights in a row. He believed it, and bet his house on the fourth. The dice did not know they had favored him, and on the fourth night they ", "authority_tier": "operator", "source": "Narrow Highway — original parable", "readable": false, "generated": false}, {"id": "card_bridge_master_sigmoid", "title": "Master equation: y = 1 / (1 + e^(-x))", "shelf": "bridges", "surface": "secular", "snippet": "the S-curve — a soft switch between two states; a near-miss with logistic growth that IS a calculation. ONE equation, 7 domains, connected by a change of variable: economics [x = k(t - t0): the logist", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_calc_normal_equations", "title": "Linear regression (normal equations)", "shelf": "calculations", "surface": "secular", "snippet": "Linear regression (normal equations) — statistics. Formula: (X^T X) b = X^T y. Canonical FORM: linear_system (A x = b) — the best-fit coefficients solve a linear system. Same form, different domain: t", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_src_word_regression_toward_the_mean", "title": "regression toward the mean", "shelf": "dictionary", "surface": "secular", "snippet": "regression toward the mean: (noun) the relation between selected values of x and observed values of y (from which the most probable value of y can be predicted for any value of x) — syn: regression, s", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_openstax_principles_data_science_6_3_machine_learning_in_regression_analy_a1a6fd92", "title": "6.3 Machine Learning in Regression Analysis — Principles of Data Science", "shelf": "reference", "surface": "secular", "snippet": "6.3\n\nMachine Learning in Regression Analysis\n\nLearning Outcomes\n\nBy the end of this section, you should be able to:\n\n6.3.1\nUse bootstrapping to analyze variation in linear regression.\n\n6.3.2\nOutline a", "authority_tier": "reference", "source": "OpenStax: Principles of Data Science (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_word_simple_regression", "title": "simple regression", "shelf": "dictionary", "surface": "secular", "snippet": "simple regression: (noun) the relation between selected values of x and observed values of y (from which the most probable value of y can be predicted for any value of x) — syn: regression, regression", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_statistical_regression", "title": "statistical regression", "shelf": "dictionary", "surface": "secular", "snippet": "statistical regression: (noun) the relation between selected values of x and observed values of y (from which the most probable value of y can be predicted for any value of x) — syn: regression, simpl", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_regression_curve", "title": "regression curve", "shelf": "dictionary", "surface": "secular", "snippet": "regression curve: (noun) a smooth curve fitted to the set of paired data in regression analysis; for linear regression the curve is a straight line — syn: regression line", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_regression_line", "title": "regression line", "shelf": "dictionary", "surface": "secular", "snippet": "regression line: (noun) a smooth curve fitted to the set of paired data in regression analysis; for linear regression the curve is a straight line — syn: regression curve", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_regression", "title": "regression", "shelf": "dictionary", "surface": "secular", "snippet": "regression: (noun) an abnormal state in which development has stopped prematurely — syn: arrested development, fixation, infantile fixation · (noun) (psychiatry) a defense mechanism in which you flee ", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_regression_coefficient", "title": "regression coefficient", "shelf": "dictionary", "surface": "secular", "snippet": "regression coefficient: (noun) when the regression line is linear (y = ax + b) the regression coefficient is the constant (a) that represents the rate of change of one variable (y) as a function of ch", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_linear_regression", "title": "linear regression", "shelf": "dictionary", "surface": "secular", "snippet": "linear regression: (noun) the relation between variables when the regression equation is linear: e.g., y = ax + b — syn: rectilinear regression", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_rectilinear_regression", "title": "rectilinear regression", "shelf": "dictionary", "surface": "secular", "snippet": "rectilinear regression: (noun) the relation between variables when the regression equation is linear: e.g., y = ax + b — syn: linear regression", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_pron_regressions", "title": "regressions", "shelf": "pronunciation", "surface": "secular", "snippet": "regressions: pronounced (ARPABET) R AH0 G R EH1 SH AH0 N Z. From the CMU Pronouncing Dictionary — the standard machine-readable pronunciations of North American English.", "authority_tier": "reference", "source": "CMU Pronouncing Dictionary (cmudict) — BSD-2-Clause, Carnegie Mellon", "readable": false, "generated": false}, {"id": "card_src_word_curvilinear_regression", "title": "curvilinear regression", "shelf": "dictionary", "surface": "secular", "snippet": "curvilinear regression: (noun) the relation between variables when the regression equation is nonlinear (quadratic or higher order)", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_regression_analysis", "title": "regression analysis", "shelf": "dictionary", "surface": "secular", "snippet": "regression analysis: (noun) the use of regression to make quantitative predictions of one variable from the values of another", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_regression_equation", "title": "regression equation", "shelf": "dictionary", "surface": "secular", "snippet": "regression equation: (noun) the equation representing the relation between selected values of one variable (x) and observed values of the other (y); it permits the prediction of the most probable valu", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_regression_of_y_on_x", "title": "regression of y on x", "shelf": "dictionary", "surface": "secular", "snippet": "regression of y on x: (noun) the equation representing the relation between selected values of one variable (x) and observed values of the other (y); it permits the prediction of the most probable val", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_etym_regression", "title": "regression", "shelf": "etymology", "surface": "secular", "snippet": "regression: etymology (Webster 1913) — n.: [L. regressio: cf. F. régression.]. From Webster's Revised Unabridged Dictionary (1913), public domain.", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_pron_regression", "title": "regression", "shelf": "pronunciation", "surface": "secular", "snippet": "regression: pronounced (ARPABET) R AH0 G R EH1 SH AH0 N. From the CMU Pronouncing Dictionary — the standard machine-readable pronunciations of North American English.", "authority_tier": "reference", "source": "CMU Pronouncing Dictionary (cmudict) — BSD-2-Clause, Carnegie Mellon", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_n_ec6dc6d5b92f"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}