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Simple linear regression
  Performs a simple linear regression analysis on user-supplied data.
2024.Jul.03 18:24:51
n Number of data. •
X data Independent variable, X
Y data Dependent variable, Y
Switch X and Y ?   (No: as above; Yes: opposite) Switch the values above (indep. and dep. vars.).
Through origin ? No Yes Constrain line to pass through the origin. •
xT, yT Trial x and y for estimation. •
Show values Shows the coordinates of the graph. •
 From a given set of data (points, observations), calculates the straight line,  y = a0 + a1 x,  that best fits the data.
 If "switch", the X and Y are switched just after being printed.
 For xT and yT, the estimated yˆT and xˆT, respectively, are calculated, with their confidence intervals.
 [The Pr above F (its p-value) tests a null slope (no influence): Pr(a1 ≠ 0). I.e., if small p-value, a1 ≠ 0.]
 Other suggested data:
n = 10   X =  75 80 93 65 87 71 98 68 84 77
Y =  82 78 86 72 91 80 95 72 89 74
a0, 1 = 29.13, 0.661;
  (switch) −14.39, 1.15
[Spiegel, 1975, 300,
Pr. 8.67]
n = 20   X =  5.5 4.8 4.7 3.9 4.5 6.2 6.0 5.2 4.7 4.3 4.9 5.4 5.0 6.3 4.6 4.3 5.0 5.9 4.1 4.7
Y =  3.1 2.3 3.0 1.9 2.5 3.7 3.4 2.6 2.8 1.6 2.0 2.9 2.3 3.2 1.8 1.4 2.0 3.8 2.2 1.5
a0, 1 = −1.700, 0.840 [Marshall, 2005, 5]
References: Plate: SimpLinReg08819

• Hester, Jerry D.: Linear Regression & Excel (Excel Tutorials), Clemson Univ..

• Resnick, Paul: Chap. 11.pps [McClave & Sincich, 2003?] (SI 644--Introductory Statistics & Data Analysis, Univ. of Michigan).

• Lacey, Michelle: ANOVA for regression (Dept. Stat., Yale Univ.), Tulane Univ..

• Shine, Annette D.: Fitting data.pdf (=), Univ. Delaware (S. I. Sandler).

• Morrell, Christopher H.: Regression through the origin.pdf (accessed 2008-08-19) (=), Loyola Coll..

• Weisstein, Eric W., "Least squares fitting". From MathWorld — a Wolfram Web Resource (accessed 2008-08-19).

• Taylor, John R., 1997, "An introduction to error analysis", 2.nd ed., Univ. Sci. Books (USB), Sausalito, CA (USA) (intro IE).

• McClave, James T. and Terry Sincich, 2003?, "Statistics", 9.th ed. (now 11.th), Pearson Intn'l Ed. (Pr.-Hall).

• Spiegel, Murray R., 1975, Schaum's Outline Series, "Theory and problems of Probability and Statistics", McGraw-Hill Book Co., New York, NY (USA), ISBN 0-07-060220-4; 1980, ISBN 0-07-084356-2; 2000, ISBN 0-07-135004-7.

• Marshall, J. Brooke: Simple Linear Regression.pdf Examples (Virginia Tech).

• 1584-08-19: Vernier, Pierre, birthday. [Compare with Clavius (1538–1612) and Pedro Nunes (1502–1578) about the vernier or —generally absent from the dictionaries— nonius.]

 
 
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Created: 2008-08-19 — Last modified: 2008-09-15