Simple Linear Regression

نویسنده

  • W. Robert Stephenson
چکیده

One of the most widely used statistical techniques is simple linear regression. This technique is used to relate a measured response variable, Y, to a single measured predictor (explanatory) variable, X, by means of a straight line. It uses the principle of least squares to come up with values of the “best” slope and intercept for a straight line that approximates the relationship. By means of the example below we motivate the technique, indicate the rationale underlying the calculations and come up with the formulas for the “best” slope and intercept based on the data.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

New Approach in Fitting Linear Regression Models with the Aim of Improving Accuracy and Power

The main contribution of this work lies in challenging the common practice of inferential statistics in the realm of simple linear regression for attaining a higher degree of accuracy when multiple observations are available, at least, at one level of the regressor variable. We derive sufficient conditions under which one can improve the accuracy of the interval estimations at quite affordable ...

متن کامل

A Simple and Specific Stability- Indicating RP-HPLC Method for Routine Assay of Adefovir Dipivoxil in Bulk and Tablet Dosage Form

A simple and reliable stability-indicating RP-HPLC method was developed and validated for analysis of adefovir dipivoxil (ADV).The chromatographic separation was performed on a C18 column using a mixture of acetonitrile-citrate buffer (10 mM at pH 5.2) 36:64 (%v/v) as mobile phase, at a flow rate of 1.5 ml/min. Detection was carried out at 260 nm and a sharp peak was obtained for ADV at a reten...

متن کامل

A Simple and Specific Stability- Indicating RP-HPLC Method for Routine Assay of Adefovir Dipivoxil in Bulk and Tablet Dosage Form

A simple and reliable stability-indicating RP-HPLC method was developed and validated for analysis of adefovir dipivoxil (ADV).The chromatographic separation was performed on a C18 column using a mixture of acetonitrile-citrate buffer (10 mM at pH 5.2) 36:64 (%v/v) as mobile phase, at a flow rate of 1.5 ml/min. Detection was carried out at 260 nm and a sharp peak was obtained for ADV at a reten...

متن کامل

Phase II monitoring of multivariate simple linear profiles with estimated parameters

In some applications of statistical process monitoring, a quality characteristic can be characterized by linear regression relationships between several response variables and one explanatory variable, which is referred to as a “multivariate simple linear profile.” It is usually assumed that the process parameters are known in Phase II. However, in most applications, this assumption is viola...

متن کامل

Development and validation of a fast, simple and specific stability indicating RP-HPLC method for determination of Dexpanthenol in eye gel formulation.

AIn this study a simple and reliable stability-indicating RP-HPLC method was developed and validated for analysis of Dexpanthenol in an artificial tear formulation. The chromatographic separation was performed on a HPLC C18 column (25.0 cm  4.6 mm, 5 m) using a mixture of 0.037 M monobasic potassium phosphate in water (adjusted with 0.1% (v/v) phosphoric acid to a pH of 3.2) and methanol (90:...

متن کامل

Development and validation of a fast, simple and specific stability indicating RP-HPLC method for determination of Dexpanthenol in eye gel formulation.

AIn this study a simple and reliable stability-indicating RP-HPLC method was developed and validated for analysis of Dexpanthenol in an artificial tear formulation. The chromatographic separation was performed on a HPLC C18 column (25.0 cm  4.6 mm, 5 m) using a mixture of 0.037 M monobasic potassium phosphate in water (adjusted with 0.1% (v/v) phosphoric acid to a pH of 3.2) and methanol (90:...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003