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The Hindustan Petroleum Corporation Limited (HPCL) has released the HPCL Officers Recruitment 2026 notification for 731 posts including Junior Executive, Engineers, and other officer roles. Here are the key details

  HPCL Officers Recruitment 2026 – Overview Organization: Hindustan Petroleum Corporation Limited Total Vacancies: 731 Posts: Junior Executive, Engineer, Officer (HR, Finance, etc.) Application Mode: Online Start Date: 25 February 2026 Last Date: 25 March 2026 Salary: ₹30,000 – ₹2,80,000 per month (approx. CTC ₹10.88 L – ₹49.30 L per year) 🧾 Vacancy Details (Major Posts) Post Vacancies Junior Executive – Mechanical 207 Junior Executive – Electrical 117 Junior Executive – Civil 19 Junior Executive – Chemical 27 Junior Executive – Quality Control 12 Junior Executive – Fire & Safety 16 Junior Executive Assistant 10 Mechanical Engineer 72 Electrical Engineer 37 Civil Engineer 17 Chemical Engineer 15 Officer – Finance (CA/CMA/MBA) 38 Officer – HR 6 Total 731 🎓 Educational Qualification Depends on the post: Diploma in Engineering – Junior Executive posts B.E./B.Tech – Engineer posts MBA / CA / CMA / Graduation – HR / Finance roles ...
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Reserve Bank of India RBI Assistant Recruitment 2026 - Apply Online for 650 Posts

Reserve Bank of India RBI Assistant Recruitment 2026 - Apply Online for 650 Posts 🏦 Reserve Bank of India (RBI) Assistant Recruitment 2026 – 650 Posts The RBI Assistant Recruitment 2026 notification has been released for 650 Assistant vacancies across RBI offices in India. Eligible graduates can apply online through the official RBI website.  📋 Recruitment Overview Organization: Reserve Bank of India (RBI) Post Name: Assistant Total Vacancies: 650 Application Mode: Online Notification Release Date: 16 February 2026 Last Date to Apply: 8 March 2026 Job Location: Across India Official Website: rbi.org.in  🎓 Educational Qualification Candidates must have: Bachelor’s Degree in any discipline from a recognized university Minimum 50% marks (pass marks for SC/ST/PwBD candidates) Knowledge of word processing on computer Proficiency in the local language of the state/region applied for  🎂 Age Limit (as on 1 Feb 2026) Minimum Age: 20 years Maximum Age: 28 years Age Relaxation: ...
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Curvilinear Regression – Problems & Solutions

   Curvilinear Regression – Problems & Solutions Curvilinear regression is used when the relationship between variables is not linear (not a straight line) . Common forms: Quadratic (Parabolic): Y = a + b X + c X 2 Y = a + bX + cX^2 Y = a + b X + c X 2 Exponential: Y = a b X Y = a b^X Y = a b X Power function: Y = a X b Y = aX^b Y = a X b 🔵 Problem 1: Quadratic (Parabolic) Regression 🔹 Given Data X -2 -1 0 1 2 Y 7 2 1 2 7 Fit equation: Y = a + b X + c X 2 Y = a + bX + cX^2 Y = a + b X + c X 2 ✅ Step 1: Normal Equations For quadratic regression: ∑ Y = n a + b ∑ X + c ∑ X 2 \sum Y = na + b\sum X + c\sum X^2 ∑ Y = na + b ∑ X + c ∑ X 2 ∑ X Y = a ∑ X + b ∑ X 2 + c ∑ X 3 \sum XY = a\sum X + b\sum X^2 + c\sum X^3 ∑ X Y = a ∑ X + b ∑ X 2 + c ∑ X 3 ∑ X 2 Y = a ∑ X 2 + b ∑ X 3 + c ∑ X 4 \sum X^2Y = a\sum X^2 + b\sum X^3 + c\sum X^4 ∑ X 2 Y = a ∑ X 2 + b ∑ X 3 + c ∑ X 4 ✅ Step 2: Compute Required Sums Prepare table: X Y X² X³ X⁴ XY X²Y -2 7 4 -8...
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Regression Coefficients – Problems, Properties & Solutions

  Regression Coefficients – Problems, Properties & Solutions 🔹 1️⃣ Meaning of Regression Coefficients In simple linear regression: Y = a + b y x X Y = a + b_{yx}X Y = a + b y x ​ X b y x b_{yx} b y x ​ = Regression coefficient of Y on X b x y b_{xy} b x y ​ = Regression coefficient of X on Y They measure the rate of change of one variable with respect to the other. 🔑 Important Properties of Regression Coefficients Same Sign Property Both b y x b_{yx} b y x ​ and b x y b_{xy} b x y ​ have the same sign as correlation (r). Product Rule b y x ⋅ b x y = r 2 b_{yx} \cdot b_{xy} = r^2 b y x ​ ⋅ b x y ​ = r 2 Correlation Relation r = ± b y x ⋅ b x y r = \pm \sqrt{b_{yx} \cdot b_{xy}} r = ± b y x ​ ⋅ b x y ​ ​ Independent of Change of Origin Regression coefficients do not change if origin changes. Not Independent of Scale They change if scale changes. If one regression coefficient is greater than 1 , the other must be less than 1 . 🔢 Pr...
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