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  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 ...

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: ...

   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...

  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...