Sarkar, JyotirmoyRashid, Mamunur2024-01-082024-01-082022-10-03Sarkar, J., & Rashid, M. (2022). Estimating the Parameters of a Simple Linear Regression Model Without Using Differential Calculus. Journal of Probability and Statistical Science, 20(1), 191-203. https://doi.org/10.37119/jpss2022.v20i1.645https://hdl.handle.net/1805/37715To estimate the parameters of a simple linear regression model, students who already know calculus can minimize the total squared deviations by setting its first-order partial derivatives to zero and solving simultaneously. For students who do not know calculus, most teachers/textbooks simply state the formulas without justifying them. Students accept the formulas on faith; and for given data, they evaluate the estimates using a calculator or a statistical software. In this paper, we justify the formulas without invoking calculus. We hope the users of statistics will benefit from our proposed justifications.en-USAttribution 4.0 Internationalleast squares methodpartial derivativesnormal equationspositive definite matrixweighted averageArticle