2 Sample T-Test (Compare Means, Unequal Variances), Introduction to Least Squares Linear Regression

Probability and Statistics for Engineers and Scientists class. Two sample T-test to compare population means when the population variances are not equal. Introduce least squares linear regression. https://amzn.to/3Hd7tFN (Probability and Statistics with Applications, a Problem-Solving Text) 🔴 Probability and Statistics with Applications, a Problem-Solving Text: https://amzn.to/3Hd7tFN Use LinReg on a TI graphing calculator. Also do regression on Excel. Links and resources =============================== 🔴 Subscribe to Bill Kinney Math: https://www.youtube.com/user/billkinn... 🔴 Subscribe to my Math Blog, Infinity is Really Big: https://infinityisreallybig.com/ 🔴 Follow me on Twitter:   / billkinneymath   🔴 Follow me on Instagram:   / billkinneymath   🔴 You can support me by buying "Infinite Powers, How Calculus Reveals the Secrets of the Universe", by Steven Strogatz, or anything else you want to buy, starting from this link: https://amzn.to/3eXEmuA. 🔴 Check out my artist son Tyler Kinney's website: https://www.tylertkinney.co/ ⏱️TIMESTAMPS⏱️ (0:00) Topics to come (0:58) Comparing means problem (2:23) Enter data in STAT mode on TI graphing calculator (4:18) Hypothesis test set up (right-tailed test) (8:17) What is the degrees of freedom? (Use Smith-Satterthwaite or technology) (9:02) Use TI calculator to do a 2 Sample T-Test (Compare Means, Unequal Variances). The calculator approximates df (the degrees of freedom). (21:25) Confidence interval to estimate the difference between the population means (29:29) Introduction to least squares linear regression (32:49) Make a scatterplot (38:24) Use LinReg on TI calculator and write linear regression equation in two ways (47:46) Formulas for slope and intercept (49:44) SS formulas (53:08) The formulas are derived using multivariable calculus (partial derivatives and critical points) (55:05) SSE is sum of squares of errors, where "error" is synonymous with "residual" (58:20) Finish the problem AMAZON ASSOCIATE As an Amazon Associate I earn from qualifying purchases.