Class prep · TJ Statistical Models for Data Science

Find the pattern,then write what it supports.

An independent course in statistical modeling. Fit a line, compare groups, and say in words what a coefficient does and does not show. Every problem has a full worked solution. Built by Neil Kothari, a TJ alumnus.

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$395 covers the full school year. The first lesson is free.

Try one. This is a test-level question from the course.

Problem 1

Test level
Multiple choice
No calculator
4 pts

A robotics team recorded battery charge time and how long a small robot then ran. The explanatory variable is charge hours and the response is runtime minutes. The pairs $(x,y)$ are $(1, 2)$ , $(2, 11)$ , $(3, 8)$ , $(5, 14)$ , $(6, 15)$ , $(7, 16)$ . Fit the least-squares line with an intercept. Keep every result as an exact fraction. Which sentence is appropriate?

original problems, each with a worked answer: 624; original problems, each with a worked answer
at test level or beyond: 432; at test level or beyond
short lessons, one for every topic: 48; short lessons, one for every topic
units, all open now: 8; units, all open now

Free lesson

Lesson 1.1: Scatter, Line and Residuals

Read a cloud, name the residual, and keep a slope from becoming a cause.

Start with a scatter, a fitted line and the residuals. Keep the arithmetic exact, then write the conclusion a reader who did not see the data can check.

Problem 2

Core
True or false
No calculator
2 pts

A badminton drill recorded practice serves and how many landed in. The explanatory variable is practice serves and the response is serves in. The pairs $(x,y)$ are $(2, 6)$ , $(5, 9)$ , $(6, 13)$ , $(8, 18)$ . Fit the least-squares line with an intercept. Keep every result as an exact fraction. True or False: The residual at the first pair is $2 - 6$ . Justify.

Problem 3

Core
Multiple choice
No calculator
4 pts

Students recorded uphill blocks walked and heartbeats counted in the next minute. The explanatory variable is uphill blocks and the response is heartbeats. The pairs $(x,y)$ are $(1, 4)$ , $(2, 3)$ , $(3, 7)$ , $(4, 11)$ , $(5, 10)$ . Fit the least-squares line with an intercept. Keep every result as an exact fraction. Which value is the slope?

Open the rest of this lesson, free

The full lesson and all 13 of its problems, with every worked answer.

How it works

Class prep that works alongside class

A complete statistical modeling course for students who have taken AP Statistics. Work alongside your school course or study the material in sequence. Each lesson starts with a small data set, develops the calculation, and shows how to write the conclusion before you try the practice.

Original problems in several formats: true or false, multiple choice, multi-part and free response.
Each one is marked core, test level or beyond.
Least squares, intervals, diagnostics, indicators, ANOVA and logistic models, always with an exact calculation.
A worked answer for every problem, ending with the mistake that most often costs points.
Simple and multiple regression, residual checks, group comparisons, logistic models and a written conclusion that stays inside the data.

What is inside

1Simple linear regression6 lessons · 78 problems
2Inference for a line6 lessons · 78 problems
3Multiple regression6 lessons · 78 problems
4Diagnostics6 lessons · 78 problems
5Indicators and interactions6 lessons · 78 problems
6ANOVA6 lessons · 78 problems
7Logistic regression6 lessons · 78 problems
8Choosing a model6 lessons · 78 problems

The front entrance of Thomas Jefferson High School for Science and Technology

Who built it

Neil Kothari

TJHSST alumnus · Co-founder, EduAvenues · 10+ years in TJ preparation

Neil is a TJ alumnus and has spent more than a decade working with TJ students and their families. He built this course so students can compute a fit exactly and then say what that fit does not identify. Every problem is written for the course and every answer is checked before it goes in.

Tuition

$395for the full school year

One tuition covers every unit of the course. All 8 units are open now. The Scatter, Line and Residuals lesson stays free for everyone.

All 8 units: 48 lessons and 624 original problems
A worked answer for every problem
Access through the end of the school year

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