Unit Test 5 - Exploring bivariate numerical data (From Khan Academy)

Q1: Correlation coefficient

Q2: Least squares regression line

Sol 2:

Q3: Scatter plot and line of best fit

Q4: Residual

Q5: Interpretation of slope

Q6: Non linear association

Q7: Scatterplot construction

Q8: Residuals from line of regression

Q9: Coefficient of determination (sq(R))

Q10: Interpretation of scatter plot for equation of line of regression

Sol 10:

Q11: Scatter plot building

Q12: Identifying the association from scatter plot

Unit 11 - Confidence intervals (Statistics)

1: Expected value with empirical probabilities

1.1:







1.2:










1.3:




Answer: 







1.4:







2: Conditions for a confidence interval (z interval) for a proportion

2.1:




2.2:




2.3:




2.4:




3: Finding the critical value z for a desired confidence level

3.1:
















3.2:










3.3:















3.4:

Tags: Math,Statistics

Index of Math Lessons

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Level 1

Counting

1. Counting Till 20 (Auto-reader)
2. Counting (Read it loud)
3. Counting as in Table of 10 (Auto-reader)
4. Counting Till 20 (Auto-reader) With Images
5. "Lesser Than, Greater Than" Exercise of Numbers

Addition

1. Learn Addition by Counting Sticks

Level 2

1. Learn Multi-Digit Addition by Counting Sticks
2. Detailed Solution to Upto Three Digit Subtraction

Level 7

Lowest Common Multiple

1. Lowest Common Multiple (LCM) of Two Numbers
2. Lowest Common Multiple (LCM) of Three Numbers

Highest Common Factor

1. HCF of Two Numbers Using Long-Division Method

Level 8

Rational Numbers

1. Adding two fractions using HCF

Level 11

Sets

1. Lesson 1 - Introduction to Sets (And visualization using Venn Diagrams)
2. Lesson 2 - Some more examples of Sets

Calculus

1. What are Hyperbolic Functions?
2. Derivatives of Hyperbolic Functions

Permutation and Combination

1. Visualizing Permutation-Combination Problem Using JavaScript
2. Visualizing "What's Permutations" using Alphabets and JavaScript
3. Visualize P formula and C formula

Derangement Theorem

1. Deriving Derangement Theorem
2. Problem on Derangement Theorem

Vectors

1. Cartesion and Polar Representation of 2D Vector

Level: Engineering

Matrices

1. Moore Penrose Pseudoinverse

Probability

1. Bernoulli Distribution and Binomial Distribution
2. Gaussian Distribution (or Normal Distribution)
3. Exponential Probability Distribution

Apps

1. Calculator

Tags: Mathematical Foundations for Data Science,Statistics