Mathematics in modern world

📘 Pearson Correlation & Linear Regression Cheat Sheet


🧠 PEARSON PRODUCT-MOMENT CORRELATION & LINEAR REGRESSION

🔹 1. CORRELATION

📌 Definition

Correlation measures the strength and direction of a relationship between two variables.

⚠️ Correlation does NOT imply causation.


📊 TYPES OF CORRELATION

Type Description Graph Trend
📈 Positive Correlation Variables increase/decrease together Upward slope
📉 Negative Correlation One increases while the other decreases
...

See on Student Notes »

ACIS FINAL exam

Chapter 10. Types of PPE 

Tangible — Depreciated Buildings, equipment, machinery, furniture, autos, trucks, land improvements, natural resources (depletion)  NOT depreciated Land (never) | Construction in progress | Assets held for sale

Tangible — what to capitalize (equipment)  Purchase price + sales tax + freight + shipping insurance + installation + special foundation + trial runs (net of scrap) + legal fees to establish title  Land traps Delinquent taxes → capitalize | Current-year

...

See on Student Notes »

ap exam

2

 Synthesis Essay Template

Introduction

[Hook: rhetorical question, statistic, anecdote, bold statement, societal observation] In recent years, the issue of __ has become increasingly controversial as society continues to debate whether __. Supporters of __ argue that __, emphasizing __ and __. However, critics contend that __, suggesting that __. This debate remains significant because it affects __, influences __, and shapes __. [Defend]: Ultimately, __ is [beneficial/effective/valuable/necessary]...

See on Student Notes »

dkfkfk

Antitubercular Drugs

Antitubercular drugs are the drugs used for the treatment of tuberculosis (TB) caused by Mycobacterium tuberculosis. These drugs are divided into first-line and second-line drugs. The first-line drugs are the most effective and are routinely used in all new cases of TB. They include Isoniazid (H), Rifampicin (R), Pyrazinamide (Z), Ethambutol (E), and Streptomycin (S). Second-line drugs are used in multidrug-resistant TB (MDR-TB) and include levofloxacin, moxifloxacin, amikacin,...

See on Student Notes »

gudugg

Q1 (a) Value and Value Education

Value: Value means the importance of right understanding and right conduct in human life.
Value education: It helps a person understand human values and live a happy and ethical life.

Q1 (b) Basic Human Aspirations

The basic human aspirations are continuous happiness and prosperity.
All human beings work in daily life to achieve these aspirations.

Q1 (c) Difference between Self and Body

Self (I): Conscious entity that feels, thinks, and desires.

Body: Physical entity

...

See on Wikiteka »

historia

Zasady Demo pan praw :państwa prawnego-władza działa tylko w granicach prawa :suwerenności ludu-obywatele sa najwyższym źródłem władzy :przedstawicielstwa-rządziły poprzez wybranych przez wybranych w wyborach reprezentantów :podziału władzy-równowaga trzech władz:ustawodawczej, wykonawczej,sądowniczej :pluralizmu politycznego-wolność tworzenia partii i głoszenia różnych poglądów. wolności ob- godność i wolność, życie i nietykalność, sprawiedliwy proces, ochrona małżeństwa...

See on Wikiteka »

maths 4 ut notes

(a) Solve the partial differential equation (D² − 3DDʹ)z = 0.

The auxiliary equation is obtained by replacing D with m and Dʹ with 1:

m² − 3m = 0 ⇒ m(m − 3) = 0 ⇒ m = 0, 3

Solution: z = f₁(y) + f₂(y + 3x)

(b) Classify the PDE: 4∂²u/∂x² − 4∂²u/∂x∂t + ∂²u/∂t² = 0

 Comparing with A·u_xx + B·u_xt + C·u_tt = 0: A = 4, B = −4, C = 1

Discriminant = B² − 4AC = 16 − 16 = 0

Since B² − 4AC = 0, the equation is Parabolic.

(c) Write the formula for Rank

...

See on Student Notes »

Amevvvvvv

## **UNIT-I: Word Formation and Roots**
### **The Process of Word Formation**
English expands its vocabulary through several mechanical processes:
 * **Derivation:** This involves adding **affixes** (prefixes or suffixes) to a root word to change its meaning or grammatical category.
   * *Example:* Adding "-ness" to the adjective "happy" creates the noun "happiness."
 * **Compounding:** Joining two or more complete words to create a new concept.
   * *Example:* "Sun" + "flower" = "Sunflower"; "Notebook.

...

See on Student Notes »

Punjvfy

 1. ਵਾਕ ਰਚਨਾ (Sentence Structure)
ਵਾਕ ਭਾਸ਼ਾ ਦੀ ਸਭ ਤੋਂ ਵੱਡੀ ਸੁਤੰਤਰ ਇਕਾਈ ਹੈ। ਵਾਕ ਰਚਨਾ ਦੇ ਮੁੱਖ ਦੋ ਭਾਗ ਹੁੰਦੇ ਹਨ:       *ਉਦੇਸ਼ (Subject):** ਵਾਕ ਵਿੱਚ ਜਿਸ ਬਾਰੇ ਗੱਲ ਕੀਤੀ ਜਾਵੇ।
 * **ਵਿਧੇ (Predicate):** ਉਦੇਸ਼ ਬਾਰੇ ਜੋ ਕੁਝ ਕਿਹਾ ਜਾਵੇ।
**ਬਣਤਰ ਦੇ ਆਧਾਰ

...

See on Student Notes »