egh207 engineering maths 2b · pdf filelesson plan • variables • population and...

EGH207 Engineering Maths 2B

AY2017 S2 W1 (16 Oct 2017)

Topic 1: Descriptive Statistics

Topic 2: Linear Regression and Correlation

WEE WEN SHIH

weews@yahoo.com

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Announcement

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Online sign-up form: http://tinyurl.com/EG2142-AY2017S2

Key Information

• wenshih.wordpress.com/egh207

• ICA (20%, 20%, 20%, 40%)

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Learning Principles

• Acquiring long-term knowledge and skill is

largely dependent on practice.

• Students tend to enjoy learning and perform

better when they are more intrinsically

motivated to achieve.

• Students’ self-regulation assists learning.

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Self-regulated Learning Cycle

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Lesson Plan

• Variables

• Population and Sample

• Measures of Central Tendency

• Measures of Dispersion

• Scatter Diagram

• Correlation Coefficient

• Simple Linear Regression

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Variables

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Variables

Practice: Tutorial 1 Q1

Classify these variables.

(i) Age of a driver (in whole numbers)

(iv) Volume of drink

(vii) Examination grades

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Variables

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Population and Sample

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Salary

100

observed value

Measures of Central Tendency

• Mean

• Mode

• Median

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Measures of Central Tendency

Find the mean, median, and mode profits.

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Measures of Dispersion

• Range

• Interquartile Range

• Sample variance

or standard deviation

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Measures of Dispersion

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Measures of Dispersion

Calculate the sample standard deviation for

Example 1.4.1-1.

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Scatter Diagram

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Scatter Diagram

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Scatter Diagram

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Scatter Diagram

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Correlation Coefficient

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Correlation Coefficient

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Correlation Coefficient

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Simple Linear Regression

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Simple Linear Regression

Give the equations of the regression lines Y on X

for Example 2.3-1.

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Tutorial to Prepare

• Tutorial 1: Q1, Q3, Q5

• Tutorial 2: A1, A2, A3, B1

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