Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our User Agreement and Privacy Policy.

Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our Privacy Policy and User Agreement for details.

Like this presentation? Why not share!

- Simple linear regression (final) by Harsh Upadhyay 11264 views
- Regression analysis ppt by Elkana Rorio 62486 views
- Regression analysis by Ravi shankar 37408 views
- Presentation On Regression by alok tiwari 21835 views
- Regression by mandrewmartin 11626 views
- Regression Analysis by nadiazaheer 17162 views

No Downloads

Total views

3,702

On SlideShare

0

From Embeds

0

Number of Embeds

36

Shares

0

Downloads

328

Comments

0

Likes

6

No embeds

No notes for slide

- 1. EXAMPLE • Example of simple linear regression which has one independent variable.
- 2. Least Squares Estimation of b0, b1 • b0 Mean response when x=0 (y-intercept) • b1 Change in mean response when x increases by 1 unit (slope) • b0, b1 are unknown parameters (like m) • b0+b1x Mean response when explanatory variable takes on the value x • Goal: Choose values (estimates) that minimize the sum of squared errors (SSE) of observed values to the straight-line: 2 n 2^ ^ ^ ^ ^ ^y b 0 b1 x SSE i 1 yi y i i 1 yi b 0 b 1 xi n
- 3. The least squares estimate of the slopecoefficient β1 of true regression line is β1= Σ(Xi-X’)(Yi-Y’) Σ (Xi-X’)2 The least squares estimate of the intercept β0 of true regression line is β0 = Y’ – β1x’
- 4. X YTemperature Sales 63 1.52 70 1.68 73 1.8 75 2.05 80 2.36 82 2.25 85 2.68 88 2.9 90 3.14 91 3.06 92 3.24 75 1.92 98 3.4 100 3.28 92 3.17 87 2.83 84 2.58 88 2.86 80 2.26 82 2.14 76 1.98
- 5. Ice Cream Sales 43.5 32.5 21.5 10.5 0 0 20 40 60 80 100 120
- 6. THANK YOU

No public clipboards found for this slide

×
### Save the most important slides with Clipping

Clipping is a handy way to collect and organize the most important slides from a presentation. You can keep your great finds in clipboards organized around topics.

Be the first to comment