This document discusses regression analysis and statistical modeling. It explains the concept of linear regression, where the relationship between a dependent variable and one or more independent variables is modeled using a linear equation. Linear regression finds the line of best fit for the data and measures how well that line represents the relationship between the variables. The document also introduces the key terms in linear regression models like the slope, y-intercept, variance, and standard error.

1. (‫ا‬‫ا‬‫ا‬)‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬
β
‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬:‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬
‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬:‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬

3. ‫اا‬ ‫ااااا‬ ‫ا‬ ‫ا‬ ‫اا‬ ‫ا‬ ‫ااا‬ ‫اا‬ ‫ا‬ ‫اا‬ ‫ا‬ ‫ا‬
‫ااا‬ ‫ا‬ ‫ااا‬ ‫ااا‬ ‫ا‬ ‫ااااا‬ ‫ا‬ ‫ااااا‬‫اااا‬
‫ااااااااا‬ ‫ااا‬‫ااااا‬ ‫اااا‬ ‫اااا‬ ‫اا‬
(‫اااااا‬ ‫ااا‬ ‫)اااا‬
‫اااااا‬ ‫ااا‬ ‫اا‬ ‫ا‬ ‫ا‬ ‫اا‬ ‫ا‬ ‫ااا‬ ‫اا‬ ‫ا‬ ‫ااا‬
‫ااا‬ ‫ا‬ ‫ااا‬ ‫ااااا‬ ‫ااا‬ ‫ا‬ ‫ااااا‬‫اااا‬
‫اااااااا‬ ‫ا‬‫ااااا‬ ‫ا‬ ‫ااااا‬ ‫ا‬ ‫ااا‬ ‫ا‬ ‫ا‬
(‫ااااا‬ ‫)اااا‬
‫اااا‬ ‫اااااا‬ ‫اااااااا‬ ‫ا‬ ‫ا‬ ‫ااااا‬
‫ااا‬ ‫ااااا‬ ‫اااااا‬ ‫ا‬ ‫ااا‬ ‫ا‬ ‫ااا‬ ‫اااا‬
‫اااااا‬ ‫ا‬ ‫اااا‬ ‫ااااااا‬ ‫ااا‬ ‫ا‬ ‫اا‬

4. 4
‫ااااا‬ ‫اااااا‬
‫اا‬ ‫اااااا‬ ‫ا‬ ‫ا‬
‫ااااا‬ ‫اااااا‬
‫اا‬ ‫ا‬ ‫ااا‬ ‫ااا‬ ‫ا‬
‫ااااا‬ ‫اا‬ ‫ا‬ ‫ااا‬
‫اااااا‬ ‫ااا‬ ‫ا‬
‫ا‬ ‫ا‬30‫ا‬ ‫ا‬40‫ااا‬
‫اا‬ ‫اا‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ااا‬
‫ااااا‬ ‫اااااا‬
‫اااا‬ ‫ا‬‫ا‬‫ااااا‬
‫ااا‬
‫اااا‬
‫اااا‬
‫اااااا‬
‫)اااااا‬
(‫ااا‬
‫اااا‬
‫اااا‬
‫اااا‬
‫)اااااا‬
(‫اااااا‬
‫اا‬
‫اااا‬
‫اااااا‬
‫ااااا‬
‫اااا‬‫اااااا‬
‫ااااا‬
‫اااا‬
10 20 30 40 50

5. ‫ههههه‬
‫ههه‬ ‫ه‬
‫)ههه‬
(‫ه‬
‫هههههه‬
‫ههههه‬
‫)هههه‬
‫هههه‬
(‫ههه‬
‫طط‬
‫ططططططط‬
‫ططططط‬ ‫)طط‬
‫ططططططط‬
(‫ططط‬
‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬ ‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬

6. i
i

7. ‫ههههه‬
‫ههه‬ ‫ه‬
‫)ههه‬
(‫ه‬
‫هههههه‬
‫ههههه‬
‫)هههه‬
‫هههه‬
(‫ههه‬
β>1
β=1
β<1
‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬(
‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬)(
‫هههه‬ ‫هههه‬
‫هههههه‬ ‫ه‬ ‫هههه‬
‫ههه‬ ‫ه‬ ‫ه‬0/5‫ه‬1/5
‫ههه‬ .‫ههه‬ ‫ههههه‬
‫هههه‬ ‫هههه‬
‫ههه‬ ‫ه‬1/5‫ههههه‬

11. i
i
i

13. Var(e( ‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬ ‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬ ‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬ ‫ا‬‫ا‬‫ا‬
4/46 1/20 0 0/25
6/53 1/09 0 0/25
5/79 0/89 0 0/25
3/10 0/89 0 0/25
1/24 1/02 0 1/00
11/2%(=11%(1/02+
0=
4/61=1/24( +3/24+ (2( ^1/02(=

14. ‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬
‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬‫ا‬