ASSIGNED BY: SIR ABDUL SALAAM Co relation & Regression

Presented By : Reihan ali Kango Mahwish Shaikh

Statistics

content Co-relation Definition Graph Problem

Regression Regression Model Equation Applications Problem

The word Correlation is made of Co- (meaning "together"), and Relation

Correlation is a statistical technique used to determine the degree to which two variables are related

Co-relation

Correlation is Positive when the values increase together, and Correlation is Negative when one value decreases as the other increases

Ice Cream Sales vs Temperature

Temperature °C Ice Cream Sales

14.2° $215

16.4° $325

11.9° $185

15.2° $332

18.5° $406

22.1° $522

19.4° $412

25.1° $614

23.4° $544

18.1° $421

22.6° $445

17.2° $408

X Y Xy X2 y2

8 13 104 64 1699 14 126 81 19610 16 160 100 2567 11 77 49 1216 11 66 36 1218 14 112 64 1966 12 72 36 1446 10 60 36 10060 101 777 466 1303

Problem On board

In statistics, regression analysis is a statistical process for estimating the relationships among variables.

It includes many techniques for modeling and analyzing several variables,

when the focus is on the relationship between a dependent variable and one or more independent variables.

Regression

Regression Equation

Regression

simple

linear

Non linear

Regression Model

Applications

If a company's sales have increased steadily every month for the past few years, conducting a linear analysis on the sales data with monthly sales on the y-axis and time on the x-axis would produce a line that that depicts the upward trend in sales. After creating the trend line, the company could use the slope of the line to forecast sales in future months.

The effect of a price increase upon demand, for example, or the effect of changes in the money supply upon the inflation rate.

Problem On board

X Y Xy x2

42 5 210 176427 10 270 72936 8 288 129625 12 300 62522 13 286 48439 7 273 152147 7 329 220919 11 209 36133 9 297 108930 8 240 900320 90 2702 10978

Any Questions ?Thank you..