problem:1 the following are the sales and profits of a company for the last 6 day:

sales('000' tk)	profit('000' tk)
6	1
7	1
8	3
11	5
12	6
10	4

1. Calculate the (Pearson's)correlation coefficient(r) between sales and profit and comment 2. Find the relationship between sales and profit by scatter diagram and comment (interpret) 3. Fit a (least squared) regression line of profit on sales and comment (ordinary least square method) 4. If sale is 15 ('000'tk) what is profit? 5. Find coefficient of determination(r*r)(how well the regression line is fitted)

problem-2. The demand and price of a specific products are given the following table.

Demand(kg)	price(tk)
10	25
8	37
9	40
7.5	45
5	48
4.5	50
3	55
2	70

1. fit a least square regression equation(line) of demand on price and comment

2. What will be demand when the price is 52 (tk) and 10 (tk) 3. Find correlation coefficient and comment and comment 4. Find coefficient of determination (how well the regression line is fitted) 5. Find the relationship between demand and price by scatter diagram and comment(interpret)

problem-3. A department of transportation's study on driving speed and mileage for midsize automobile resulted in the following table:

Driving speed	30	40	50	55	25
Mileage	27	25	30	35	22

a. Is there any the relationship between Driving speed and Mileage? Verify your answer b. Find the regression equation of driving speed on mileage.

c. What will be mileage when speed is 45? d. Test the fitness of your regression model with explanation