"In the table, there is an information about the production (y)"			
	and about investments in 1000 CZK (x) in 12 years.			
	in a firm. 			
a)	Find a linear regression function modelling dependence of a production in the amount of investment.			
b)	By using of the coefficient of determinarion R2 evaluate an accuracy of the regeression function.			
c)	Calculate residuals of the model			
d)	At a level of significance 5% test a statistical significance of regression coefficients			
e)	Write down an 95% confidence interval for regression coeficient b1?			
f)	What is an expected production in the case of an investment of 20.5K CZK (20.5 thousand CZK) ?			
				
	Year	x	y	
	1	16.3	44.4	
	2	16.8	48.4	
	3	18.5	54.2	
	4	16.42	50	
	5	17.9	54.9	
	6	17.4	53.9	
	7	15.7	47	
	8	16.2	52.4	
	9	17	53	
	10	16.7	52.9	
	11	17.5	53.1	
	12	19.1	62	
##### Sheet/List 2 #####
In the table there are results of experiments of a new fertilizer on the production of tomatoes.										
										
a) Choose an appropriate type of a regression model describing dependence of production on an amount of fertilizer										
"    is it appropriate to use a linear function, or a quadratic function?"										
b) Determine an equation of a regression function										
c) By using of the coefficient of determinarion R2 evaluate an accuracy of the regeression function.										
d) Find an optimal level of fertilizer										
										
										
Fertilizer (100 kg/ha) (x)	0.7	1.3	3.8	4.2	2.5	5	5.3	6	5.8	6.2
Production (t/ha)  (y)	12	14.6	40.3	43.7	28	45	41.7	39	35.4	29.6
##### Sheet/List 3 #####
		
Choose an appropriate type of a regression model describing dependence of savings on an income.		
a) Estimate linear regression model		
a) Estimate quadratic regression model		
c) Estimate exponencial regression model		
d) Estimate  powered regression model		
e) Estimate logaritmic regression model		
f) which of models a)-e) discrabes the situation most precisely and why?		
		
	Income (in 1000 CZK) (x)	Savings  (in 1000 CZK) (y)
	104	6
	125	5.6
	146	9.2
	167	14
	111	8
	135	9.1
	189	20.5
	196	29
	205	23.2
	210	38.5
	170	25
	230	40