Problem 1 ANOVA says: At least one of the columns is different (p=8e-4). (Null hypothesis: all column means are same.) CORRELATION says: There is a positive correlation; p=0.025. GRAPH: below. The line isn't a great fit to the data, but there is clearly an overall upward trend over time. The error bars are 95% confidence based on each column's variance and N.
	date	may	june	july	aug	sep
	1	67	78	84	81	91
	2	72	74	85	81	92
	3	74	67	81	82	93
	4	62	84	84	86	93
	5	56	85	83	85	87
	6	66	79	83	87	84
	7	65	82	88	89	80
	Anova: Single Factor
							r	0.922815279
	SUMMARY						r_err	0.222419993
	Groups	Count	Sum	Average	Variance		p-value	0.025441212
	may	7	462	66	36.33333333
	june	7	549	78.42857143	39.61904762		T = A * month + B
	july	7	588	84	4.666666667		A	5.114285714
	aug	7	591	84.42857143	9.952380952		B	44.48571429
	sep	7	620	88.57142857	25.61904762
	ANOVA
	Source of Variation	SS	df	MS	F	P-value	F crit
	Between Groups	2150	4	537.5	23.13012295	8.40524E-09	2.689627574
	Within Groups	697.1428571	30	23.23809524
	Total	2847.142857	34
	descriptive statistics	may	june	july	aug	sep
		5	6	7	8	9
	Mean	66	78.42857143	84	84.42857143	88.57142857
	Standard Error	2.27826166	2.379046857	0.816496581	1.192379431	1.913077088
	Median	66	79	84	85	91
	Mode	#N/A	#N/A	84	81	93
	Standard Deviation	6.027713773	6.29436634	2.160246899	3.154739443	5.061526214
	Sample Variance	36.33333333	39.61904762	4.666666667	9.952380952	25.61904762
	Kurtosis	0.132362596	0.675495793	1.885714286	-1.641212426	-0.577288871
	Skewness	-0.357979534	-1.007883883	0.83323809	0.161070028	-0.901178438
	Range	18	18	7	8	13
	Minimum	56	67	81	81	80
	Maximum	74	85	88	89	93
	Sum	462	549	588	591	620
	Count	7	7	7	7	7
	Confidence Level(95.0%)	5.574705445	5.821317936	1.997895156	2.917647355	4.68113099
	2* stnd error	4.55652332	4.758093713	1.632993162	2.384758862	3.826154176
	graph error bars are 2 * stnd error
	which is about 95% confidence for each mean