The following table gives data related to corn yeild (Y) in Iowa from year 1933 to 1962. In addition to Yeild per acre, the following data on the weather pattern of the given year was also recorded - pre season rainfall, average temperature (May, June, July, Aug.) , rainfall (June, July , August)

1. Set up a predictive model for corn yield in each Year
2. State the assumptions that would be made for this model, for the purpose of inference
3. What test of hypotheses would be of interest in for this data?
4. Should the data be altered (transformed) in any way prior to analysis? Why?

Year	prePrecip	MTemp	Jrain	JTemp	Jlyrain	JlyTemp	Arain	ATemp	Yield
1930	17.75	60.2	5.83	69	1.49	77.9	2.42	74.4	34
1931	14.76	57.5	3.83	75	2.72	77.2	3.3	72.6	32.9
1932	27.99	62.3	5.17	72	3.12	75.8	7.1	72.2	43
1933	16.76	60.5	1.64	77.8	3.45	76.1	3.01	70.5	40
1934	11.36	69.5	3.49	77.2	3.85	79.7	2.84	73.4	23
1935	22.71	55	7	65.9	3.35	79.4	2.42	73.6	38.4
1936	17.91	66.2	2.85	70.1	0.51	83.4	3.48	79.2	20
1937	23.31	61.8	3.8	69	2.63	75.9	3.99	77.8	44.6
1938	18.53	59.5	4.67	69.2	4.24	76.5	3.82	75.7	46.3
1939	18.56	66.4	5.32	71.4	3.15	76.2	4.72	70.7	52.2
1940	12.45	58.4	3.56	71.3	4.57	76.7	6.44	70.7	52.3
1941	16.05	66	6.2	70	2.24	75.1	1.94	75.1	51
1942	27.1	59.3	5.93	69.7	4.89	74.3	3.17	72.2	59.9
1943	19.05	57.5	6.16	71.6	4.56	75.4	5.07	74	54.7
1944	20.79	64.6	5.88	71.7	3.73	72.6	5.88	71.8	52
1945	21.88	55.1	4.7	64.1	2.96	72.1	3.43	72.5	43.5
1946	20.02	56.5	6.41	69.8	2.45	73.8	3.56	68.9	56.7
1947	23.17	55.6	10.39	66.3	1.72	72.8	1.49	80.6	30.5
1948	19.15	59.2	3.42	68.6	4.14	75	2.54	73.9	60.5
1949	18.28	63.5	5.51	72.4	3.47	76.2	2.34	73	46.1
1950	18.45	59.8	5.7	68.4	4.65	69.7	2.39	67.7	48.2
1951	22	62.2	6.11	65.2	4.45	72.1	6.21	70.5	43.1
1952	19.05	59.6	5.4	74.2	3.84	74.7	4.78	70	62.2
1953	15.67	60	5.31	73.2	3.28	74.6	2.33	73.2	52.9
1954	15.92	55.6	6.36	72.9	1.79	77.4	7.1	72.1	53.9
1955	16.75	63.6	3.07	67.2	3.29	79.8	1.8	77.2	48.4
1956	12.34	62.4	2.56	74.7	4.51	72.7	4.42	73	52.8
1957	15.82	59	4.84	68.9	3.54	77.9	3.76	72.9	62.1
1958	15.24	62.5	3.8	66.4	7.55	70.5	2.55	73	66
1959	21.72	62.8	4.11	71.5	2.29	72.3	4.92	76.3	64.2
1960	25.08	59.7	4.43	67.4	2.76	72.6	5.36	73.2	63.2
1961	17.79	57.4	3.36	69.4	5.51	72.6	3.04	72.4	75.4
1962	26.62	66.6	3.12	69.1	6.27	71.6	4.31	72.5	76