1. Question One [25 Marks]

a. The following data were collected by a student from a sample of 10 farmers in a village:

Maize (land area) (ha)	Maize output (tons)	Rice (land area) (ha)	Rice output (tons)	Age (years)	Household size	Market Distance (kms)
15	10	16	65	35	5	15
18	14	19	54	52	6	14
19	32	22	58	62	4	17
20	42	20	75	55	8	18
22	26	25	45	53	7	16
17	14	23	46	95	9	14
19	12	24	54	52	6	14
19	22	22	50	64	8	14
25	52	19	55	86	7	15
26	46	20	78	66	10	13

i. Compute the mean deviation for age, household size and market distance.

[6]

ii. Find the Spearman rank correlation coefficient between rice land area and rice output. [6]

iii. Carry out a regression analysis to estimate the values of a and b given that

Yi =a +bXi (note: Yi is maize output and Xi is maize land area. [8]

iv. Compute the coefficient of determination and interpret it. [5]