1(a) Explain briefly, your understanding of the term 'regression analysis'.

(b) A random sample of 10 students who sat for Statistics examination last session revealed the following number of hours studied before the examination and the grades earned in the paper.

Hours of study	20	16	34	23	27	32	18	22	25	33
Exam Grade	64	61	84	70	88	92	72	77	73	77

(i) Fit a Least Square regression line estimating the examination grade given the hour of study.

(ii) Estimate the grade of a student who had studied for 28 hours.

(iii) Rank the data values accordingly, and hence obtain the Spearman Rank Correlation Coefficient.

(c). Label the following examples as regression and correlation type problems. Discuss methods of obtaining a sample and procedures of analysis in each case.

(i) The connection between IQ and Weight of 12 years old girls.

(ii)The connection between City size and amount of Crime.

(iii)The relation between Age and Weight of trout.

(iv)The connection between the size of Brain and Success in life.