The marks that a particular student obtains in an examination may depend on the hours spent for studying. To analyze this puzzling possibility, a student took a random sample of 7 students who had enrolled in a statistics class, previous semester. He asked each to report his or her marks in the course and the total number of hours spent studying. The data are as follows.  Marks Obtained 63 86 51 78 65 90 49 Hours Spent Studying 42 47 26 44 32 48 27 i. Calculate the coefficient of correlation.and  Calculate the coefficient of determination. ii. Determine the Regression line. iii. What do the statistics calculated above tell you about the relationship between marks and study time?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.