Difference between Correlation and Regression Analysis Raw materials are used in the production of synthesis and fiber are stored in a place which has no humidity control. Measurement of relative humidity in the storage place and the moisture content of a sample of raw materials (both in percentage)
Difference between Correlation and Regression Analysis
Raw materials are used in the production of synthesis and fiber are stored in a place which has no humidity control. Measurement of relative humidity in the storage place and the moisture content of a sample of raw materials (both in percentage) on 10 days yields the following results.
$$\begin{array}{c|cccccccccc} \text{Humidity % (X)} & 48 & 55 & 30 & 44 & 36 & 31 & 62 & 48 & 42 & 50 \ \text{Moisture content % (Y)} & 11 & 13 & 10 & 12 & 9 & 7 & 16 & 11 & 9 & 14 \ \end{array}$$
i. Compute correlation coefficient between humidity and moisture content and interpret the result.
ii. Find the regression equation of moisture content on humidity.
iii. Estimate the moisture content if humidity is 45%.
iv. Interpret the value of regression coefficient.
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Basis Correlation Regression --------- Meaning Measures degree and direction of linear relationship between two variables Establishes functional relationship to predict one variable from another Purpose Find strength of association Estimate/predict dependent variable Variables Both treated equall...