2. LINEAR CORRELATION & LINEAR REGRESSION PROBLEM A biologist is studying field mice particularly if there is a relationship between the caloric intake of a rat and its body mass. The caloric intake of rats varies with body mass as shown below. Body Mass kg (X) 2 3.4 3.6 4.6 5 6 7 8 8.5 9 10 Caloric Intake, cal h-1 (Y) 1.5 2.1 3.2 3.6 3.6 3.9 4.1 4.2 4.5 4.6 5.9 A. Find correlation coefficient (r), correct to 4 decimal places. B. Is there a linear correlation between these results? (Show the scatter diagram.) C. Determine the equation of the regression line of caloric intake or body mass, expressing the slope and y-intercept. (Plot the estimated regression line on the scatter diagram.) D. Estimate the caloric intake when the body mass is 4.8 kg. (Show graph.)

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