In: Statistics and Probability
A container of one dozen large eggs was purchased at a local grocery store. Each egg was measured to determine its diameter (in millimeters) and weight (in grams). The results for the 12 eggs are given in the following table. Weight is the dependent variable. Calculate the r-sqr, correlation coefficient, and explain each value.
Index 1 2 3 4 5 6 7 8 9 10 11 12
Diameter (mm) 42.2 45.45 47.8 47.4 47.7 43.5 44.4 43.9 46.2 45.9 44.3 44.5
Weight (grams) 52.8 58.5 60.2 59 57.4 54.1 53.9 54.5 56.2 55.8 54.3 56.1
the value of r indicates that the degree of positive linear relationship between weight and diameter is 0.875.
The r^2 indicates that about 76.57% of variability in weight is explained by the diameter.