Mean annual and mean monthly temperatures of lake taal • The linear relationship between the mean annual and mean monthly surface temperatures of lake taal were measured by pearson correlation. • The correlation coefficient is -0.57. This indicates a moderate downhill linear relationship between the mean annual and mean monthly surface temperatures • A negative correlation represents variables moving in inverse, or opposite, directions. (as one increases the other decreases) • The linear equation tells us that the slope (m) is -0.2897 and the y-intercept (b) is 37.041 (value of y at the point where the line crosses the y axis) • R squared = indicates how well one variable predicts the value of another variable • Specifically, the graph shows that independent variable (x- monthly) can predict the dependent variable (y- annual) with 31.9% or 32% accuracy.
Average Monthly Temperatures in the Philippines and Average Surface Water Temperatures in Lake Taal • The linear relationship between the average monthly temperatures in the philippines and the average surface water temperatures in lake taal were measured by pearson correlation. • The correlation coefficient is 0.91. This indicates a strong uphill linear relationship between the given variables • A positive correlation represents variables moving in tandem. As one variable increases, the other also increases. • The linear equation tells us that the slope (m) is 1.6959 and the y-intercept (b) is -15.262 (value of y at the point where the line crosses the y axis) • R squared = indicates how well one variable predicts the value of another variable. • Specifically, the graph shows that independent variable (x- monthly temp) can predict the dependent variable (y- surface water temp.) with 82% accuracy.