The equation for the line of best fit is \( y=1.05 x+11.2 \). What length does this equation predict for a 24-gram stick? Round your answer to the nearest tenth. centimeters

To find the predicted length for a 24-gram stick using the equation \( y = 1.05 x + 11.2 \), plug in \( x = 24 \): \[ y = 1.05(24) + 11.2 \] \[ y = 25.2 + 11.2 \] \[ y = 36.4 \] So, the predicted length for a 24-gram stick is 36.4 centimeters. In real-world scenarios, such predictive equations are often used in various fields like biology and material science to determine how the properties of materials change based on their weight or composition. For instance, engineers might utilize similar models to predict the strength or flexibility of materials based on their dimensions and weight. Remember that when using the line of best fit, we are making predictions based on trends observed in data, and it's essential to consider the credibility of the dataset. Always double-check for outliers or anomalies that might skew the line and lead to unexpected results. A common mistake is assuming that the predictions are perfect; while models provide valuable insights, real-world complexities can lead to variations.