Medical researchers often use linear regression to understand the relationship between drug dosage and blood pressure of patients. For example, researchers might administer various dosages of a certain drug to patients and observe how their blood pressure responds. They might fit a simple linear regression model using dosage as the predictor variable and blood pressure as the response variable. The regression model would take the following form: blood pressure = β0 + β1(dosage) The coefficient β0 would represent the expected blood pressure when dosage is zero. The coefficient β1 would represent the average change in blood pressure when dosage is increased by one unit. If β1 is negative, it would mean that an increase in dosage is associated with a decrease in blood pressure. If β1 is close to zero, it would mean that an increase in dosage is associated with no change in blood pressure. If β1 is positive, it would mean that an increase in dosage is associated with an increase in blood
A decision tree is a supervised machine learning algorithm mainly used for Regression and Classification. It breaks down a data set into smaller and smaller subsets while at the same time an associated decision tree is incrementally developed. The final result is a tree with decision nodes and leaf nodes. A decision tree can handle both categorical and numerical data.
Agricultural scientists often use linear regression to measure the effect of fertilizer and water on crop yields. For example, scientists might use different amounts of fertilizer and water on different fields and see how it affects crop yield. They might fit a multiple linear regression model using fertilizer and water as the predictor variables and crop yield as the response variable. The regression model would take the following form: crop yield = β0 + β1(amount of fertilizer) + β2(amount of water) The coefficient β0 would represent the expected crop yield with no fertilizer or water. The coefficient β1 would represent the average change in crop yield when fertilizer is increased by one unit, assuming the amount of water remains unchanged. The coefficient β2 would represent the average change in crop yield when water is increased by one unit, assuming the amount of fertilizer remains unchanged. Depending on the values of β1 and β2, the scientists may change the amount of fertilize
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