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A study was conducted to compare the effectiveness of four pain relievers. The table below shows the number of subjects tested, the number of these

A study was conducted to compare the effectiveness of four pain relievers. The table below shows the number of subjects tested, the number of these who experienced relief of pain and the dose (mg) of pain reliever. Questions: 1. Does the pain reliever become more effective with increase of dosage? 2. How do these four pain relievers compare to each other in terms of effectiveness? Note : Find the answers by using R and the hint is regression. MUST answer the 2 questions above. Do not simply copy and paste the input and output from R, please explain how you get the answers. Please include at least 6 other input or tests (or anything that is connected and can be used for the data above) in R and explain. For example, you can include the input in R to find the fitted model (either linear/logistic model) ; 1 2 Y = 0 + (For linear model) 1 x + 2 x 1 2 logit ( P )= 0 + (For logistic model) 1 x + 2 x

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