The Beck depression inventory and the Hamilton rating scale are two rating syste
ID: 3154999 • Letter: T
Question
The Beck depression inventory and the Hamilton rating scale are two rating systems that are commonly used to evaluate the level of depression in patients. Below are data from ten patients who were evaluated using both scales: Draw a scatter plot showing the relationship between the two rating scales (using the Beck score as the predictor). Be sure to label both axes and provide a title for your plot. Comment on what you see. The correlation between the two scales was calculated to be 0.94 based on the above data. Now suppose a 11^th patient was entered into the study, and his scores were as follows: Beck score =13, Hamilton score = 25. How do you think the correlation coefficient will change: will it increase, decrease, or stay about the same? What will happen to the line of best fit through the data?Explanation / Answer
a) Scatter plot
Here we see postive raltionship between two variables.
b) We have r = 0.94
The equation of best fit line is : y = 3.28 + 0.72 x
when 11th patient added correlation coefficient will definitely change. It becomes 0.79.
That is r decreases to 0.79
The equation of best fit line will also change.
it will be y = 7.05 + 0.59 x
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