Question 3 For which regression line, shown below, is the coefficient of determi

Question

Question 3 For which regression line, shown below, is the coefficient of determination (explaining power) the greatest? In which case is the response variable most sensitive to changes in the explanatory variable? O A In which case would you say that there is no correlation between the two variables? Which regresion line can potentially show the relationship between the dosage of an effective blood pressure- lowering medication (x-axis) and a patient's systolic blood pressure (y-axis)? 0 2 D Explanatory variable

Explanation / Answer

The coefficient of determination is the greatest for plot C, because here the points are very close to the line so the squared sum of errors is the smallest for this case.

The response variable is most sensitive to changes in explanatory variable for plot B, because here the slope of the regression line is the greatest.

There is no correlation in plot D, because here the slope of the regression line is equal to zero.

Plot A can potentially explain the dosage vs systolic blood pressure relationship because as the dosage increases, the blood pressure decreases.

Hope this helps !

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