A group of 35 students \'s pulse rates were recorded in beats per minute ( abbre

Question

A group of 35 students 's pulse rates were recorded in beats per minute ( abbreviated to 'bpm') before and after running in place for one minute.You are asked to consider the relationship between the pulse rates for students before and after running. We obtain a scatterplot,using 'Before' as the explanatory variable.

The lowest pulse rate of a student after running was 58 bpm. The pulse rate for this student before running was 62 bpm. Using the model:

y = 18.4707 + 1.00603 x

( This is the regression line )

calculate the residual for this student to the nearest whole number of bpm. Please explain your answer.

Explanation / Answer

The group of 35 students's pulse rates were recorded in beats per minute before and after running in place for one minute. The two were recorded as a scatterplot with the value before running being the independent variable and the value after running being the dependent variable.

The regression line is found to be represented by y = 18.4707 + 1.00603x.

A student had a pulse rate of 62 bpm before running and 58 bpm after running. According to the regression line, the value of y that corresponds to x = 62 is 80.84456 [~~] 81. But the actual beats per minute of the student is 58. The residual in this case is 58 - 81 = -23

The required residual is -23.

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