A psychology graduate student is studying the effect of alcohol intoxication on a person's ability to perform manual tasks.In a very simple experiment,a subject's blood alcohol level is brought to a certain level and then the subject is presented with 10 rope knots.The subject then attempts to untie as many knots as he or she can in 30 seconds.The results of the experiments are summarized in the table below. Blood No. of Blood No. of Alcohol Knots Alcohol Knots Level Untied Level Untied 0.03 4 0.05 3 0.06 1 0.02 5 0.06 2 0.01 10 0.01 10 0.07 1 0.04 2 0.09 1 0.04 3 0.09 1 0.08 1 0.03 3 0.06 2 0.07 2 0.04 4 0.05 3 \begin{array}{|l|l|l|l|}\hline ext { Blood } & ext { No. of } & ext { Blood } & ext { No. of } \ ext { Alcohol } & ext { Knots } & ext { Alcohol } & ext { Knots } \ ext { Level } & ext { Untied } & ext { Level } & ext { Untied } \\hline 0.03 & 4 & 0.05 & 3 \\hline 0.06 & 1 & 0.02 & 5 \\hline 0.06 & 2 & 0.01 & 10 \\hline 0.01 & 10 & 0.07 & 1 \\hline 0.04 & 2 & 0.09 & 1 \\hline 0.04 & 3 & 0.09 & 1 \\hline 0.08 & 1 & 0.03 & 3 \\hline 0.06 & 2 & 0.07 & 2 \\hline 0.04 & 4 & 0.05 & 3 \\hline\end{array} Blood Alcohol Level 0.03 0.06 0.06 0.01 0.04 0.04 0.08 0.06 0.04 No. of Knots Untied 4 1 2 10 2 3 1 2 4 Blood Alcohol Level 0.05 0.02 0.01 0.07 0.09 0.09 0.03 0.07 0.05 No. of Knots Untied 3 5 10 1 1 1 3 2 3 Re-express the number of knots untied by taking the inverse of each count,then plot the re-expressed data as a scatterplot.

Question

A psychology graduate student is studying the effect of alcohol intoxication on a person's ability to perform manual tasks.In a very simple experiment,a subject's blood alcohol level is brought to a certain level and then the subject is presented with 10 rope knots.The subject then attempts to untie as many knots as he or she can in 30 seconds.The results of the experiments are summarized in the table below.    Blood   No. of   Blood   No. of   Alcohol   Knots   Alcohol   Knots   Level   Untied   Level   Untied  0.03 4 0.05 3 0.06 1 0.02 5 0.06 2 0.01 10 0.01 10 0.07 1 0.04 2 0.09 1 0.04 3 0.09 1 0.08 1 0.03 3 0.06 2 0.07 2 0.04 4 0.05 3 \begin{array}{|l|l|l|l|}\hline	ext { Blood }  &  	ext { No. of }  &  	ext { Blood }  &  	ext { No. of } \	ext { Alcohol }  &  	ext { Knots }  &  	ext { Alcohol }  &  	ext { Knots } \	ext { Level }  &  	ext { Untied }  &  	ext { Level }  &  	ext { Untied } \\hline 0.03  &  4  &  0.05  &  3 \\hline 0.06  &  1  &  0.02  &  5 \\hline 0.06  &  2  &  0.01  &  10 \\hline 0.01  &  10  &  0.07  &  1 \\hline 0.04  &  2  &  0.09  &  1 \\hline 0.04  &  3  &  0.09  &  1 \\hline 0.08  &  1  &  0.03  &  3 \\hline 0.06  &  2  &  0.07  &  2 \\hline 0.04  &  4  &  0.05  &  3 \\hline\end{array}  Blood   Alcohol   Level  0.03 0.06 0.06 0.01 0.04 0.04 0.08 0.06 0.04 ​  No. of   Knots   Untied  4 1 2 10 2 3 1 2 4 ​  Blood   Alcohol   Level  0.05 0.02 0.01 0.07 0.09 0.09 0.03 0.07 0.05 ​  No. of   Knots   Untied  3 5 10 1 1 1 3 2 3 ​ ​   Re-express the number of knots untied by taking the inverse of each count,then plot the re-expressed data as a scatterplot.

Laila Thompson · Accepted Answer

Final Answer :   blood alcohol no. of knots  E 1  # knots  E  blood alcohol no. of knots  E 1  # knots  E level  untied  level  untied  0.03 4 0.25 0.05 3 0.3333 0.06 1 1 0.02 5 0.2 0.06 2 0.5 0.01 10 0.1 0.01 10 0.1 0.07 1 1 0.04 2 0.5 0.09 1 1 0.04 3 0.3333 0.09 1 1 0.08 1 1 0.03 3 0.3333 0.06 2 0.5 0.07 2 0.5 0.04 4 0.25 0.05 3 0.3333 \begin{array}{|l|l|l|l|l|l|}\hline 	ext { blood alcohol} & 	ext {no. of knots } &  E\frac{1}{	ext { \# knots }} E & 	ext { blood alcohol} & 	ext {no. of knots } & E \frac{1}{	ext { \# knots }} E\	ext {level } & 	ext {untied } & & 	ext {level } & 	ext {untied }\\hline 0.03  &  4  &  0.25  &  0.05  &  3  &  0.3333 \\hline 0.06  &  1  &  1  &  0.02  &  5  &  0.2 \\hline 0.06  &  2  &  0.5  &  0.01  &  10  &  0.1 \\hline 0.01  &  10  &  0.1  &  0.07  &  1  &  1 \\hline 0.04  &  2  &  0.5  &  0.09  &  1  &  1 \\hline 0.04  &  3  &  0.3333  &  0.09  &  1  &  1 \\hline 0.08  &  1  &  1  &  0.03  &  3  &  0.3333 \\hline 0.06  &  2  &  0.5  &  0.07  &  2  &  0.5 \\hline 0.04  &  4  &  0.25  &  0.05  &  3  &  0.3333 \\hline\end{array}  blood alcohol level  0.03 0.06 0.06 0.01 0.04 0.04 0.08 0.06 0.04 ​ no. of knots  untied  4 1 2 10 2 3 1 2 4 ​ E  # knots  1 ​ E 0.25 1 0.5 0.1 0.5 0.3333 1 0.5 0.25 ​  blood alcohol level  0.05 0.02 0.01 0.07 0.09 0.09 0.03 0.07 0.05 ​ no. of knots  untied  3 5 10 1 1 1 3 2 3 ​ E  # knots  1 ​ E 0.3333 0.2 0.1 1 1 1 0.3333 0.5 0.3333 ​ ​

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