8) A psychologist is conducting a reaction time experiment. She wants to determine whether the average time (in seconds) a person takes to respond to a particular stimulus can be explained by the duration (in minutes) that he/she is tested. The following data were collected: Duration Average response tested time (seconds) Number of Mistakes time (minutes) 30 15 4848 40 10 50 5 45 30 13 11 6 8 13 5 a) State a regression equation that you have computed that shows a possible quantitative relationship between the variables. b) Explain the actual real-world meaning of the slope of the regression line as the marginal rate of change in terms of its numerical value and its units of measurement. C Provide an accurate scatter plot of the data. Include your regression line on the scatter plot. Include relevant labels. PP Comment on the strength of the correlation, r, that you found related to your regression line in Part (a). Justify your statement with references to the correlation coefficient, variable. the coefficient of determination, , and the domain of the independent e) What percent of the data variability in the dependent variable is explained by the regression equation? f) Based on the equation of the regression line, what is your prediction of the average response time if a subject is tested for an hour? How sure are you of your prediction? Why? Be specific.