The well known psychologist Dr Elbod has established what he calls his Generalized Anxiety Scale GAS The GAS which is a scale from 0 to 10 measures the general anxiety of an individual with higher GAS scores corresponding to more anxiety Dr Elbod s assessment of anxiety is based on a variety of measurements both physiological and psychological The bivariate data below give the GAS score denoted by x and the number of hours of sleep last night denoted by y for each of the fifteen adults in a study The least squares regression line for these data has equation y 8 43 0 27x This line along with a scatter plot of the sample data is shown below GAS score x 6 9 2 0 3 8 1 1 Sleep time y in hours 6 3 8 2 8 2 7 6 9 0 7 9 7 9 3 9 5 9 3 1 6 4 9 1 1 5 4 9 3 5 Send data to calculator Based on the study s data and the regression line complete the following 5 5 7 1 5 6 6 8 8 3 7 2 5 9 6 5 8 4 6 1 7 9 Sleep time in hours xx GAS score a For these data GAS scores that are greater than the mean of the GAS scores tend to be paired with sleep times that are Choose one the mean of the sleep times b According to the regression equation for an increase of one in GAS score there is a corresponding decrease of how many hours in sleep time S Expo ed B F