We want to predict the selling price of a house in Newburg Park, Florida, based on the distance the house lies from the beach. Suppose that we're given the data In the table below. These data detail the distance from the beach (x, In miles) and the selling price (), in thousands of dollars) for each of a sample of fifteen homes sold in Newburg Park in the past year. The data are plotted in the scatter plot in Figure 1. Also given is the product of the distance from the beach and the house price for each of the fifteen houses. (These products, written in the column labelled "xy", may aid in calculations.) Distance Selling price, from the beach, x (in thousands xy (in miles) of dollars) 11.8 204.8 2416.64 7.9 236.7 1869.93 5.8 300.6 1743.48 3.7 305.0 1128.5 5.6 264.6 1481.76 14.2 189.3 2688.06 Selling price (In thousands of dollars) 14.1 258.0 3637.8 100. 7.2 222.4 1601.28 6.7 246.7 1652.89 4.3 267.6 1150.68 11.6 232.5 2697 17.6 221.4 3896.64 Distance from the beach (in miles) 10.9 281.0 3062.9 Figure 1 8.2 295.6 2423.92 12.8 188.3 2410.24 Send data to calculator v Send data to Excel What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places. (If necessary, consult a list of formulas.) X 2The well-known psychologist Dir. 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 Elbed's assessment of anxiety is based on a variety of measurements, both physiological and psychologically We're interested in making predictions about individuals' sleep behavior based on their GAS scores. The bivariate data below give the GAS score (demoted by x] and the number of hours of sleep last night (denoted by )) for each of the fifteen adults in a study. The least-squares regression line for these data has equation - 5.52-0.29x. This line, along with a scatter plot of the sample data, is shown below. GAS score, X Sleep time, Y (in hours) 1.6 8.6 1.8 8.4 40 6.2 6.9 6.6 3.6 7.5 8.0 5.2 3.8 8.5 (in hours) Sleep time 9.1 6.2 6.0 7.9 7.9 7.2 9.2 5.5 6.5 5.8 1.0 73 GAS score 2.9 7.3 3.9 7.2 Send data to calculator w ) Send data to Excel Based on the study's data and the regression line, answer the following. (#) From the regression equation, what is the predicted sleep time (in hours) when the GAS score is 7.27 Round your answer to one or more decimal places. (6) From the regression equation, what is the predicted sleep time (in hours) when the GAS score is 7.97 Round your answer to one or more decimal places