what is the value of the slope of the least-square

The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of sixteen Cadets, each bought "new" two years ago and each sold "used" within the past month. For each Cadet in the sample, we have listed both the mileage, x (in thousands of miles), that the Cadet had on its odometer at the time it was sold used, and the price, y (in thousands of dollars), at which the Cadet was sold used. These data are shown graphically in the scatter plot in Figure 1. Also given are the products of the mileages and used selling prices for each of the sixteen Cadets. (These products, written in the column labelled "xy," may aid in calculations.) Mileage, X Used selling price, (in thousands) (in thousands of XY dollars) 27.2 30.0 816 37.6 22.3 838.48 39.3 21.2 833.16 27.7 25.7 711.8 23.4 27.9 $52.86 34.3 25.1 860.93 15.1 34.0 513.4 24.3 30.4 738.72 25.6 26.4 675.84 21.1 30.5 643.55 27.5 30.3 833.25 20.7 30.5 631.35 23.3 32.7 761.91 29.6 28.0 828.8 Figure 1 23.0 31.2 717.6 24.0 28.4 681.6 Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. What is the value of the slope of the least-squares regression line for these data? Round your answer to at least two decimal places. An existing inventory for a test measuring self-esteem indicates that the scores have a standard deviation of 8. A psychologist gave the self-esteem test to a random sample of 80 individuals, and their mean score was 65. Construct a 90% confidence interval for the true mean of all test scores. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. What is the lower limit of the 90% confidence interval? What is the upper limit of the 90% confidence interval