The height of bedridden patients is often estimated from the length of the patient's ulna, the distance between the point on the elbow and the prominent bone on the wrist. Eight men over the age of 65 had both their height (in centimeters) and the length of their ulna (in centimeters) measured. The data are given in the table below. Ulna length (cm) 20 23 24 26 27 29 30 31 Height (cm) 160 163 166 168 171 178 182 186 Let x denote a patient's ulna length (in cm) and y denote the patient's height (in cm). Assume that the population distributions for both ulna length and height are approximately normal. The following summary measures were obtained from the data. X = 26.25, y = 171.75, SSxx = 99.5, SSyy= 609.5, SSxy= 238.5 We wish to find the least squares regression line for the data in this table using ulna length as an independent variable and height as a dependent variable. Use the information to estimate the slope of the least squares regression line. Enter your answer using three decimal places. i

3. Three logs have been measured as being 10.87, 5.42, 7.6 feet in length. What is their average length to the nearest one foot?

Interpreting numbers in advertising or product descriptions can be problematic. Data can be presented in ways that point to faulty conclusions. The table below presents the approximate distances that three vehicles can travel on a tank of gas. Credit: Hayati Kayhan/Fotolla Model Miles per Tank Suburban 651.0 Focus 446.4 Volt 380.0 1) Write down one conclusion or impression you can draw from the data in the table.

In the 2014-2015 academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies. The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the 2014- 2015 academic year for a sample of 10 public universities were as follows: $1589, $593, $1223, $869, $423, $1720, $708, $1425, $922 and $308. Run the descriptive statistic measures for this data set and interpret the results for the following concepts: