1.) (Use R) Use the mpg data from ggplot2 package and create R codes necessary to generate the following graphs. library(ggplot2) data (mpg) 40- 20- 40- 30- 20- displ (a) drv 40- 20- 40- displ € (b) drv 4 30- dry 20- displ (c) 2 displ (d) --

Graph

The following scatterplot shows the relationship between a house's area (in square feet) and its acreage, or the area of its lot. Explain the trend in context of the graph. Scatterplot of Acreage vs Area 3 500 1000 1500 2000 2500 3000 3500 Area (in square feet) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIU S Paragraph Arial 10pt Ix Q ... x? X2 Ω Θ ABC - 田田 EX: Ť {i} P O WORDS POWERED BY TINY > > !!! +] 2. Acreage

A regulation NFL playing field of length x and width y has a perimeter of 346ź or "3" yards. 1040 (a) Draw a rectangle that gives a visual representation of the problem. Use the specified variables to label the sides of the rectangle. (b) Show that the width of the rectangle is y = – x and its area is A = x( - x). 520 (520 (c) Use a graphing utility to graph the area equation. Be sure to adjust your window settings. (d) From the graph in part (c), estimate the dimensions of the rectangle that yield a maximum area. (e) Use your school's library, the Internet, or some other reference source to find the actual dimensions and area of a regulation NFL playing field and compare your findings with the results of part (d).