III. A researcher is interested in what type of bait attracts the most moths. The number of moths in a trap was recorded for traps that were in different locations, and used different baits. The data is in the file Trap.csv, with the following columns: Column 1. Moths: The number of moths in the trap Column 2. Location: The location of the trap on a tree Top, Middle, Lower, Ground. - Column 3. Bait: Chemical The bait used - Scent, Sugar, (a) Plot the interaction plot. Does there appear to be an interaction effect? Explain your answer. (b) Find the group means for Location. (c) Find the group means for Bait. (d) Find the group means for all treatment levels. (e) Do you believe that the number of moths trapped is different for all Locations? Explain.

Find the following for the data set {2, 4, 6, 8, 10} 13. ΣΟΧ

You and your little sister decide to play a game of "ABC cup hunt". You take 26 cups and label each with a letter from A to Z. You place all of the cups upside down on a table but under one of the cups you place a chocolate frog. You know where the chocolate is but your sister does not. You ask your sister to choose the cup under which she thinks there is a frog. stal median hourly earnings by sex as reported by the Australian Bureau of statistics, cteristics of Employment, Australia, August 2021. 1 (a) What are the odds against your sister selecting the cup with the chocolate frog hidden underneath it? Your sister chooses a cup but you do not reveal what is underneath. Instead you overturn 24 other cups under which you know there is no frog. You then ask your sister if she wants to look under the cup she originally chose or if instead she would like to choose the final cup that remains upside down. She chooses to alter her choice and thus chooses to look under the other cup that…

2. A real estate expert wanted to find the relationship between the sale price of houses and various characteristics of the houses. He collected data on five variables, recorded in the table, for 12 houses that were sold recently. The five variables are: Sale price of a house in thousands of dollars. Size of the lot in acres. Price: Lot Size: Living Area: Living area in square feet. Age: Type of house: town house (T) or Villa (V) Age of a house in years. Price Lot Size Living Area Age Туре of house 255 1.4 2500 8 T 178 0.9 2250 12 T T. T. T. 263 1.8 2900 5 0.7 2.6 127 1800 24 305 3200 10 164 1.2 2400 18 245 2.1 2700 T V 146 1.1 2050 28 287 2.8 2850 13 V 189 1.6 2600 9 211 1.7 2300 8 V 123 0.5 1700 11 V a) Find the regression equation for the town house b) Find the regression equation for the Villa c) What is the price of a town house with a lot size of 1.3, living area of 1800, and is 7 years old? EBBBBE A> >}>l> >{