A keyboard manufacturer is assessing the durability of keyboard designs for it's new line of gaming keyboards, the RGB ProKing Deluxe (Over 16 trillion colours and 32 different lighting effects!). They are testing out 4 different keyswitch options, rubber dome (RD), electro-capacitive (EC), foam and foil (FAF) and linear mechanical red switches (LMS) along with 4 different backplate options, no backplate (NBP), plastic backplate (PBP), aluminum backplate (ABP) and steel backplate (SBP). Three prototype keyboards of each pair of options were built and tested using typing robots which pressed the keys until failure. The number of keys pressed until failure on each unit were recorded (in millions) and are given below in the following csv file. The company is assuming there is no interaction between backplate and keyswitch type. If you can't use the csv download button for whatever reason, the data is given at the bottom of this page. Use R to anwser the following questions and fill in the two way ANOVA table. Download csv Source DF SS MS F Switch Type Backplate Error Total What is the grand mean of the data? [1 pt(s)] Submit Answer Tries 0/3 Suppose you want to find the cell means for the backplates. Assuming you've read the keyboard data into the variable keyboard, which of the following R commands will calculate the backplate factor level means? mean Oceyboard, Backplate']) tapply(keyboardsKeys Pressed, list keyboard$Switch, keyboardBackplate), nean) mean (keyboard tapply keyboardsKeysprossed, keyboardBackplate, nean [1 pt(s)] Calculate the cell means for the switch types Rubber Dome 18,56 Electro-Capacitive 20.81 23.43 Linear Mechanical Switch 19.93 Submit Answer Incorrect. Tries 2/3 Previous Tries Foam and Foil [1 pt(s)) Calculate the Sum of Squares for the switch type (1 pt(s)] Submit Answer Tries 0/3 Calculate the Sum of Squares for the backplate type [1 pt(s)] Submit Answer Tries 0/3 Calculate SSE [1 pt(s)] Submit Answer Tries 0/3 Calculate the Mean Squared for the switch type [1 pt(s)] Submit Answer Tries 0/3 Calculate the Mean Squared for the backplate type [1 pt(s)] Submit Answer Tries 0/3 Calculate MSE [1 pt(s)] Tries 0/3 Submit Answer Calculate the Sum of Squares for the switch type [1 pt(s)] Submit Answer Tries 0/3 Calculate the Sum of Squares for the backplate type [1 pt(s)] Submit Answer Tries 0/3 Calculate SSE [1 pt(s)] Submit Answer Tries 0/3 Calculate the Mean Squared for the switch type (1 pt(s)] Submit Answer Tries 0/3 Calculate the Mean Squared for the backplate type [1 pt(s)] Submit Answer Tries 0/3 Calculate MSE [1 pt(s)] Submit Answer Tries 0/3 Calculate the F statistic for switch type [1 pt(s)] Tries 0/3 Submit