Moving Hours Feel 24.00 545 13.50 400 26.25 562 25.00 540 9.00 220 Q1. [23 marks] Trying to avoid over- or under-allocating labour hours in a particular moving 19.00 330 job, the owner of a moving company would like to develop a better method of predicting labour 22,00 5 79 hours (Duration; measured in hours) by using the size of the apartment (Sire; measured in cubic 11.25 340 feet) moved. A random sample of 36 moves in the past year was randomly selected in the 50.00 880 borough of Manhattan in New York City. The data set "S1 124 HW2 Q1 Data. xlax" second page 12.00 295 36.75 860 a) Use R Studio to produce a scatter plot, without the least square regression line. Customize the 41.00 831 plotting symbol and colour. Add proper labels to both x-axis and y-axis. Add a title. Attach 19.50 344 the R codes and the scatter plot. 18.00 360 b) Provide a description of the scatter plot in a). 28.00 750 c) Use R Studio to compute the correlation coefficient. Attach the R codes and output. 27.00 650 d) Can we conclude that there is a significant correlation between the moving hour and size of all 21.00 400 apartments? Make sure you use the three-step process and an appropriate decision point to 16.50 275 answer this question I 26.50 557 c) Use R Studio to conduct regression analysis, attach the output. 45.00 1034 () Use R Studio to produce a scatter plot, with the least square regression line, Attach the R code 29.00 793 and scatter plot. 21.00 521 g) Write out the least square regression line. 22 00 564 h) Provide an interpretation of the intercept estimate and the slope estimate. [2+2] Note: the 16.50 312 interpretation may not make sense, but do it regardless, for the sake of practice. 36.25 747 i) Check all three assumptions, In other words, make sure you provide the correct graph and 32.00 600 comment about the validity of the assumptions. 34.00 796 D) How much labour time is needed when the moving unit is 956 cubic feet? Provide your 25.00 577 answer with 95% confidence level. 31.00 450 24.00 695 40.00 1054 27.00 486 18.00 442 62.50 1245 51.00. 79,50 1420