Q1. [15 marks] Trying to avoid over- or under-allocating labour hours in a particular moving job, the owner of a moving company would like to develop a better method of predicting labour hours (Duration; measured in hours) by using the size of the apartment (Size; measured in cubic feet) moved. A random sample of 36 moves in the past year was randomly selected in the borough of Manhattan in New York City. The data set "S4800 HW2 Q1 Data.xlsx" is available on BrightSpace.

a) Use StatGraphics to produce a scatter plot, without the least square regression line. Provide a description of the scatter plot. [1 + 2]

b) Use StatGraphics to produce the Regression output (the one that shows correlation coefficient, slope estimate, intercept estimate, etc.) [0.5]

c) Can we conclude that there is a significant correlation between the moving hour and size of all apartments? Make sure you use the three-step process and an appropriate decision point to answer this question. [4.5]

d) Write out the least square regression line. [2]

e) Provide an interpretation of the intercept estimate and the slope estimate. [2 + 2] Note the interpretation may not make sense, but do it regardless, for the sake of practice

f) How much labour time is needed when the moving unit is 956 cubic feet? [1]