7.A wood product firm wants to determine whether there is a linear relation between working time of the employees and the average weight of the production. Data collected for 20 week period is as...

Extracted text: 7.A wood product firm wants to determine whether there is a linear relation between working time of the employees and the average weight of the production. Data collected for 20 week period is as follows. Working time (hour) Average weight (tonne) Average weight (tonne) Working time (hour) 100 20 122 10 85 22 85 30 108 19 50 28 116 15 114 14 92 20 104 21 63 26 111 20 79 25 110 16 101 21 100 19 88 24 82 23 71 29 85 25 a) Is there a significant correlation between working time and average weight? b) Develop the simple linear regression model with average value as dependent and time as independent variable. c) How good is the model in explaining the linear relation between average weight and working time? d) Can we conclude that the slope of the model is not zero? Use a = 0.05