6

From the following data of hours worked in a factory (x) and output units (y), determine the regression line of y on x, the linear correlation coefficient and determine the type of correlation.

Hours (x) 80 79 83 84 78 60 82 85 79 84 80 62
Production (y) 300 302 315 330 300 250 300 340 315 330 310 240

xi yi xi ·yi xi2 yi2
80 300 6,400 90,000 24,000
79 302 6,241 91,204 23,858
83 315 6,889 99,225 26,145
84 330 7,056 108,900 27,720
78 300 6,084 90,000 23,400
60 250 3,600 62,500 15,000
82 300 6,724 90,000 24,600
85 340 7,225 115,600 28,900
79 315 6,241 99,225 24,885
84 330 7,056 108,900 27,720
80 310 6,400 96,100 24,800
62 240 3,844 57,600 14,880
936 3,632 73,760 1,109,254 285,908

Correlation and Regression Calculations

Correlation and Regression Calculations

Correlation and Regression Calculations

Correlation and Regression Solution

Correlation and Regression Solution

There is a strong positive correlation.