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Let’s assume that temperature in the State of Michigan increases linearly between January and June. We’ll assign each day between January 1st and June 30th a number, such that January 1st=1, January 2nd=2…..July 1st=151. The following five data points (X,Y) were collected, where X represents the day and Y represents the temperature that day in degrees Fahrenheit: (1,5); (25,15); (46,22); (76,32); (140, 77). Which line better represents the data: Y=0.6X or Y=0.5X? In other words, which of these lines has the greater R-squared value?

 

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