A student, Samuel, speculates that exam scores may be linearly related to hours spent studying. Samuel collects five data points, (X,Y), where X represents hours studied and Y represents exam score — Ricardo: (2,45); Janette: (4,80); Calvin: (7,95), Edith: (3,55); Joachim: (1,30). The mean score is 61. Samuel uses the equation Y=20XY=20X to represent the data. Calculate the R-squared value of this line. Assuming that an R-squared value less than 0.4 is “poor”, a value between 0.4 and 0.8 is “fair”, and a value above 0.8 is “good”, how well does this line Y=20X represent the data?
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