Final answer:
The new line of best fit for the data points provided is y = -355.19 + 7.39x, indicating a predicted final exam score of 184.28 for a student who scored 73 on the third exam. This prediction is different from the original line of best fit, y = -173.51 + 4.83x.
Step-by-step explanation:
To find the equation of the line of best fit for the given set of points, you would typically enter the data into a statistical calculator or software that can perform linear regression. It seems from the provided information that a new equation for a line of best fit has already been calculated: îy = -355.19 + 7.39x. Given this information, for a student who scores 73 points on the third exam, you would expect them to earn approximately 184.28 points on the final exam based on this line of best fit. If we compare this to the original line of best fit represented by the equation îy = -173.51 + 4.83x, the new line predicts a slightly higher score for the same exam score, indicating that the new line suggests a stronger positive relationship between the third exam scores and the final exam scores. The provided information also mentions correlation coefficients, r² = .43969 and r = .663, which indicate the strength and direction of the linear relationship between the two sets of data.