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Answer :
Final answer:
The correct option is 2), The slope is -0.3144, meaning for each year increase since 1896, the time to complete the 1500m race decreases on average by 0.3144 seconds, reflecting performance improvement over time.
Explanation:
The slope in the regression equation Time = 842.2 - 0.3144(Year) is -0.3144. This slope indicates that for every 1 year increase since 1896, on average, the time to complete the 1500 meter race decreases by 0.3144 seconds. A negative slope in this context reflects improvement in performance over time, as athletes complete the race faster in fewer seconds.
The correlation coefficient (r) of -0.828 further suggests a strong negative linear relationship between the year and the completion time of the 1500 meter race. This means that as years increase, the race completion time tends to decrease, with the magnitude of this effect reflected in the slope value.
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