Final answer:
A correlation coefficient of -0.91 indicates a strong negative linear relationship between hours and candle height. There is sufficient evidence to conclude a significant linear relationship exists, with the height decreasing as hours increase.
Step-by-step explanation:
The student asked what could be concluded based on the correlation coefficient of -0.91 between the number of hours, x, and the height of the candle, y. A correlation coefficient of -0.91 indicates a strong negative linear relationship between the two variables. This means that as the number of hours increases, the height of the candle tends to decrease. The value of -0.91 is significantly different from zero, which implies that there is sufficient evidence to conclude there is a significant linear relationship between x and y.
In real-world terms, as the candle burns over time, one would expect it to get shorter, which is consistent with the negative correlation observed. Since the correlation is close to -1, it suggests that the relationship is strongly linear, and therefore the number of hours can be a good predictor for the height of the candle, assuming other conditions such as the burn rate of the candle remain constant.