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Answer :
Standard deviation and correlation coefficient calculations are used to understand the relationship between time in morning daylight, heart rate, and mood. The strength of the correlation is determined by the closeness of the correlation coefficient to -1 or 1. The percent of variance in common is the square of the correlation coefficient.
To calculate the standard deviation for each of the three variables (time in morning daylight, heart rate, and mood), one would first find the mean for each variable, subtract the mean from each data point, square the result, find the average of those squared differences, and then take the square root of that average. Unfortunately, we cannot provide a photo of handwritten work, but the process involves using a formula for standard deviation. Similarly, to find the correlation between time in morning daylight and heart rate, and then between time in morning daylight and mood, we would use the Pearson correlation coefficient formula. The coefficient ranges from -1 to 1, indicating the strength and direction of the relationship. The closer the value is to 1 or -1, the stronger the correlation. If it is close to 0, there is a weak correlation. The percent of variance in common is found by squaring the correlation coefficient.
The additional references provided in the question discuss circadian rhythms and their impact on human behaviour, highlighting the relevance of understanding the relationship between time in morning daylight and various physiological and psychological variables. However, these references do not impact the computational process of calculating standard deviation or correlation.
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