Many people get nervous before exams. A group of students were asked if their nerves affect their grades on exams. They were asked to rate their nerves on a scale of 0 - 10, 1 being not nervous at all and 10 being extremely nervous, and then they were asked to give their grade on an exam. The following is the data that was gathered.
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Now it's time to graph the data to see if there is a relationship between how nervous students get when taking exams and their test scores.
Plot the points on a coordinate plane. Don't forget to label the axes.
Check your work by clicking the Answer button.
Accuracy is the degree to which a measurement is close to the actual value. When reporting quantities, it's a good idea to ask yourself, "Does this answer make sense?" and then choose the level of accuracy that is appropriate for the situation.
Does this Level of Accuracy Make Sense?
In this example, 0.98 is the correlation coefficient. The correlation coefficient is used to measure how strong a relationship exists between two variables. The stronger the association of the two variables, the closer the correlation coefficient will be to either +1 or −1.
In this situation, it’s a good idea to report the correlation coefficient to the nearest hundredth. This makes sense in this case because the correlation coefficient is simply telling you how strong the correlation is based on how close the coefficient is to 1. So, rounding the correlation coefficient to 0.98 gives you a better description of how close this number is to 1 than if you were to round this to the nearest whole number.
