The number of minutes it took 12 students in a statistics clas...

Question

The number of minutes it took 12 students in a statistics class to complete the final exam are listed. Use a scatter plot to display this data set and the data set in Exercise 1. The data sets are in the same order. Describe any patterns.
61 85 67 48 54 61 59 80 67 55 88 84

61 85 67 48 54 61 59 80 67 55 88 84

Accepted Answer

Hi, everyone. Let's take a look at this practice problem. This problem says the data below shows the number of study hours and the quiz scores of 10 students. And for the study hours, we're given the values of 12, 1.5, 3, 2.5, 4, 3.55, 4.5, and 6. And for quiz scores, we're given 50, 58, 54, 66, 63, 72, 69, 78, 75, and 82. Based on the data, which of the following best describes the relationship between hours of study and quiz score? And we give forth possible choices as our answers. For choice A, there is a positive correlation with scores tend to increase as study hours increase. For choice B, there is a negative correlation. Quiz scores decrease as study hours increase. For choice C, there is no correlation between study time and quiz scores, and for choice D, quiz scores are highest when students study less. So, one of the easiest ways to look at the relationship between hours of study and quiz score is to create a scatter plot of our data. And doing so, we'll have the quiz score on the Y axis and the hours of study on the X-axis, and we'll just plot our data that we're given to this problem. And looking at the plot, the points tend to rise from left to right, forming an upward trend. This means that as students studied for more hours, they generally achieve higher quiz scores. And this trend, this trend indicates a positive correlation between the two variables. So while the data is not perfectly aligned, there is some variation that exists in our data. The overall pattern supports the idea that studying more tends to improve performance. So, based on our graph here, if we look at our answer choices, we see that the correct answer choice actually corresponds to answer choice A. Which says that there is a positive correlation, quit scores tend to increase as study hours increase. So that's gonna be our answer for this problem. So I hope that this explanation has been useful, and I'll see you in the next video.

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