The correlation coefficient would be close to 1.
This is because, generally, as the number of hours a student spends studying increases, their exam score tends to increase as well, indicating a positive correlation between the two variables.
For each pair of quantities, decide if the correlation coefficient would be close to 1, close to -1, or not be close to 1 or -1.
a) The number of hours a student spends studying and the score on that student's exam.
The correlation coefficient would [blank]
7 answers
(b) The number of hours a student spends studying and the number of letters in that student's name.
The correlation coefficient would [blank]
The correlation coefficient would [blank]
The correlation coefficient would not be close to 1 or -1.
There is no inherent relationship between the number of hours a student spends studying and the number of letters in their name, so the correlation would likely be close to 0, indicating little to no correlation.
(c) The number of hours an overweight person spends exercising and that person's weight.
The correlation coefficient would [blank]
The correlation coefficient would [blank]
The correlation coefficient would be close to -1.
This is because, generally, as the number of hours an overweight person spends exercising increases, their weight tends to decrease, indicating a negative correlation between the two variables.
(d) The height of a child and the number of hours of sleep that child gets.
The correlation coefficient would[blank]
The correlation coefficient would[blank]
The correlation coefficient would not be close to 1 or -1.
While there may be some minor relationships related to growth and sleep patterns, there is no strong or consistent correlation expected between a child's height and the number of hours of sleep they get. Therefore, the correlation would likely be close to 0, indicating little to no correlation.