3) Reading Habits of 40 People Which statement is MOST strongly supported by the scatterplot? a) There is a positive correlation between the age of a person and the amount of time they spend reading 20 18 16 14 b) There is a negative correlation between the age of a person and the amount of time they spend reading 12 10 c) There is no correlation between the age of a person and the amount of time they spend reading o 10 20 30 40 so 60 70 80 90 100 Age in Years d) There is both a positive correlation and a negative correlation between the age of a person and the amount of time they spend reading Hours Spent Reading Per Week
Correlation Coefficient:
It is one of the statistical measures. It is used between any two variables in order to know the strength of the linear relationship of those two variables. The value of the correlation coefficient lies between -1 to 1(including zero). If the correlation coefficient positive then it is positively linearly correlated, if it is negative then it is negatively linearly correlated, and if it is zero then there is no linear correlation between the variables. When the correlation coefficient reaching the maximum or the minimum value (i.e., -1 or1) then the variables are very strongly related to each other.
r=, Cov(x,y) is the covariance of x and y;
σx is the standard deviation of x; σy is the standard deviation of y.
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