In Linear Relationships Between Two Variables: Discuss the following with the class: question is 1.Does a negative correlation mean there is a weaker relationship between two variables? Why? why not? (CM)=CLASSMATE CM1 answers; A negative correlation means that the change in one variable brings opposite change in another correlated variable, that is, one variable increases as the other variable decreases and vice versa. A perfect negative correlation is represented by - 1. The more negative correlation closer to -1 stronger is the negative relation between the two correlated variables. CM2 ANSWERS: When we are analyzing the strength of whether there is a negative or positive, this measure determines the degree to which two variable's movements are associated. Therefore correlation coefficient is calculated as negative correlation, positive correlation and covariance. This statistical measurement of degrees is what changes the value of one variable and predict the changes the will affect the other. This increases or decreased the value in tandem. This is why we use the scatterplot to effectively measure the strength of the direction of the linear relationship between two variables. There is also the Pearson and covariance correlation which are also of significance to the relationship of the variables. CAN I get an IDEAL response or comment? CM3 answers on Negative Correlations: The value of a correlation, which is measured by the correlation coefficient (r), ranges from 1.0 to +1.0. A correlation coefficient of r = 1.0 is as strong as a correlation coefficient of r = +1.0. The sign of the correlation coefficient ( or +) indicates only the direction or slope of the correlation. Therefore, a negative correlation does not suggest a weaker relationship between two variables. A negative correlation simply means that the values of two factors change in different directions, It shows that as the values of one factor increase, the values of the second factor decrease. CAN I get an IDEAL response or comment? CM4 answers on Linear Relationships Between Two Variables: When describing the Linear relationship between two variables, it is noted that we are describing Correlation. Therefore Correlation could be said to a positive variable that rises or falls and where this association could result in the both variables rising or falling at all times. However on the other hand, when one variable keeps decreasing as the other rises, this could termed as a negative correlation. As displayed on scatter plot shows the strength of the association. The negative correlation shows that in the statistics that its represented by the value -1.00, and 0.00 shows no correlation, while +1.00 represents the positive correlation. The example where as the chicken gets older, they tend to lay fewer eggs tells us the negative may be weaker in this case. CM5 answers to CM4: Yes by describing the linear relation between two variables we are indeed describing correlation. I would like to also give an example of describing linear relationships between two variable below; For a given material, if the volume of the material is doubled, its weight will also double. This is a linear relationship. If the volume is increased 10 times, the weight will also increase by the same factor. If you take the perimeter of a square and its side, they are linearly related. If you take a square that has sides twice as large, the perimeter will also become twice larger. The cost of objects is usually linear. If a notebook costs $1, then ten notebooks will cost $10. The force of gravity between the earth and an object is linear in nature. If the mass of the object doubles, the force of gravity acting on it will also be double. CAN I get an IDEAL response or comment