Question

DOES ANYONE KNOW HOW TO DO THIS????????

Answer 1

1. From among the scatter plot, the dataset in which the coefficient r closest to 1 is Figure 4.

2. The figure that show least evidence of a linear relationship is figure 1

3. From among the scatter plot, the data set that the correlation coefficient r appear to be equal to -1 is Figure 3.

What is correlation coefficient?

The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges between -1 and 1.

A correlation coefficient of 1 indicates a perfect positive linear relationship. It means that as one variable increases, the other variable also increases in a perfectly consistent manner. The data points would lie exactly on a straight line with a positive slope.

From among the scatter plot, the dataset in which the coefficient r closest to 1 is Figure 4.

To know which of the data set show least evidence of linear relationship, observe the scatter plot and identify the one that is not in a consistent manner.

The figure that show least evidence of a linear relationship is figure 1

A correlation coefficient of -1 indicates a perfect negative linear relationship. It means that as one variable increases, the other variable decreases in a perfectly consistent manner. The data points would lie exactly on a straight line with a negative slope.

From among the scatter plot, the data set that the correlation coefficient r appear to be equal to -1 is Figure 3.

Answer 2

1. figure 4 ; 2. figure 1; 3. figure 3 .

Explanation:

1. The correlation coefficient is closest to 1 for the data-set relating to figure 4.

2. The least evidence of a linear relationship is shown by the data-set relating to figure 1.

3.The correlation coefficient r appear to be equal to -1 for the data-set relating to figure 3.

We know that as more the modulus of the correlation coefficient (r) approaches 1, more the figure related to the data-set starts to resemble a straight-line.

The line of linear regression takes a positive slope for a positive value of r and takes a negative slope for a negative value of r.

Moreover, more the modulus of r approaches 0, more there is absence of linearity in the scatter plot.