Kyle believes that the equation of the line of best fit for the scatterplot below is y= -7/5x-1/5 Which statement best summarizes why Kyle is incorrect?

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Below are the choices:

A. Kyle’s equation has a negative y-intercept, but the scatterplot shows a point on the y-axis with a positive y-value.
B. Kyle’s equation has a negative y-intercept, but the scatterplot shows a positive correlation.
C. Kyle’s equation has a negative slope, but the scatterplot shows a point on the y-axis with a positive y-value.
D. Kyle’s  equation has a negative slope, but the scatterplot shows a positive correlation.

The answer is D. 

Statement fourth "Kyle’s equation has a negative slope, but the scatterplot shows a positive correlation" summarizes Kyle is incorrect.

What is correlation?

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

We have the equation of the line of best fit for the scatterplot is:

[tex]\rm y = -\frac{7}{5} x-\frac{1}{5}[/tex]

Here in the regression equation, the slope of the line is negative(-7/5) and the y-intercept is also negative which is -1/5.

In the statement "Kyle’s equation has a negative slope, but the scatterplot shows a positive correlation"

The scatterplot shows a positive correlation whenever the regression line has a negative slope it represents the negative correlation and if the line has a positive slope then the two variables have a positive correlation.

Thus, statement fourth "Kyle’s equation has a negative slope, but the scatterplot shows a positive correlation" summarizes Kyle is incorrect.

Learn more about the correlation here:

brainly.com/question/11705632

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