These points are hard to graph, so I have a website that you can go to instead and all you have to do is put in the points and then once you're done type in correlation coefficient and then type in (A,B,C, D, E, etc.) and you'll be given the correlation coefficient. I put a picture with my attempt at graphing. I hope this helps, sorry I couldn't graph it for you
The site is: geogebra and it is a graphing calendar: https://www.geogebra.org/graphing
From the given scatter plot, it can be seen that there is a moderate negative correlation between the variables as variable X increases variable Y decreases.
i.e. the value of correlation coefficient must be negative.
Also, the value of weak correlation coefficient r, lies between the absolute value of 0.40 to 0.59.
From all the given options -0.52 is the value which is contained in interval 0.40 to 0.59 .
Therefore, the best estimate of the correlation coefficient for the variables in the scatter plot = -0.52
Logarithms are just another way to write exponents. The base on the logarithm that is the small font subscript IS the base (normal font/on the line) of an exponential equation. The "answer" in the logarithmic equation is the exponent (small font/superscript) .It is just a triple shuffle. When the logarithmic equation cant be worked on to solve it, CHANGE IT to exponential form. See image.
