Question

Ashik claims that the graph on the right is the correct interpretation of the scatterplot, but his friend Shelby claims that the graph on the left is correct.

Who is correct and why?

A. Shelby is correct because the line of best fit has a negative slope and the trend shows a decrease in y values as the x values increase.
B. Shelby is correct because the line of best fit matches the points as closely as possible with a weak correlation.
C. Ashik is correct because the points are a strong correlation to this nonlinear association.
D. Ashik is correct because points with a weak correlation can never have linear association.

Answer 1

c. Ashik is correct because the points are a strong correlation to this nonlinear association.

Answer 2

Ashik is correct because the points are a strong correlation to this nonlinear association , which means Option(C) is correct.

What is meant by strong and weak correlation?

A strong, or high, correlation indicates that two or more variables have a strong link with each other, whereas a weak, or low, correlation indicates that the variables are rarely associated.

What is meant by linear and non linear association?

Linear association - The correlation is said to be linear when all of the dots on the scatter diagram tend to lie along a line that appears like a straight line.

Non linear association - Correlation that is not linear (curvilinear). If the ratio of change is not constant, the correlation is said to be non linear.

In the figure it is clearly visible, that the parabolic curve is more accurate to join all the scattered points as it helps to create a stronger correlation between the points and also it has very less variance from the actual point.

In the linear plot the points which are used in the line have a lot of variance from the actual points that is why it is not the right plot.

Hence the correct option is (C)

Learn more about correlations on:

https://brainly.com/question/13879362

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