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Answer :
Final answer:
The provided data indeed displays a linear relationship. This observation is supported by the evident alignment of data points along a straight line when plotted on a scatter plot. Thus, it can be concluded that the data exhibits a linear correlation between the variables. Therefore, option a) Yes, the data appears to be linearly related, is the accurate response to the question posed.
Explanation:
After plotting the provided data points on a scatter plot, it is evident that they form a straight line pattern, indicating a linear relationship between the variables. To confirm this observation, we can calculate the correlation coefficient (r) between the variables. If the value of r is close to 1 or -1, it indicates a strong linear relationship. Additionally, we can perform a linear regression analysis to further assess the linearity of the data. Therefore, option a) Yes, the data appears to be linearly related, is the correct choice.
The given statement "Does the data appear to be linearly related?" is true because the scatter plot of the provided data points shows a clear linear pattern. This is supported by the fact that the data points align closely along a straight line, indicating a linear relationship between the variables. Therefore, option a) Yes, the data appears to be linearly related, is the correct choice.
In conclusion, the data provided exhibits a strong linear relationship, as indicated by the scatter plot and potentially confirmed by further statistical analyses such as calculating the correlation coefficient and performing linear regression. Therefore, option a) Yes, the data appears to be linearly related, is the correct choice.
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