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Answer :
By creating a scatter diagram and analyzing the relationship between square footage and rent, we can determine the type of relation that exists. Based on this analysis, we can then select an appropriate linear or quadratic model to describe the relationship accurately.
(a) By drawing a scatter diagram of the data with square footage as the independent variable, we can observe the relation between square footage and rent. The scatter plot will show the points representing each apartment's square footage and corresponding rent. Based on the scatter diagram, we can visually analyze the pattern or trend between the two variables and determine the type of relation that appears to exist.
(b) Once we have examined the scatter diagram, we can determine whether a linear or quadratic model is appropriate for describing the relation between square footage and rent. If the points on the scatter plot roughly form a straight line, a linear model would be suitable. On the other hand, if the points follow a curve, a quadratic model may be more appropriate. We can fit a linear or quadratic equation to the data to represent the relation between square footage and rent accurately.
(c) Using the chosen linear or quadratic model, we can predict the rent of an apartment in San Diego with a square footage of 850. By substituting the value of 850 into the equation, we can calculate the corresponding predicted rent. This prediction allows us to estimate the rent for an apartment of that particular square footage based on the established model and the relationship observed in the data.
In summary, by creating a scatter diagram and analyzing the relationship between square footage and rent, we can determine the type of relation that exists. Based on this analysis, we can then select an appropriate linear or quadratic model to describe the relationship accurately. With the chosen model, we can predict the rent of an apartment with a given square footage.
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