Answer :
Final answer:
The correct statement describing the relationship between the price and area of the houses for sale is that a larger area indicates a higher price, which is a positive correlation, meaning as one variable increases, so does the other.
Explanation:
The relationship between the price and the area of houses for sale in this township is described as follows: The larger the house's area, the higher the price, suggesting a positive correlation. This means that as the area of the house increases, so does the price, similar to how a scatterplot with a positive correlation between weight and height would appear. A negative correlation would show an inverse relationship, e.g., between tiredness and hours of sleep, where more sleep results in less tiredness. In the case at hand, if the line of best fit on a scatterplot ascends as it moves from left to right, this indicates a positive relationship between the two variables being analyzed. On the other hand, a negative correlation would be suggested by a descending line as the independent variable increases. In scenarios where the data does not demonstrate a clear pattern or trend, this indicates no correlation between the variables. If the data points reveal a pattern that cannot be adequately captured by a straight line, this would suggest a non-linear relationship. Therefore, option A is the most accurate description of the relationship between house size and price.
