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Answer :
A scatter diagram, also known as a scatter plot, that displays points plotted loosely to form a straight line which increases from left to right exhibits a positive linear relationship between the two variables being compared.
Here's a breakdown of the characteristics:
Positive Correlation: Since the line increases from left to right, it indicates a positive correlation between the variables. This means that as one variable increases, the other variable tends to increase as well.
Linear Relationship: The points forming a loosely defined straight line suggest that there is a linear relationship. This implies that a straight line can be drawn to represent the relationship between the variables.
Trend Direction: The upward trend direction from left to right signifies that higher values of the independent variable correspond to higher values of the dependent variable.
Correlation Coefficient: Although not explicitly calculated here, a scatter plot with this pattern would typically have a positive correlation coefficient (denoted as [tex]r[/tex]), closer to +1 if the points form a tighter line.
In summary, a scatter plot with these features is interpreted as showing a positive linear relationship, which is a common pattern in data analysis used to identify trends, make predictions, and understand the relationship between two quantitative variables.
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