Question

a sneaker manufacturer has launched a new sneaker. the sales projections for the months of the first year, with january being 1, and the predicted sales in thousands of dollars are on the graph. the scatter plot shows the line of fit for the data and the residuals for the data.
sales projections
sales (in thousands of dollars)
month of the year (jan = 1)
determine the strength and direction of the correlation between the variables in the context of the scenario.
there is a weak, positive correlation between the month of the year and the predicted sales in thousands of dollars.

Explanation:

Step1: Analyze the trend of the scatter plot

As the month of the year (x - axis) increases, the predicted sales (y - axis) decrease. So, the direction of the correlation is negative.

Step2: Analyze the spread of the residuals

The residuals are spread out. A strong correlation would have residuals clustered closely around the line of fit. Since the residuals are spread out, the strength of the correlation is weak.

Answer:

The correlation is weak and negative.