Question

click the arrows to choose an answer from each menu. the line ( y = \frac{2}{3}x + 1 ) choose... a good line of fit for the data. a good line of fit should choose... and should choose...

Explanation:

To determine if \( y=\frac{4}{5}x + 1\) is a good line of fit, we analyze the scatter plot:

Step 1: Understand Line of Fit Criteria

A good line of fit should follow the trend of the data (positive/negative correlation) and have points roughly balanced above and below it.

Step 2: Analyze the Data Trend

The scatter plot shows a positive linear trend (as \( x \) (spices) increases, \( y \) (total cost) increases).

Step 3: Evaluate \( y=\frac{4}{5}x + 1 \)

• The slope \( \frac{4}{5} \) (0.8) matches the positive trend.
• Visually, the line would pass through or near the "middle" of the data points, with points balanced above and below (consistent with a good fit).

Step 4: Fill the Blanks (Interpretation)

1. The line \( y=\frac{4}{5}x + 1 \) is a good line of fit.
2. A good line of fit should follow the trend of the data (positive, in this case).
3. It should have about the same number of points above and below it (balanced residual distribution).

Answer:

(for the first dropdown: "is"; second: "follow the trend of the data"; third: "have about the same number of points above and below it")
(Note: Adjust based on exact dropdown options, but the reasoning confirms the line is a good fit, follows the trend, and balances points.)