Question

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Explanation:

Analyze the scatter plot correlation

$$ \text{Trend: As Screen Time increases, Math Mark generally decreases.} $$

$$ \text{Strength: The points are moderately close to a straight line (not extremely tight, but a clear linear trend exists).} $$

$$ \text{Direction: Negative correlation (downward slope).} $$

Complete the relationship sentence

$$ \text{Independent variable (Screen Time): increases} $$

$$ \text{Dependent variable (Math Mark): decreases} $$

Determine the line of best fit and coordinate placement

$$ \text{Line of best fit: A line passing through the middle of the points, roughly from } (0, 90) \text{ to } (9, 30). $$

$$ \text{Personal coordinate: A representative point on or near the trend line, e.g., } (3, 70). $$

Answer:

Question a

The two words that describe the strength and type of correlation are:
moderate and negative

Question b

Screen time affects the math mark, because as the screen time in hours increases, a student's math mark decreases.

Question c

To draw the line of best fit, place a ruler on the graph so that it goes through the middle of the plotted points, balancing the number of points above and below the line. It should start around \( (0, 90) \) and slope downwards to around \( (9, 30) \).

Question d

A coordinate that represents a typical student's relationship on this graph is \( (3, 70) \) (representing 3 hours of screen time and a math mark of 70%).