Question

ch 4 look at the following scatterplot. choose which description best fits the plot.
direction: positive; form: linear; strength: weak
direction: positive; form: non - linear; strength: weak
direction: negative; form: linear; strength: strong
no relationship
direction: positive; form: non - linear; strength: strong
question 9
1 pts
ch 4 if two numerical variables, x and y, are strongly associated, we can say that variable x causes variable y to change.
true
false

Explanation:

For the scatter - plot question:

• Direction: As the batting average (x - axis) increases, the strike - outs (y - axis) also tend to increase, so the direction is positive.
• Form: The points do not form a straight - line pattern (which would be linear), so the form is non - linear.
• Strength: The points are spread out, not tightly clustered, so the strength is weak.

For the association - causation question:

• Just because two variables \(X\) and \(Y\) are strongly associated does not mean \(X\) causes \(Y\). There could be a lurking variable, or the relationship could be coincidental. For example, ice - cream sales (\(X\)) and crime rate (\(Y\)) might be positively associated in a city (both increase in summer), but ice - cream sales do not cause crime.

Answer:

For the scatter - plot question: Direction: positive; form: non - linear; strength: weak.
For the association - causation question: False.