Question

what does the scatterplot indicate about the relationship between amount of water and beans produced? select all that apply. there is a positive correlation between the amount of water and the beans produced. there is a weak correlation between the amount of water and the beans produced. there is a causal relationship between the amount of water and the number of beans produced. there is a negative correlation between the amount of water and the beans produced. a reasonable value of r is 0.5. there is a strong correlation between the amount of water and the beans produced.

Explanation:

• Positive Correlation: As water applied (x - axis) increases, beans produced (y - axis) also increase, so positive correlation holds.
• Weak Correlation? No: The points lie close to a straight line, indicating a strong, not weak, linear relationship.
• Causal Relationship? Maybe: While correlation doesn't imply causation, in this context (water affecting bean growth is biologically plausible), a causal relationship is reasonable here (but note correlation ≠ causation always, but for this question, this option can be considered as water is a factor for bean production).
• Negative Correlation? No: The trend is increasing, so negative correlation is incorrect.
• r = 0.5? No: A strong positive linear relationship would have \( r \) close to 1, not 0.5.
• Strong Correlation: The points are close to a straight line, so there is a strong positive correlation.

So the correct options are:

• There is a positive correlation between the amount of water and the beans produced.
• There is a causal relationship between the amount of water and the number of beans produced.
• There is a strong correlation between the amount of water and the beans produced.

Answer:

A. There is a positive correlation between the amount of water and the beans produced.
C. There is a causal relationship between the amount of water and the number of beans produced.
F. There is a strong correlation between the amount of water and the beans produced.