Jazmin used a graphing calculator to graph a given dataset. She found that the trend line of her data is y=−0.694x+17.22 𝑦 = − 0.694 𝑥 + 17.22 and that the correlation coefficient is −0.9153 − 0.9153 . What conclusion should Jazmin make about the appropriateness of the linear model she found?

Question

￼ Jazmin used a graphing calculator to graph a given dataset. She found that the trend line of her data is y=−0.694x+17.22 𝑦 = − 0.694 𝑥 + 17.22 and that the correlation coefficient is −0.9153 − 0.9153 . What conclusion should Jazmin make about the appropriateness of the linear model she found?

GPT 3.5 · Answer

Jazmin can conclude that the linear model she found is appropriate for her dataset. The correlation coefficient of -0.9153 indicates a strong negative linear relationship between the variables, and the trend line fits the data well. Therefore, she can confidently use the linear model to make predictions and analyze the relationship between the variables in her dataset.