[size=150]The results are in the table. [/size][br][br][img]data:image/png;base64,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[/img][br][br]Create a relative frequency table that shows the percentage of comedy lovers that prefer each location and the percentage of drama lovers that prefer each location.
[size=150]Due to the difficulty in making soil B, there were only 100 corn plants grown in that soil type.[/size][br]Complete the table so that it suggests no association between soil type and time to reach harvest readiness. Explain your reasoning.
[size=150]The scatter plot displays the relationship.[/size][br][br][img]data:image/png;base64,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[/img][br][br][size=150]The line that models the data is given by the equation [math]y=73x+146.53[/math], where [math]x[/math] represents the number of traffic tickets, and [math]y[/math] represents the cost of car insurance.[/size][br][br]The slope of the line is 73. What does this mean in this situation? Is it realistic?[br]
The [math]y[/math]-intercept is [math]\left(0,146.53\right)[/math]. What does this mean in this situation?
[size=150]The data in the table display their findings. 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[/img][/center]
Is a linear model appropriate for this data? Explain your reasoning.
If the data seems appropriate, create the line of best fit. Round to two decimal places.
What is the slope of the line of best fit and what does it mean in this context? Is it realistic?[br]
What is the [math]y[/math]-intercept of the line of best fit and what does it mean in this context? Is it realistic?[br]
[size=150]The graph shows the relationship between the length of a person's stay in the hospital in days, [math]x[/math], and the amount owed for the hospital bill. The line of best fit for the data is [math]y=1,899.66x+852.81[/math].[br][br]Find the residuals for the three patients who were in the hospital for 6 days:[/size][br][math]\left(6,14320\right)[/math]
[math]\left(6,7900\right)[/math]
[math]\left(6,13998\right)[/math]
[size=150]Compare the residuals for the three patients.[/size][br]How are they similar? How are they different? What does the information about the residuals for the three patients tell you about their hospital bills? [br]
[size=150]Select [b]all[/b] the values for [math]r[/math] that indicate a strong, negative relationship for the line of best fit.[/size]
Which value for the correlation coefficient is most likely to match a line of best fit of the form [math]y=mx+b[/math] for this situation?
[size=150]The correlation coefficient for the line of best fit is 0.76.[/size][br][br]Are they correlated? Explain your reasoning.[br]
Do either of the variables cause the other to change? Explain your reasoning.[br]
[size=150]They show a scatter plot displaying a weak negative relationship ([math]r=-0.13[/math]) between essential oil use and hormone levels.[/size][br][br]What is wrong with this claim?[br]
What is a better headline for this information?[br]
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[/img][/center][br][br]What conclusions, if any, can you draw from the information provided? Justify your thinking with mathematics learned from this unit.
What conclusions can you not draw from the information provided? Justify your thinking with mathematics learned from this unit. [br]