Questions: The accompanying table gives the distance from a particular city to seven other cities (in thousands of miles) and gives the time for one randomly chosen, commercial airplane to make that flight. Do a complete regression analysis that includes a scatterplot with the line, interprets the slope and intercept, and predicts how much time a nonstop flight from this city would take to another city that is located 3000 miles away. Does it seem that the trend is linear, or is there a noticeable curve? Find the equation for predicting time (in hours) from miles (in thousands). Predicted Time = 1.5 + 0.5 Thousand Miles

The accompanying table gives the distance from a particular city to seven other cities (in thousands of miles) and gives the time for one randomly chosen, commercial airplane to make that flight. Do a complete regression analysis that includes a scatterplot with the line, interprets the slope and intercept, and predicts how much time a nonstop flight from this city would take to another city that is located 3000 miles away.

Does it seem that the trend is linear, or is there a noticeable curve?

Find the equation for predicting time (in hours) from miles (in thousands).
Predicted Time = 1.5 + 0.5 Thousand Miles

Transcript text: The accompanying table gives the distance from a particular city to seven other cities (in thousands of miles) and gives the time for one randomly chosen, commercial airplane to make that flight. Do a complete regression analysis that includes a scatterplot with the line, interprets the slope and intercept, and predicts how much time a nonstop flight from this city would take to another city that is located 3000 miles away. Does it seem that the trend is linear, or is there a noticeable curve? Find the equation for predicting time (in hours) from miles (in thousands). Predicted Time $=1.5+0.5$ Thousand Miles

Solution

Solution Steps

Step 1: Identify the Trend

The problem asks whether the trend is linear or if there is a noticeable curve. By examining the scatterplots, we can see that the data points form a straight line, indicating a linear trend.

Step 2: Determine the Appropriateness of the Linear Model

Since the data points form a straight line, a linear model is appropriate. This is confirmed by the statement in the problem that there is a linear trend in the data.

Step 3: Find the Equation for Predicting Time

The problem provides the equation for predicting time (in hours) from miles (in thousands): \[ \text{Predicted Time} = 1.5 + (0.5 \times \text{Thousand Miles}) \] This equation can be used to predict the time for a nonstop flight based on the distance in thousands of miles.

Final Answer

The trend is linear, and the linear model is appropriate. The equation for predicting time (in hours) from miles (in thousands) is: \[ \text{Predicted Time} = 1.5 + (0.5 \times \text{Thousand Miles}) \]

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