Chapter 12: Q. 53 (page 719)
53. What effect did the potential outlier have on the line of best fit?
Short Answer
The line of best fit will become less accurate as a result of the potential outlier.
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Chapter 12: Q. 53 (page 719)
53. What effect did the potential outlier have on the line of best fit?
The line of best fit will become less accurate as a result of the potential outlier.
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A vacation resort rents SCUBA equipment to certified divers. The resort charges an up-front fee of and another fee of an hour.
What are the dependent and independent variables?
75. The following table consists of one student athlete's time (in minutes) to swim 2000 yards and the student's heart rate (beats per minute) after swimming on a random sample of 10 days:
| Swim Time | Heart Rate |
| 34.12 | 144 |
| 35.72 | 152 |
| 34.72 | 124 |
| 34.05 | 140 |
| 34.13 | 152 |
| 35.73 | 146 |
| 36.17 | 128 |
| 35.57 | 136 |
| 35.37 | 144 |
| 35.57 | 148 |
a. Enter the data into your calculator and make a scatter plot.
b. Use your calculator's regression function to find the equation of the least-squares regression line. Add this to your scatter plot from part a.
c. Explain in words what the slope and y-intercept of the regression line tell us.
d. How well does the regression line fit the data? Explain your response.
e. Which point has the largest residual? Explain what the residual means in context. Is this point an outlier? An influential point? Explain.
What would you predict the sales to be on day ?
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If you owned this stock, would you want a positive or negative slope? Why?
For a given line of best fit, you compute that using data points, and the critical value is . Can the line be used for prediction? Why or why not?
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