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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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The average number of people in a family that attended college for various years is given in Table 12.29.
a. Using 鈥測ear鈥� as the independent variable and 鈥淣umber of Family Members Attending College鈥� as the dependent variable, draw a scatter plot of the data.
b. Calculate the least-squares line. Put the equation in the form of: \(\hat{y}=a+bx\)
c. Find the correlation coefficient. Is it significant?
Amelia plays basketball for her high school. She wants to improve to play at the college level. She notices that the number of points she scores in a game goes up in response to the number of hours she practices her jump shot each week. She records the following data:
| (hours practicing jump shot) | (points scored in a game) |
| 5 | 15 |
| 7 | 22 |
| 9 | 28 |
| 10 | 31 |
| 11 | 33 |
| 12 | 36 |
Construct a scatter plot and state if what Amelia thinks appears to be true.
The price of a single issue of stock can fluctuate throughout the day. A linear equation that represents the price of stock for Shipment Express is where x is the number of hours passed in an eight-hour day of trading.
What are the slope and y-intercept? Interpret their meaning.
Using the data to determine the linear-regression line equation with the outliers removed. Is there a linear correlation for the data set with outliers removed? Justify your answer.
SCUBA divers have maximum dive times they cannot exceed when going to different depths. The data in Table 12.4 show different depths with the maximum dive times in minutes. Use your calculator to find the least-squares regression line and predict the maximum dive time for feet.
| X (depth in feet) | Y (maximum dive time) |
| 50 | 80 |
| 60 | 55 |
| 70 | 45 |
| 80 | 35 |
| 90 | 25 |
| 100 | 22 |
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