Chapter 12: Q.40 (page 718)
Does the line seem to fit the data? Why or why not?
Short Answer
A relationship is linear because points fall close to the straight line. Therefore, the line will be fit into the data.
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Chapter 12: Q.40 (page 718)
Does the line seem to fit the data? Why or why not?
A relationship is linear because points fall close to the straight line. Therefore, the line will be fit into the data.
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65. Explain what it means when a correlation has an of .
53. What effect did the potential outlier have on the line of best fit?
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?
A researcher is investigating whether population impacts homicide rate. He uses demographic data from Detroit, MI to compare homicide rates and the number of the population that are white males.

a. Use your calculator to construct a scatter plot of the data. What should the independent variable be? Why?
b. Use your calculator鈥檚 regression function to find the equation of the least-squares regression line. Add this to your
scatter plot.
c. Discuss what the following mean in context.
i. The slope of the regression equation
ii. The y-intercept of the regression equation
iii. The correlation \(r\)
iv. The coefficient of determination \(r2\).
For a given line of best fit, you compute that r = 0 using n = 100 data points. Can the line be used for prediction? Why or why not?
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