An aerobic exercise instructor remembers the data given In the following table, which shows the recommended maximum exercise heart rates for Individuals of the ages. (A graphing calculator Is recommended.) Age (x years) 20 40 60 Maximum heart rate 174 159 144 (y beats per minute) (a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.) (b) What is the significance of the value found in part (a)? O The graph of the regression points passes through all three data points. O The graph of the regression points passes through none of the data points. O One of the data points is the y-Intercept. O The linear correlation coefficient should always be positive. O The slope of the regression is about half of what the expected value is. (c) Find the equation of the least-squares regression line. (Round your answers to two decimal places.)

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The average remaining lifetimes for women of various ages in a certain country are given in the following table. (A graphing calculator is recommended.)
Average Remaining
Lifetimes for Women
Age (x)
Years (y)
0.
79.2
15
66.5
35
46.0
65
18.7
75
11.5
(a) Find the equation of the least-squares line for the data. (Round all numerical values to two decimal places.)
(b) Use the equation from part (a) to estimate the remaining lifetime of a woman of age 27. (Round your answer to the nearest year.)
yr
(c) Is the procedure in part (b) an example of interpolation or extrapolation?
interpolation
extrapolation
Transcribed Image Text:The average remaining lifetimes for women of various ages in a certain country are given in the following table. (A graphing calculator is recommended.) Average Remaining Lifetimes for Women Age (x) Years (y) 0. 79.2 15 66.5 35 46.0 65 18.7 75 11.5 (a) Find the equation of the least-squares line for the data. (Round all numerical values to two decimal places.) (b) Use the equation from part (a) to estimate the remaining lifetime of a woman of age 27. (Round your answer to the nearest year.) yr (c) Is the procedure in part (b) an example of interpolation or extrapolation? interpolation extrapolation
An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for Individuals of the given
ages. (A graphing calculator is recommended.)
Age (x years)
20
40
60
Maximum heart rate
174
159
144
(y beats per minute)
(a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.)
(b) What is the significance of the value found in part (a)?
O The graph of the regression points passes through all three data points.
The graph of the regression points passes through none of the data points.
One of the data points is the y-intercept.
The linear correlation coefficient should always be positive.
The slope of the regression is about half of what the expected value is.
(c) Find the equation of the least-squares regression line. (Round your answers to two decimal places.)
(d) Use the equation of the least-squares line from part (c) to predict the maximum exercise heart rate for a person who is 70. (Round your answer to the nearest
whole number.)
beats per minute
(e) Is the procedure in part (d) an example of interpolation or extrapolation?
Oextrapolation
interpolation
Transcribed Image Text:An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for Individuals of the given ages. (A graphing calculator is recommended.) Age (x years) 20 40 60 Maximum heart rate 174 159 144 (y beats per minute) (a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.) (b) What is the significance of the value found in part (a)? O The graph of the regression points passes through all three data points. The graph of the regression points passes through none of the data points. One of the data points is the y-intercept. The linear correlation coefficient should always be positive. The slope of the regression is about half of what the expected value is. (c) Find the equation of the least-squares regression line. (Round your answers to two decimal places.) (d) Use the equation of the least-squares line from part (c) to predict the maximum exercise heart rate for a person who is 70. (Round your answer to the nearest whole number.) beats per minute (e) Is the procedure in part (d) an example of interpolation or extrapolation? Oextrapolation interpolation
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