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Solve the Problem. -In One Study the Maximum Heart Rates of Conditioned Athletes

question 255

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Solve the problem.
-In one study the maximum heart rates of conditioned athletes were examined. A group of athletes was exercised to exhaustion. Let x represent an athlete's heart rate five seconds after stopping exercise and y represent an athlete's heart
Rate ten seconds after stopping exercise. It was found that the maximum heart rate H for these athletes satisfied the
Following two equations.
H = 0.491 x + 0.468 y + 11.2
H = -0.981 x + 1.872y + 26.4
If an athlete had a maximum heart rate of H = 160, determine the value of x graphically to the tenths place.


Definitions:

STDEV.P(data range)

A function in spreadsheet software that calculates the standard deviation of a dataset, considering the entire population.

STDEV.S(data range)

A statistical function in spreadsheet programs used to calculate the standard deviation for a sample set of data, indicating data variability.

Measures of Central Tendency

Statistical indicators that describe the center point or typical value of a dataset, including the mean, median, and mode.

Standard Deviation

A gauge for the degree of spread or variability among figures in a collection.

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