An aerabik exercise instructer remambars the data givan in the follaming table, which shows the recommandad maximum exarcise haart rates for individuals of the given ag (A graphing calculator is racommended.) Age (x years) 20 40 G0 Maximum heart rate 172 155 138 (y heats per minute) (a) Finc the lircar corelation caefficient for the data. (Round your answer to two dacimal places.) (b) What is the signiticance of the value found in part (a)? O The slope of the regression is about half of whet the expected value is. O The graph of the regression points passes through nere of the date points. * The graph of the regression points passes through all three data peints. O One of the data points is the y-intercept. O The linear correlation coefficient should always be positive. (c) Find the equetion of the leest-squeres regression line. (Round your answers to two decimal pleces.)
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
![An aerabk exercise instructor remembars the data givan in the follawing table, which shows the recommanded maximum exercise haart rates for individuals of the given ages.
(A graphing calculator is recommended.)
Age (x years)
20
40
60
Maximum heart rate
172 155 138
(y bente per minute)
(a) Find the lincar corelation coefficient for the deta. (Rcund your answer to two decimal places.)
(b) What is the signiticance of the value found in part (a)?
O The slope of the regression is about half of what the expected value is.
O The graph of the regression points passes through nene of the data points.
* The graph of the regression points passes through all three data peints.
O One of the data points is the y-intercept.
O The linear correlation cooficient should always be positive.
(c) Find the equetion of the leest-squeres regression line. (Round your answers to two decimal pleces.)
(d) Use the equation of the least-squares line from part (c] te predict the maximum cxercise heart rate fer a person who is 74. (Round your answer to the nearest
whole number.)
beats per minute
Taking Alicis San Dinga, Ma
(e) Is the procedure in part (d) an exemple of interpolation or extrapolation?
O interpolation
O extrapolation](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb553ece9-b82a-433c-96a1-e85ef2808a31%2Fb1ff56d6-0226-4eeb-af21-39fc3d9b14cb%2Ffui4jsw_processed.jpeg&w=3840&q=75)
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