a) Describe the relationship between the number of cans of beer and BAC. b) Write the equation of the regression line. BAC = beers c)lnterpret the slope in context: For each can of beer, the model predicts the average BAC to increase by d) Interpret the intercept in context: The average person who has consumed 0 beers is expected to have an average BAC of - (This is obviously impossible. Here, the y-intercept serves only to adjust the height of the line and is meaningless by itself.) e) The correlation coefficient for number of cans of beer and BAC is 0.89. Calculate R and interpret it in context. R? = The R? value means that approximately % of the variability in blood alcohol content can be explained by number of cans of beer consumed.
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.
3. Can you please help me with theese problems.
a)
From the scatter diagram, it can be observed that as the values of variable cans of beer (x) increases, the value of variable blood alcohol content (y) has increases. This shows that there is positive relationship between the variables number of cans of beer and blood alcohol content.
b)
From the given output, the equation of the regression line is
Thus, the equation of the regression line is .
c)
For each can of beer, the model predicts the average BAC to increase by 0.0180.
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