State if there appears to be a positive correlation, negative correlation, or no correlation. 1) 7 2) 7000 60 6000 50 5000 40 4006 30 300 20 2000 1000 2000 4000 6000 8000 4000 8000 Construct a scatter plot. State if there appears to be a positive correlation, negative correlation, or no correlation. 3) X Y 2800 X Y 5 600 X Y 9300 4) x Y XY XY 58 6 33 21 4 700 6 500 10 200 3 40 6 63 994 so 90 700 80 600 70 500 60 50 400 40 300 30 200 20 100 10 10 9 6) X Y X Y X Y 5) 1,600 3,000 5,200 5,000 5,500 2,000 Y Y 10 60 20 80 50 190 6,400 1,000 6,700 9,000 10 70 30 120 70 290 6,900 1,000 280 9000 240 8000 200 7000 600 160 5000 120 4000 80 3000 40 2000 1000 10 20 30 40 50 60 70 1000 2000 3000 4000 5000 6000
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.
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Correlation:
It is a statistical measure of the relation between two variables. To find whether the variable is related linearly or not, but it doesn't make any statements about the cause or the effect of the relationship.
Positive Correlation: Two variables are said to be positively correlated if the scatter plot of both variables having an approximately upward line by joining the points of the plot.
Negative Correlation: Two variables are said to be negatively correlated if the scatter plot of both variables having an approximately downward straight line by joining the points of the plot.
No Correlation: Two variables are said to have no correlation if the scatter plot of both variables having completely random points of the plot that one cannot draw any line by joining a point.
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