State if there appears to be a positive correlation, negative correlation, or no correlation. 1) 70 2) 7000 60 6000 50 5000 40 4000 30 3000 20 2000 10 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 X Y X Y 4) X Y 158 XY XY 921 2800 5 600 9 300 6 33 4 700 6 500 10 200 3 40 6 63 9 94 80 90 700 600 70 500 50 400 40 300 30 200 20 100 10 8 9 10 4 6. 7. 8 6. X 6) x Y X Y 5) X Y Y X Y 20 80 50 190 70 290 10 60 1,600 3,000 5,200 5,000 5,500 2,000 6,400 1,000 6,700 9,000 6,900 1,000 10 70 30 120
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.
Scatter Plot : Scatter plot is a graphical method used to find out the correlation between two quantitative variables .
A scatter plot can show a positive relationship, a negative relationship, or no relationship. It can determine as :
- If the points on the scatter plot seem to form a line that slants up from left to right, there is a positive relationship or positive correlation between the variables.
- If the points on the scatter plot seem to form a line that slants down from left to right, there is a negative relationship or negative correlation between the variables.
- If the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.
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