Explain in general terms the relationship that exists between the Poisson and exponential distribution and some example that demonstrates it
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Explain in general terms the relationship that exists between the Poisson and exponential distribution and some example that demonstrates it
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- A popular television show recently released a video previewing the upcoming season on his website as fans of the show discovered the video the number of views of the preview video has grown each day during the last two weeks the number of days in the release of the video and the natural log of the number of video views as shown in the scatterplot. based on the scatterplot and residual plot, what type of model would be appropriate for summarizing the relationship between days and numbers of views? an exponential model is appropriate because the Residual plot does not show a clear pattern A linear model is appropriate because of scatterplot shows a strong positive linear relationship A power model is appropriate because the scatterplot of days a natural log of use is strong and linear an exponential model is appropriate because the relationship between the days in the natural log of views in linear and the residual plot does not show a clear patternQ. No. 1. The cost per item at a supermarket follows an exponential distribution. There are many inexpensive items and a few relatively expensive ones. The mean cost per item is $3.59. What is the percentage of items that cost: [5] i. Less than $1.5? ii. More than $2.5? ii. Between $2 and $4? iv. Find the 35th percentile. Sixty five percent of the supermarket items cost more than what amount? V.Exercise 6. Regression Fallacy. Historically, scores on the two midterms had a correlation of 0.48. Suppose that Jeri scored 2.1 standard deviations below the mean on the first midterm. (a) How many standard deviations [above or below?] the mean would you predict for her second midterm?
- The time intervals between cars that successively pass a toll booth have an exponential distribution with a mean of 8 minutes. Find a time interval t in minutes such that we can be 95% sure that the time interval between two successive cars passing through the toll booth will be greater than t. Round to 2 decimal placesTRUE OR FALSE: Given: Suppose there is a negative correlation between anxiety and performance on complex tasks, then either high level of anxiety causes poor performance on complex tasks or poor performance on complex tasks causes high levels of anxiety. TRUE OR FALSE STATISTICSA correlation value of -0.92 is positive and strong positive and weak positive negative and strong
- A scatterplot with no linear trend will have an r value of zero true or false?An article in the European Physical Journal B ["Evidence for the exponential distribution of income in the USA" (2001, Vol. 20, pp. 585- 589)] shows that individual income in the US can be approximated with an exponential distribution. Suppose that the mean of individual income in a year is $25000. eTextbook and Media (b) What percentage of individuals in the US earn less than $20000? Round your answer to three decimal places (e.g. 0.987). P(X 50000) = (d) What is the income exceeded by 1% of individuals? Round your answer to the nearest integer (e.g. 9876). x =Explain the conceptual significance of odds in logistic regression. of P(Y=1) is 0.60 calculate odds. For what value of P(Y-1), will the odds be 1? The graph for probabilities of logistic distribution can explain the consumer behavior and reducing rate of marginal utility. Do you agree? Explain with a diagram
- Age is a variable that is important in most if not all epidemiological studies of health because our health is so strongly related to age. The following table is a two-dimensional table that summarizes the distribution of age in a certain population every five years starting with 1970 (the first row) to 2000 (the last row). Each row contains information for one year. Reading across the row (over the column), the table shows the number of individuals in each age group. If you choose this option, please do the following: (a) using the data provided, produce a new two-dimensional table that shows, for each year, the percentage of that year’s total population in each age interval (Tip! In each row, the sum of your percentages should be 100%); and (b) write a brief report (a paragraph or so, no more!) on what these summaries suggest regarding the possibility (or lack thereof) of changes over time in the age distribution of this population. Interval of Age, years…The average lifetime of a certain new cell phone is 5 years. The manufacturer will replace any cell phone failing within 3 years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution.What is the median lifetime of these phones (in years)? (Round your answer to four decimal places.)