Why is the mean a balance point? Why is the median a midway point? Why is the mode the most common data point?

1, If there is a non-linear relationship between a predictor variable and an outcome, what kind of shape would the scatterplot resemble? explain detail. along with the scatter plot.   2.. Why would the scatterplot resemble a funnel/triangle if the assumption of homoscedasticity is violated? explain with figures.

You need to use Stata to look up the dataset and its variables. Use Stata Companion Textbook. (Dataset: NES. Variables: spend8, [pw=nesw].) The NES dataset contains spend8, which records the number of government policy areas where respondents think spending should be increased. Scores range from 0 (the respondent does not want to increase spending on any of the policies) to 8 (the respondent wants to increase spending on all eight policies). The NES, of course, polls a random sample of U.S. adults. In this exercise you will analyze spend8 using the mean and lincom commands. You then will draw inferences about the population mean. (Remember to specify nesw as the probability weight.) The spend8 variable has a sample mean of ______. Make sure you use [pw=nesw] so your results are nationally representative. There is a probability of .95 that spend8’s true population mean falls between a score of ______ at the low end and a score of ______ at the high end. A student researcher…

What is the y-intercept of the prediction line?

Assume time to failure density function (in months) of transplanted kidneys has a Weibull distribution with shape factor of 3 and scale of 6. Use R and answer the following questions (enter your answers with 3 decimal points):

9    4    8    4    7 What is the mean? What is the median?

What is the median?

Question: Can you give an example of variable for which  the mean would not be appropriate to describe the data (that is, tell me a circumstance in which you would not want to use the mean to describe a dataset).

A real estate agent has developed a linear model for the price of a house, P, in dollars in terms of the area, A, in square feet for the homes in a certain neighborhood. The data set had areas ranging from 1,000 square feet to 4,500 square feet. Would predicting the prices of a home that is 4,900 square feet be interpolation or extrapolation? Explain.     Using the model to predict the price of a 4,900 square foot home is extrapolation because 4,900 square feet is outside the range of the areas in the data. Using the model to predict the price of a 4,900 square foot home is interpolation because 4,900 square feet is inside the range of the areas in the data. Using the model to predict the price of a 4,900 square foot home is extrapolation because 4,900 square feet is inside the range of the areas in the data. Using the model to predict the price of a 4,900 square foot home is interpolation because 4,900 square feet is outside the range of the areas in the data.

Describe the approximate shape of the histogram on NCAA coach pay. Then state whether the mean or median is higher. Give an approximation for both. Do you suspect any outliers?PART 3: