How can Spearman's Rank Correlation or Spearman's Product Moment Correlation Coefficient be applied to a real-life problem?

The correlation coefficient between the yearly returns of two mutual funds is 0.20. What does that mean about the strength and direction of the linear relationship between the returns of the two funds?

As the value of correlation coefficient increases from 0 to 1, or decreases from 0 to -1, how do the points of the scatter plot fit the regression line?

Can you help me out by showing me an example of a weak positive correlation scatter plot? with a relistic example that shows the two variables that demonstrate this pattern?

If the Pearson correlation between X and Y is negative, then the regression equation will have a negative slope. true or false

Please give an example of an IMPOSSIBLE correlation coefficient.

Explain in simple language why knowing only these correlations enables you to say that prediction of manatee deaths from number of boats registered by a regression line will be much more accurate than prediction of a golfer's second‑round score from his first‑round score. Select the correct explanation from the choices.   A) The closer r is to 0 (in either direction), the stronger the linear relationship is between two variables.   B) Actually, prediction of manatee deaths from number of boats registered by a regression line will be much less accurate than prediction of a golfer's second‑round score from his first‑round score.   C) The fraction of the variation in the observed values of x explained by the least‑squares regression of y on x is given by r. The higher this fraction, the more likely that the prediction is accurate.   D) The further r is from 0 (in either direction), the stronger the linear relationship is between two variables.

Suppose that the New England Colonial baseball team has a very high chance of not winning a particular game. Also, suppose you pick a random sample of 30 colony games.   Answer the following. (a)          Estimate the number of games in the sample that the Colonials win by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. (b)          Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.

The consumption function captures one of the key relationships in economics. It expresses consumption as a function of disposal income, where disposable income is income after taxes. The attached file "Regression-Dataset1" shows data of average US annual consumption (in $) and disposable income (in $) for the years 2000 to 2016. a)what is the Pearson correlation value between income and consumption? Select one: Ⓒa. 0.978 b. 0.109 c. None of the above d. 0.791

Statistics Question