Three main characteristics of a correlation coefficient include all of the following except: A. It can be either positive or negative B. The size of the correlation is indicated by its strength (number), not its sign C. Negative correlations are more common than positive correlations D. It always falls between -1.0 and 1.0

Whn determining whether there is a correlation between two variables ,one should use a to explore the data visually.

A statement is made about correlation. State whether the correlation is positive or negative and whether the correlation is most likely due to coincidence, a common underlying cause, or a direct cause. If there is an underlying cause, state what the underlying cause is. If one directly causes the other, state which is the cause and which is the effect.(a) In Angela's class, the taller students got lower scores on the test.(b) As Thomas's income rose over the last 20 years so has his stress level.

An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. (A graphing calculator is recommended.) Age (x years)   20      40      60 Maximum heart rate(y beats per minute) 166    150    134 (a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.)(b) What is the significance of the value found in part (a)? The graph of the regression points passes through all three data points.One of the data points is the y-intercept.    The linear correlation coefficient should always be positive.The graph of the regression points passes through none of the data points.The slope of the regression is about half of what the expected value is. (c) Find the equation of the least-squares regression line. (Round your answers to two decimal places.)ŷ =        (d) Use the equation of the least-squares line from part (c) to predict the maximum…