In: Statistics and Probability
Determine if the following statements are true/false If the statement is false, either correct it or briefly explain why it is false.
________ The correlation coefficient indicates the change in y
associated
with a unit change in x.
________To conduct a valid regression analysis, both x and y
must be
approximately normally distributed.
________ All data points will fit the regression line exactly if
the sample
correlation is either +1 or −1.
_________ If r > 0, then as x increases, y tends to increase.
_________ The correlation coefficient can be used to detect any
relationship
between two variables.
_________ If r is very close to either +1 or −1, then there is a
cause and
effect relationship between x and y.