# Question

Consider the formula b = r(sy/sx) that expresses the slope in terms of the correlation. Suppose the data are equally spread out for each variable. That is, suppose the data satisfy sx = sy. Show that the correlation and the slope are the same. (In practice, the standard deviations are not usually identical. However, this provides an interpretation for the correlation as representing what we would get for the slope of the regression line if the two variables were equally spread out.)

## Answer to relevant Questions

Consider the formula a = - b for the y -intercept. a. Show that = a + b. Explain why this means that the predicted value of the response variable is ŷ = when x = . b. Show that an alternative way of expressing the ...For the 33 nations in the Internet Use data file on the text CD, consider the following correlations: a. Which pair of variables exhibits the strongest linear relationship? b. Which pair of variables exhibits the weakest ...Is there a relationship between the weight of a mountain bike and its price? A lighter bike is often preferred, but do lighter bikes tend to be more expensive? The following table, from the Mountain Bike data file on the ...Every General Social Survey includes the question, “Taken all together, would you say that you are very happy, pretty happy, or not too happy?” The table uses the 2008 survey to cross-tabulate happiness with family ...A graduate teaching assistant (Euijung Ryu) for Introduction to Statistics (STA 2023) at the University of Florida collected data from one of her classes in spring 2007 to investigate the relationship between using the ...Post your question

0