You run a regression analysis on a bivariate set of data (n = 19). You obtain the regression equation y = -0.266x - 52.481 with a correlation coefficient of r=-0.594 (which is significant at a = 0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 10 on the response variable. What is the predicted explanatory value? x = (Report answer accurate to one decimal place.)

Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?

Find the correlation coefficient given the estimated regression equation = 25+6x and ² = .8754.

You run a regression analysis on a bivariate set of data (n = 66). With a = 78.7 and = 71.7, you obtain the regression equation y = - 2.254x – 10.495 with a correlation coefficient of r = - 0.061. You want to predict what value (on average) for the response variable will be obtained from a value of 10 as the explanatory variable. What is the predicted response value?

You run a regression analysis on a bivariate set of data (n=109). With x¯=72.2 and y¯=34.7, you obtain the regression equation                               y= - 0.898x - 42.514 with a correlation coefficient of r=-0.086. You want to predict what value (on average) for the response variable will be obtained from a value of 140 as the explanatory variable. What is the predicted response value? y =

You run a regression analysis on a bivariate set of data (n = 51). You obtain the regression equation y=-4.028r+-18.476 with a correlation coefficient of r=-0.91 (which is significant at a = 0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 170 on the response variable. What is the predicted explanatory value? X = (report 3 decimals)

You run a regression analysis on a bivariate set of data (n = 38). With a y = 46.8, you obtain the regression equation y = 2.033x + 125.884 with a correlation coefficient of r = -0.516. You want to predict what value (on average) for the response variable will be obtained from a value of x = 180 as the explanatory variable. What is the predicted response value? y = 38.9 and (Report answer accurate to one decimal place.)

You run a regression analysis on a bivariate set of data (n = 102). You obtain the regression equation y = - 3.412a + 10.106 with a correlation coefficient of r = - 0.793 (which is significant at a = 0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 60 on the response variable. What is the predicted explanatory value?

You run a regression analysis on a bivariate set of data (n = 49). You obtain the regression equation %3D 0.663x + – 46.846 0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 110 on the response with a correlation coefficient of r = 0.621 (which is significant at a = variable. What is the predicted explanatory value? X = (Report answer accurate to one decimal place.)

From a regression equation r2= 0.39 and the slope = -2.8 What is the linear correlation coefficient r?