Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y = - 42.55z + 10.87 and the r = – 0.799. What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. Submit Question

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Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y=52.54x+69.85 and the r=0.086.What proportion of the variation in y can be explained by the variation in the values of x? r² = %Report answer as a percentage accurate to one decimal place.

Your Turn: Data Set 1 Instructions: Use the technology of your choice (calculator, Excel, GeoGebra, Google Sheets) to find the regression line, the correlation coefficient of the following data sets, and interpolate or extrapolate the requested data. (Round all numbers to the nearest hundredth, when necessary.) Data Set: {(0,7), (1,5), (1.5, 3), (2, 5), (2.3,3.2), (3, 2), (3.5, 4)} 1. The regression line is: y = 2. Based on the regression line, we would expect the value of response variable to be when the explanatory variable is 0. (NOTE: This is the y-intercept.) 3. For each increase of 1 in of the explanatory variable, we can expect a(n) decrease in the response variable. (NOTE: This is the slope.) 4. If x = 2.5, the y = This is an example of interpolation 5. The correlation coefficient is r = Check

Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y=84.14x+87.07 and the r=0.94 What percentage of the variation in y can be explained by the variation in the values of x?

Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y=−18.81x+12.98 and the r=−0.933.What proportion of the variation in y can be explained by the variation in the values of x? r² = %Report answer as a percentage accurate to one decimal place.

Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y=55.54x+24.01 and the r=0.11.What percentage of the variation in y can be explained by the variation in the values of x? r² = % (Report exact answer, and do not enter the % sign)

Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as and the r = -0.4. y=-60.93x + 87.44 What percentage of the variation in y can be explained by the variation in the values of x? r² = % (Report exact answer, and do not enter the % sign)

Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables.  r= 0.811

You need to determine the slope of the regression line for a data set. The sums of the variables are given below. n = 14 Ex = 146.5 Ey = 993 Exy = 10,427 Ex2 = 1552 Ey? : = 70,510.5 Find the slope, only. Round the answer to the thousandths place.