Question

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Run a regression analysis on the following bivariate set of data with y as the response variable. х у 54.7 26.5 55.1 25.9 49.6 21.9 55 24.1 55.4 23 46.9 22 50.4 21.4 54.7 22.9 49.8 24 49 20.9 57.8 23.9 56.1 25.9 Find the correlation coefficient and report it accurate to three decimal places. 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. (if the answer is 0.84471, then it would be 84.5%...you would enter 84.5 without the percent symbol.) Based on the data, calculate the regression line (each value to three decimal places) y- Predict what value (on average) for the response variable will be obtained from a value of 57.6 as the explanatory variable. Use a significance level of a = 0.05 to assess the strength of the linear correlation. What is the predicted response value? (Report answer accurate to one decimal place.) y- i a

Answer 1

@ the correlation Coefficient ท- 0.665 8 ra -44.2 ☺ Regression equation ŷ= . 0.353 Ict 4.863 (0) the best Predicted value 20 = 57.6 0-353x + 4.863 0.353x57.6 + 4.863 20.33 +4.863 25.2