Question
Run a regression analysis on the following bivariate set of data with y as the response variable. x y 69.8 43.2 56.4 61.4 61.3 58
Run a regression analysis on the following bivariate set of data with y as the response variable.
x | y |
---|---|
69.8 | 43.2 |
56.4 | 61.4 |
61.3 | 58 |
66.8 | 57.3 |
52.7 | 69.5 |
65 | 55.6 |
65.8 | 50.4 |
61.3 | 60.3 |
70.8 | 47.8 |
69.4 | 51.1 |
64.5 | 61.6 |
63.7 | 55.1 |
Find the correlation coefficient and report it accurate to three decimal places. r = 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.) r = % Based on the data, calculate the regression line (each value to three decimal places) y = x + Predict what value (on average) for the response variable will be obtained from a value of 61.4 as the explanatory variable. Use a significance level of =0.05 to assess the strength of the linear correlation. What is the predicted response value? (Report answer accurate to one decimal place.) y =
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