Reference no: EM132880137

Run a regression analysis on the following bivariate set of data with yx y39.6 76.7 as the response variable.

34.8 143.8

61.6 84.6

79.5 -29.1

54.9 137.7

70.7 14.2

49.4 62.3

46.8 36.7

52.9 65.2

60 32.7

66.6 26.4

51.8 69.5

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.)

r² = ______%

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 63.7 as the explanatory variable. Use a significance level 5 α=0.05 to assess the strength of the linear correlation.

What is the predicted response value? ______(Report answer accurate to one decimal place.)