un a regression analysis on the following bivariate set of data with y as the response variable.

x y

51.5 53.8

36.8 83.2

43.9 65.4

61.3 68.8

51.3 28.3

61.3 39.2

51.1 67.4

69 11.3

63.1 1.3

43.5 80.8

44.8 73.1

62.4 37.1

Find the correlation coefficient and report it accurate to three decimal places.

r = Correct

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 35.7 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 =