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Using your calculator, run a regression analysis on the following bivariate set of data with y...

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Advance Math

Using your calculator, run a regression analysis on thefollowing bivariate set of data with y as the responsevariable.

x y

71.2 23.1

90.8 122.9

88.8 82.9

57.7 18.3

71.4 8.6

60.4 25.9

60.2 -43.1

88.5 77.4

68.2 -5.9

41.1 -83

61.4 -2.5

87.1 39.4

Find the correlation coefficient and report it accurate to threedecimal places. r =

What proportion of the variation in y can be explained by thevariation in the values of x? Report answer as a percentageaccurate to one decimal place. (If the answer is 0.84471, then itwould be 84.5%...you would enter 84.5 without the percent symbol.)r² = %

Based on the data, calculate the regression line (each value tothree decimal places) y = x +

Predict what value (on average) for the response variable willbe obtained from a value of 82.2 as the explanatory variable. Use asignificance level of ? = 0.05 to assess the strength of the linearcorrelation.

What is the predicted response value? (Report answer accurate toone decimal place.) y =

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Proportion of the variation in y can be explained by    See Answer
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