Question

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

x	y
28.8	90.1
30.6	139.6
12.6	42.2
18.1	94.8
13.9	28.5
31.9	102.4
-3.9	-13.4
16.7	57.1
11	55.8
16.8	76.3
31.7	80.1
43.5	123.8

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 11.1 as the explanatory variable.

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

Answer 1

b) Coefficient of Determination(R-squared):
It gives the measure of how close the data points are to the best fit line. In other words, it gives the proportion of variability in dependent variable that can be explained by the independent variable. Higher the Rsquared value, better the model is.




d) x = 11.1

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