Run a regression analysis on the following bivariate set of data with y as the response variable.
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 32.6 as the explanatory variable. Use a significance level of to assess the strength of the linear correlation.
What is the predicted response value? (Report answer accurate to one decimal place.)
y =
| x | y |
|---|---|
| 21.5 | 26.6 |
| 23.6 | 33.4 |
| 34.5 | 36.6 |
| 28.5 | 34.7 |
| 35.8 | 37.2 |
| 9.7 | 28 |
| 34.4 | 37 |
| 37.7 | 35.4 |
| 38.6 | 35.3 |
| 19.3 | 25 |
| 39.3 | 34.1 |
| 11.3 | 27.2 |
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 32.6 as the explanatory variable. Use a significance level of to assess the strength of the linear correlation.
What is the predicted response value? (Report answer accurate to one decimal place.)
y =