Question
Run a regression analysis on the following bivariate set of data with y as the response...
Run a regression analysis on the following bivariate set of data with y as the response variable.
| x | y |
|---|---|
| 51.3 | 17.4 |
| 60.8 | 88.6 |
| 37.4 | 32.9 |
| 44.6 | 53.4 |
| 53.7 | 53.6 |
| 52.2 | 41.5 |
| 32.7 | 28.6 |
| 62.4 | 84.7 |
| 47.4 | 35.7 |
| 39.8 | 33.7 |
| 62.1 | 123 |
| 62 | 83.7 |
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)
ˆy=______+_______ x
Predict what value (on average) for the response variable will be
obtained from a value of 47.4 as the explanatory variable. Use a
significance level of α=0.05α=0.05 to assess the strength of the
linear correlation.
What is the predicted response value? (Report answer accurate to
one decimal place.)
ˆy=_______
Homework Answers
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