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Question 611:

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I used Minitab and got the following regression equation:

The regression equation is

Y = 3.77 + 1.55 X

So we see the best fitting line crosses the y-axis at 3.77, the y-intercept and has a slope of 1.55. However, both the slope and y-intercept are not significant at p <.05. We would expect to see these values fluctuate substantially given another set of data from this population.

To asses how well this equation fits the data, the adjusted R-squared value of .385 is obtained. In other words, X explains about 38.5% of the variation in Y. Overall, thats a relatively good fit for the small sample size we have here.

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