Answered: To evaluate whether or not average life…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.FOM: Focus On Modeling: Fitting Lines To Data

Problem 10P

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To evaluate whether or not average life satisfaction self reported by residents of 119 nations was predictable from each nations’ GNP per capita, a bivariate linear regression was performed. Because of the small N (only 119 countries), the distributions of scores on GNP and life satisfaction did not correspond closely to an ideal normal distribution. The result of the overall regression equation was, F(1, 117) = 3.77, p = .067. Based on these results, what can the researcher conclude?

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The prediction model was not statistically significant at the conventional a = .05 level; each nations’ GNP per capita cannot predict average life satisfaction

The prediction model was statistically significant at the conventional a = .05 level; each nations’ GNP per capita predicts average life satisfaction

The prediction model was not statistically significant at the conventional a = .05 level; each nations’ GNP per capita predicts average life satisfaction

The prediction model was statistically significant at the conventional a = .05 level; each nations’ GNP per capita cannot predict average life satisfaction

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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