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Regression and Predictions. Exercises 13–28 use the same data sets as Exercises 13–28 in Section 10-1. In each case, find the regression equation, letting the first variable be the predictor (x) variable, hind the indicated predicted value by following the prediction procedure summarized in Figure 10-5 on page 493.
13. Internet and Nobel Laureates Find the best predicted Nobel Laureate rate for Japan, which has 79.1 Internet users per 100 people. How does it compare to Japan’s Nobel Laureate rate of 1.5 per 10 million people?
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- Chapter 9, Section 1, Exercise 006 Computer output for fitting a simple linear model is given below. State the value of the sample slope for this model and give the null and alternative hypotheses for testing if the slope in the population is different from zero. Identify the p-value and use it (and a 5% significance level) to make a clear conclusion about the effectiveness of the model.The regression equation is Y=81.0-0.0155X. Predictor Coef SE Coef T P Constant 80.96 11.62 6.97 0.000 X -0.01546 0.01288 -1.20 0.245arrow_forward2.state each of the five assumptions of the classical regression model (OLS) and give an intuitive explanation of the meaning and need for each of themarrow_forwardIn Australia, 16% of the adult population is nearsighted.17 If three Australians are chosen at random, what is the probability that two are nearsighted and one is not? 2.state each of the five assumptions of the classical regression model (OLS) and give an intuitive explanation of the meaning and need for each of them.arrow_forward
- For the regression model Yi = b0 + eI, derive the least squares estimator.arrow_forwardSection 10.2 Question #5 Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. x 7 10 8 9 12 14 13 5 11 6 4 y 8.11 10.67 9.27 10.12 10.86 9.82 10.49 4.89 10.91 6.66 2.82 y= ____________+ _____________x (Round to two decimal places as needed.)arrow_forwardChapter 6, Section 4-D, Exercise 181 Use the formula to find the standard error of the distribution of differences in sample means, x¯1-x¯2.Samples of size 26 from Population 1 with mean 6.6 and standard deviation 4.0 and samples of size 44 from Population 2 with mean 8.5 and standard deviation 7.4Round your answer for the standard error to two decimal places.standard errorarrow_forward
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