Šuppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.877 and the equation of the regression line is y = 20.45 +0.81x, where x represents the IQ score of the older child. Also, the 20 x values have a mean of 105.5 and the 20 y values have a mean of 105.75. What is the best predicted IQ of the younger child, given that the older child has an IQ of 103? Use a significance level of 0.05. E Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted IQ of the younger child is (Round to two decimal places as needed.)

A statistical program is recommended. An automobile dealer conducted test to determine whether the time needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data (time in minutes) obtained follow. x₂ Analyzer 0 Computerized Electronic Define all variables. Let x₁ = 0 if a computerized analyzer is used, or let x₁ = X3 O Ho: B₁ * 0 H₂: B₁ = 0 0 Compact 1 52 Car 41 Compact Intermediate Full Size Intermediate O Ho: One or more of the parameters is not equal to zero. H₁: B₂ =B3 = 0 Car 57 Find the p-value. (Round your answer to three decimal places.) p-value = 43 Use α = 0.05 to test for any significant differences between the two analyzers. State the null and alternative hypotheses. O Ho: B₁ = 0 H₂: B₁ = 0 Full Size o Ho: Ba = By = 0 H₂: One or more of the parameters is not…

What should we do when we have (imperfect) multicollinearity? Drop some of the independent variables. Add more independent variables in order to reduce multicollinearity. Consider testing whether the highly collinear variables are jointly significant. O Ignore it no matter what.

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