https://smartwritings.org/wp-content/uploads/2020/07/logo-300x75.png 0 0 admin https://smartwritings.org/wp-content/uploads/2020/07/logo-300x75.png admin2020-08-12 09:19:202020-08-12 09:19:20researcher collects sample 20 observations two variables x and y and calculates following x
researcher collects sample 20 observations two variables x and y and calculates following x
A researcher collects a sample of 20 observations of two variables x and y and calculates the following x ̄ = 36.1 y ̄ = 100.35 sum of (xi − x ̄)2 = 4223.8 Cov (x, y) = 565.121 sum of (yi − y ̄)2 = 34366.55 Based on this data, the researcher wants to estimate the model E[Y|X]=β0 +β1X (a) What are the estimated coefficients b0 and b1? (b) What is R^2 for this regression? How would you interpret this value? (c) What is the predicted value of y if x = 45? (d) If the estimated standard error of b1 is sb1 = 0.305, what is the 95% confidence interval for Î²1? (e)(Optional, but highly recommended): Show that sbb = 0.305 (f) Test b1for significance at the 5% significance level (assume sbb = 0.305). Be sure to state you null and alternative hypothesis, your test statistic, and your rejection rule.Â Please, show some work.