Suppose you estimated the following regression and obtain results as outlined below. Standard errors in parentheses. Ay, = 2.4 + 0.926y,+u, (0.224) (0.043) Test the hypothesis that y, has a unit root vs the alternative that it does not at the 5% level of significance.
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- The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.Suppose you obtain the following regression model, E[y]=91+79*x1 +20*x1*x2. What is the impact of a 39 unit change of x1 on the expected value of y when x2 is at its mean of 40?Consider the following hypothetical regression, with FAIL? as a dummy variable for if a business failed in its first year (1=failed, 0=didn’t fail); LOAN is how much money, in thousands of dollars, the business got as a loan when it started; GIG? is a dummy variable for if there was a gig economy job available, such as driving for Lyft (1=available, 0=not available), and COMP is the number of existing competitors the business faced when it started. All variables are statistically significant. FAIL? = 0.63 – 0.01*LOAN – 0.08*GIG? + 0.05*COMP Answer the following: Determine the predicted value of FAIL? if the business had a $30,000 loan, there was no gig economy, and four competitors. In everyday language, what does the estimated value found in A mean? If a business gets an additional six thousand dollars in loans, how would FAIL? change? Give the “punchline” interpretation of the COMP variable: “For every additional competitor…”
- A surgery intern has conducted a study of the sleeping habits of her colleagues and has developed a following regression equation: y-hat = 6 + 0.1X, where X is the number of hours working on one shift, and Y is the number of hours sleeping at night after that shift. Yvette worked 10 hours and slept 8 hours. What is Yvette’s residual? 0.1 1 6 7BASED ON THIS DATA, what does the r^2 values tell you? and the linear regression line is the information statistically significant?Use the following linear regression equation to answer the questions. x1 = 1.0 + 3.9x2 – 8.4x3 + 2.4x4 Suppose x2 decreased by 4 units. What would be the expected change in x1?
- A sample of X and Y scores is taken, and a regression line is used to predict Y from X. If SSY' = 300, SSE = 500, and N = 50, what is(a) SSY?(b) the standard error of the estimate?(c) R2?Suppose you obtain the following regression model, E[y]=67+75*x. What is the impact of a 92 unit change of x on the expected value of y?The following X and Y scores produce SSx=2 and SP=8. What is regression equation for predicting Y? X Y 1 2 2 3 3 10
- For the simple regression equation (a), conduct an individual significance tests at the 5% significance level to determine if SQFT is a significant predictor of Price. (Check photo for data)A researcher conducted a number of descriptive statistics for two variables X and Y. They were as follows: SP = -20; SSx = 4; My = 7; Mx = 3 What is b equal to? What is a equal to? Using b and a construct a regression equation, and then using the regression equation, calculate the value of predicted Y when X = 2?For the following scores X Y 3 8 5 8 2 6 2 3 4 6 1 4 4 7 Compute the standard error of estimate for this regression equation and show steps please!