{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

cribsheetfinal

# cribsheetfinal - 1)You are doing a one sided greater than...

This preview shows pages 1–2. Sign up to view the full content.

1)You are doing a one sided, greater than, hypothesis test for the population proportion using a sample of 25, and you get a test statistic of 1.7.: you can reject the null hypothesis at the 5% significance level, but not at the 2.5% level 2.Determine the sample size needed in order to be 95% confident that the sample proportion of the current customer accounts is within 0.015 of the true proportion of all current accounts forthis company: p: n=z(alpha/2)(p^(1-p^)/ME^2 = 4,269 If u: n=(z(alpha/2)(s)/ME))^2 3) In this multiple regression model, the salaries are in thousands of dollars. The dummy variable for gender is statistically significant and X1 = 0 if male and X1 = 1 if female. X2 measures experience in years. The estimated model is: Salary = 20 - 3X1 + 2 X2 : The average effect of experience on salary is the same for females and males 4) A linear regression model for dependent variable Y and independent variables X1, X2, and X3 has a R2 value of 60%. Then the absolute value of the correlation between X3 and Y is: Can’t be determined 5) Consider the following multiple regression setting: F=56.25, n=111, k=10. Based on what is given find r2=.6 The regression equation is Sqrt Sales = 6.76 + 0.0177 YrsExperience + 0.0275 MktPotential + 0.0820 MktShare Predictor Coef SE Coef T P VIF Analysis of variance Constant 6.7631 0.1474 45.88 Source DF SS MS F P YrsExperience 0.017680 0.004931 1.400 Regression 3 3.3783 1.1261 40.103 0.0000 MktPotential 0.027537 0.005053 1.405 Residual erro 28 .7862 .0281 MktShare 0.08196 0.01396 1.036 Total 31 4.1645 S = 0.167571 R-Sq = 81.12% R-Sq(adj) = 79.1% New New Obs Fit SE Fit 95% CI 95% PI Obs YRS exp Mktpotential Mktshare 1 8.2636 0.0386 (8.1846, 8.3426) (7.9113, 8.6158) 1 12 20 9 6)What is the sample size n = k+n = 28 + 3 + 1= 32 7.)What are the null and alternative hypotheses for the test of the overall significance of the linear regression model? H0: β1 = β2 = β3 = 0 vs. Ha: at least one β j = 0 ̸ 8.What range would you give with 95% confidence for the square root of sales of an individual sales representative with YrsExperience = 12, MktPotential = 20, and MktShare = 9? [7.9113, 8.6158] 9) What percentage of variation in Sqrt Sales is explained by the independent variables YrsExperience , MktPotential , and MktShare ? 81.1% 10)What are the null and alternative hypotheses for the test of the significance of the independent variable MktPotential ( X 2) in the linear regression model? H0: β2 = 0 vs. Ha: β2 = 0 ̸ 11) The value of the total variation is 4.1646 12)The value of the F -statistic is B) 40.10 13)Predict the value of the Sales for YrsExperience= MktPotential=MktShare =0. A) 6.76 Approximately 45. 14. Suppose you are testing H0: β1 ≥ 0.03 vs. Ha: β1 < 0.03. What should be your decision? Reject H0 at the 0.01 level but not at the 0.005 level 15)To which has the following categories: less than high school, high school graduate, some college, bachelor’s degree, master’s degree, and Ph.D. Five more independent variables will be included 16. Suppose we have a list of ordered pairs (X,Y). Suppose SD(X) > 0, SD(Y) > 0, and rXY > 0. Which of the following statements, if any, is/are true?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}