Question

a) A descriptive statistics table and correlation matrix for manufacturing growth and the predictor growth variables. Note the simple relationships between manufacturing growth and the predictor growth variables. In addition, discuss the importance of multicollinearity and use the VIF to test for multicollinearity.

b. A multiple regression analysis of manufacturing growth on the predictor growth variables.

Remove any nonsignificant predictor variables, one at a time, from the regression model. Indicate

your best final model and discuss.

(ii). Interpret the meaning of the slopes in this equation.

(iii). Perform a residual analysis of the results and determine whether the regression assumptions

are valid.

(iv). Determine whether there is a significant relationship between manufacturing growth and the

two independent variables (agricultural growth and exports growth) at the 0.05 level of significance.

(v). Determine the p-value in the residual (iii) and interpret its meaning.

(vi). Interpret the meaning of the coefficient of multiple determination in this problem.

(vii). Determine the adjusted R2

(viii). At the 0.05 level of significance, determine whether each independent variable makes a

significant contribution to the regression model. Indicate the most appropriate regression model for

this set of data.

(ix). Determine the p-values in (i) and interpret their meaning

(x). Construct a 95% confidence interval estimate of the population slope between manufacturing growth and export growth.

c. State the conclusions from your analysis and discuss the conditional importance of the variables in

terms of their relationship to manufacturing growth.

A student takes a 20-question, True/False exam and guesses

on each question. Find the probability of passing if the lowest

grade is 15 correct out of 20.

4 A new surgical procedure is said to be successful 80% of times.

Suppose the operation is performed five times, and the results

are assumed to be independent of one another. What are the

probabilities of these events

a All five operators are successful.

b Exactly four are successful.

c Less than two are successful.

d More than 3 are successful

e Find the variance and the standard deviation

5 A study found that 1% of social security recipients are too

young to vote, if 800 social security recipients are randomly

selected. Find the mean, variance, and the standard deviation

of the number of recipients who are too young to vote.

6 If 3% of calculators are defective, find the mean, variance, and

standard deviation of a lot of 300 calculators.

7 Thirty-two percent of adult Internet users have purchased

products or services online. For a random sample of 200 adult

Internet users, find the mean, variance, and standard deviation

for the number who have purchased good, or services online

5.1.7 An engineering statistics class has 40 students; 60% are electrical engineering majors, 10% are industrial engineering majors, and 30% are mechanical engineering majors. A sample of four students is selected randomly without replacement for a project team. Let X and Y denote the number of industrial and mechanical engineering majors in the sample, respectively. Determine the following: a. fxy (x, y) b. fy(x) C. E(X)Content attribution QUESTION 41 . 1 POINT Government statisticians at the calculate the Consumer Price Index. Select the correct answer below: O Federal Reserve International Monetary Fund O U.S. Bureau of Labor Statistics O U.S. Treasury Department FEEDBACK Content attribution QUESTION 42 . 1 POINTCAMR 103 a. Repeat problem 5 if a statistical interchangeability is used. 405 #-002 (Diam ) 500 1 092 (Diam.1 EDO + 000 2501 .001 (Diam.) 2.000#.003 .245 + .001 (Diam.) Reference surface Figure 20. Sketch of three components prior to assembly.if statistical intermageability is used ..... 3. Figure 20 shows three parts. For proper assembly, the pins must fit into the mating holes, and the bottom surfaces of parts A and B must remain in full contact with the reference surface. For 100 percent interchangeability, determine what tolerance X should be applied to the two-inch dimension. using is 6. Pope statistical interchangeability is used. .495 1 .002 (Diam.) .500 + .002 (Diam.) C 21x .250 1.001 (Diam.) 4.000 +.003 .245 +.001 (Diam.) -2.000 1.003 B Reference surface Figure 20. Sketch of three components prior to assembly