The following data give percentage of women working infive companies(x) in the retail and trade industry. The percentage of management jobs (y)heldbywomenineachcompanyisalsoshown.x=%Working67 45 73 54 61y=%Management49 21 65 47 33Answer a) and c)-f) by doing your own calculations without using Minitab.Show these calculations in the submitted assignment.a)Theleastsquareslineforthedataintheabovetablehasaslopee?1=1.3.What is the y-intercepte?0of that line? (3)b) Interpret coefficientse?0ande?1.(2)c)Findthefivefitted values andfive residuals. What is the sum of theresiduals? (3)d)Computes, the standard error of regression. What is the interpreta-tion ofsand what doessestimate? (3)e)Computesyand interpret it. Compareswithsy.What do you seefrom this comparison? (3)f) In general, what is the approximate percentage of data points thatshould lie withins(2s) of the least squares line? In this exercise, how manydata points lie withins(2s) of the least squares line? (3)Problem 2 (4)MBS, Ex 11.82 on page 666Spreading rate of spilled liquidThe data for this problem is in the attachedfile LSPILL.1Problem 3 (11)Financial institutions charge, in general, different interest rates on theirloans. Afinancial analyst was interested in the relationship betweenYandX,whereY=the default rate per 1000 loans (i. e. the number of loansthat default per 1000 loans)X=the interest rate (%) on a loan.She collected data on a random sample offinancial institutions, that is,for each institution in the sample she recorded the interest rate charged bythat institution and the number of defaults per 1000 loans given by thatinstitution. Answer the following questions using the Minitab output on thenext page.a)Interpret the regression coefficients in the estimated model. (2)b) Is there a statistically significant linear relationship between Defaultrate and Interest rate? Test at?=0.01(StateH0andH1,the rejectionrule of the test and your conclusion.) (3)c) What proportion of variation inYis explained by the model? Whatis the sample correlation coefficient between Y and X? (2)d)A banker claims that for every 1 percentage increase inInterest ratethe expected change inDefault rateis 7 loans. Based on the estimatedmodel can you reject his claim? (Answer by constructing an appropriate95% confidence interval or by using a hypothesis with the significance level?=0.05).(3)e) Estimate the expected default rate on loans offinancial institutions,which charge interest rate of 9%. Is this a valid estimate? Explain.

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