"The correlation Analysis: The correlation value of the above provided data set is .77653 whichreveals highly correlation between variables. The value of the correlation should vary within +1to -1. The value here shows that there is a positive relationship exist between the GFCF and theeconomic growth rate of the country Japan. Hence the regression analysis will show theSignificance of the study.Regression Analysis: The following analysis shows that the relationship exists. The regressionresult is significant because the P value is less than 0.05. So there are a positive relationship existin the variables in Japan.SUMMARY OUTPUT Regression Statistics Multiple R 0.77653 R Square 0.602998 Adjusted RSquare 0.569915 Standard Error 1.520959 Observations 14 ANOVA Significancedf SS MS F F Regression 1 42.16382 42.16382 18.22657 0.00109 Residual 12 27.7598 2.313317Total 13 69.92362 Standard Upper Lower UpperCoefficients Error t Stat P-value Lower 95% 95% 95.0% 95.0%Intercept 1.288806 0.414709 3.107735 0.009059 0.385232 2.192379 0.385232 2.192379Capital 0.487292 0.11414 4.269259 0.00109 0.238603 0.735981 0.238603 0.735981RESIDUAL OUTPUT Predicted StandardObservation GDP Residuals Residuals 1 1.618324 0.639172 0.437402 2 0.263975 0.091487 0.0626073 -1.10006 1.389611 0.9509484 1.375206 0.309906 0.2120775 1.481284 0.879446 0.6018286 1.700841 -0.39811 -0.272447 2.023982 -0.33108 -0.226578 1.441894 0.750292 0.5134459 -0.7125 -0.32914 -0.2252410 -3.87206 -1.65491 -1.132511 1.170703 3.481327 2.38236512 1.962661 -2.41539 -1.6529113 2.949829 -1.19614 -0.8185514 2.829843 -1.21648 -0.83247UK: The correlation analysis of Japan is based on the data set of the 15 years. The analysis hasbeen done by using the software, Ms Excel.CountryName United Kingdom United KingdomIndicator GDP growth (annual Gross fixed capital formation (annual %Name %) growth)2000 3.768865 3.4290732001 2.664535 -1.348572002 2.452282 2.4791032003 4.300444 3.0692972004 2.453889 3.231662005 2.806548 1.6460022006 3.042098 3.2725672007 2.555635 5.2562492008 -0.33204 -4.695672009 -4.31062 -14.38792010 1.911378 5.925062011 1.645121 2.3220612012 0.659035 0.735492013 1.664699 3.3723182014 2.553033 6.815517(The World Bank, 2015)The correlation analysis: the correlation value of the above data set is .856124. The value showsthat the data are highly correlated. From the formula and method the correlation value should liewithin +1 to -1. Here the value of the correlation analysis shows that the gross fixed capitalformation and the economic growth rate of the country United Kingdom is positively related.However the significance of the result will be analysed from the Regression analysis.The Regression Analysis: The relationship also exist in UK because the P value for the UK dataset is also less than 0.05. The regression result is significant for UK. "