I hope you can show me the solution of all the 6 questions as soon as possible

thank you

The following table shows the income (revenues) for 6 consecutive years: Year: ti 2013-(1) 2014-(2) 2015-(3) 2016-(4) 2017-(5) 2018-(6) Income :X 4200 4600 5000 6000 6750 8550 Random: Ei 60 19 -132 57 -93 95 1) Calculate the correlation coefficient between the year and the income and do the test in order to verify the significance (#0) of the correlation coefficient at a = 10%. 2) Suppose a = 0.86 and ao = 1293. Noted that & is an observed random variable normally distributed. Calculate the estimations , and . 3) Does the test show if a = 0 is accepted or not? Take a risk a = 2%. 4) Does the test show if a > 0.85 is accepted or not? Take a risk a = 0.01. 5) Assume that the Student ratio is 9.8; calculate the coefficient of determination and applying the Fisher test in order to determine the global significance of the regression. Take a risk = 5%. 6) Suppose the income is 11111 for the 9th year. Find a estimation of the consumption y, and a confidence interval for y,. Take a risk a = 0.05. The following table shows the income (revenues) for 6 consecutive years: Year: ti 2013-(1) 2014-(2) 2015-(3) 2016-(4) 2017-(5) 2018-(6) Income :X 4200 4600 5000 6000 6750 8550 Random: Ei 60 19 -132 57 -93 95 1) Calculate the correlation coefficient between the year and the income and do the test in order to verify the significance (#0) of the correlation coefficient at a = 10%. 2) Suppose a = 0.86 and ao = 1293. Noted that & is an observed random variable normally distributed. Calculate the estimations , and . 3) Does the test show if a = 0 is accepted or not? Take a risk a = 2%. 4) Does the test show if a > 0.85 is accepted or not? Take a risk a = 0.01. 5) Assume that the Student ratio is 9.8; calculate the coefficient of determination and applying the Fisher test in order to determine the global significance of the regression. Take a risk = 5%. 6) Suppose the income is 11111 for the 9th year. Find a estimation of the consumption y, and a confidence interval for y,. Take a risk a = 0.05