please answer in details can use ti83/84 or stat crunch calculator with commands written

7. The table below shows the ages (in years) and salaries (in thousands) of a random sample of engineers at a company. Is there a linear relationship between age and salary? (14 points] Age 25 34 29 30 42 38 49 52 35 40 Calculator Output Salary 57 61 60 58 88 67 89 85 70 75 a = 21.05175 b 1.33551 a) State the null and alternative hypothesis r = 0.83984 b) State the value of the correlation coefficient r = 0.916428 () Find the critical correlation coefficient d) Is there significant linear correlation? Justify p 1.927465 e -4 el State your conclusion in context of the problem f) Write the linear regression equation for this problem (2 decimal places] g) Can we conclude that age causes an increase in salary? Why or why not