A company conducts a survey to investigate the relationship between the monthly salary (X) and the amount of money spent on traveling in a year (Y). The results of 10 participants are recorded in the...

A company conducts a survey to investigate the relationship between the monthly salary (X) and the amount of money spent on traveling in a year (Y). The results of 10 participants are recorded in the table below:

(a) Calculate the coefficient of correlation of the above data.
(b) Comment on the relationship between the monthly salary and the amount of money spent on traveling in a year by referring to your answer in part (a).
(c) Find the values of a and b in the regression line y = a + bx of the above data.
(d) Interpret the value of b in the regression line in part (c).
(e) Use the regression line in part (c) to estimate the amount of money spends on traveling in a year of a person whose monthly salary is $10,000 per month.
(f) Comment on the reliability of the estimation in part (e) with reason.