A health economist is investigating whether there is any relationship between people's age and their medical expenses. He gathered data concerning the age and average daily medical expenses of a random sample of 20 Australians during the previous 12-month period. The data are shown below.

To answer the following questions, you may use these results:

(i) Determine the equation of the regression line to predict the daily medical expense by a person's age.

(ii) Find the coefficient of determination.

(iii) Can we conclude at the 5% significance level that higher ages result in higher daily medical expenses?

Person x-Age y-Daily Expense ($) Person x-Age y- Daily Expense ($) 1 24 11 41 2 25 3 52 4 27 5 6 7 8 96 10 28 48 29 30 61 31 16.94 9.51 35.64 17.84 16.78 22.31 22.61 19.31 40.86 23.43 12 13 14 15 16 17 18 19 20 31 62 32 33 53 33 24 34 44 26.23 22.43 48.35 23.48 23.56 33.14 13.15 11.53 22.15 37.89 x=37.10, y = 24.36, SS=2781.80, SS, 1948.13, SS=2085.53, and = SSE= 384.60