The age and resting heart rate were measured for ten men, with the results shown in the table. A health researcher decided to develop a regression model in an attempt to predict the resting heart rate by the age. Age Heart rate 20 72 23 71 30 T3 37 T4 35 74 45 T3 51 T4 55 79 50 75 53 77 Compute the coefficient ofdetermination. S (round to 4 decimal places as needed]. Find the estimate of the standard error (s) about the regression line. 'Round to 3 decimal places)Find a 95 \"rt: confidence interval for {31. (Round to three decimal places as needed.) When the age increases by 1 year, we are 95% condent taht the estimated increase in the heart rate is between and . Estimate the average resting heart rate of all 40yearold men. {Round to 3 decimal placee} Find a 99% confidence interval for the mean resting heart rate for all 4-year-nld men: Find a 99% prediction interval for the resting heart rate for a 50-year-old man: ) (Round to 3 decimal places)