9) Mr. Math knows that the faster you run, the higher your heart rate will be. He wants to create a linear regression line for his data. He sets his treadmill to a speed (in mph) and then records his heart rate (bpm) after 30 seconds at that speed. The data is shown in the scatterplot and regression analysis below. Heart Rate (bpm) 155- 150- 145- 140- 135- 130- 125- 120- 115- 110- 105- 100- 95 5.5 Speed (mph) a) Write the equation of the least squares regression line. Predictor Constant Coeff StDev 60.05 5.872 Speed 12.35 0.382 s = 1.815 R-Sq99.2% b) Interpret the slope and y-intercept in the context of the problem. c) Mr. Math wants to provide a 98 percent confidence interval for the slope parameter. Compute this interval and interpret it in the context of the problem. Assume that conditions for inference are satisfied.