Bailey thinks her heartrate will increase as she increases her biking speed. To see if this relationship exists, she records seven different speeds and models it with a scatterplot and regression output.Pulse, beats per minute1301201101009080707 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13Speed, miles per hourRegression StatisticsMultiple RR SquareAdjusted R SquareStandard ErrorObservations97.50557%95.07336%94.08803%3.8848948797 SSMSFRegression 1 1,456.252245 1,456.252245 96.48906Residual 5 75.46204112 15.092408226 1531.714286TotaldfCoefficients Standard Error t Statp-ValueIntercept 13.55330396 8.879163768 1.526416712 0.187432Speed 8.651248164 0.880723811 9.822884377 0.000186Part A: Write the equation of the regression line using the regression output.Part B: What do the slope and intercept parameters mean using the context of the problem?Part C: Compute the margin of error that Bailey should use if she wants to provide a 96% confidence interval for the slope. Assume that conditions for inference are satisfied.

n= 7 observationk= 1 independent variable Independent variable is Speed, miles per hour.Dependent…

df Regression 1 Residual 5 75.46204112 15.09240822 Total 6 1531.714286 SS MS F 1,456.252245 1,456.252245 96.48906 Coefficients Standard Error t Stat p-Value Intercept 13.55330396 8.879163768 1.526416712 0.187432 Speed 8.651248164 0.880723811 9.822884377 0.000186 Part A: Write the equation of the regression line using the regression output. Part B: What do the slope and intercept parameters mean using the context of the problem? Part C: Compute the margin of error that Bailey should use if she wants to provide a 96% confidence interval for the slope. Assume that conditions for inference are satisfied.