Wesley thinks his heartrate will increase as he increases his running speed. to see if this relationship exists, he records eight different speeds and models it with a scatterplot and regression output. regression statistics multiple r 95.70928% r square 91.60266% adjusted r square 90.20310% standard error 6.513645838 observations 8 df ss ms f regression 1 2,776.934507 2,776.934507 65.45116 residual 6 254.5654926 42.4275821 total 7 3031.5 coefficients standard error t stat p-value intercept 63.06927886 5.643282415 11.17599195 3.06e-05 speed 18.57636597 2.296159651 8.090189183 0.000191 part a: write the equation of the regression line using the regression output. (2 points)
a. y = 63.07x + 18.58
b. y = 18.58x + 63.07
c. y = 18.58x - 63.07
d. y = 63.07x - 18.58
part b: what do the slope and intercept parameters mean using the context of the problem? (4 points)
a. The slope represents the increase in heart rate per unit increase in speed, and the intercept represents the initial heart rate when speed is zero.
b. The slope represents the initial heart rate when speed is zero, and the intercept represents the increase in heart rate per unit increase in speed.
c. The slope represents the increase in speed per unit increase in heart rate, and the intercept represents the initial speed when heart rate is zero.
d. The slope represents the initial speed when heart rate is zero, and the intercept represents the increase in speed per unit increase in heart rate.
part c: compute the margin of error that Wesley should use if he wants to provide a 98% confidence interval for the slope. assume that conditions for inference are satisfied.
a. ± 0.8
b. ± 1.96
c. ± 2.576
d. ± 2.33