Research was conducted on the number of miles people trained to
run a 5K race and the time they took to run the race. The
researcher recorded the number of miles run during training (total
in a 1 month period) and the time to complete the 5K race. The
results are below.
Use technology to make a scatterplot and answer the
questions
below.
a. Give the correlation coefficient. (4 decimal places)
rr =
b. Give the equation of the regression line. Round the values to 4
decimal places.
ˆyy^ = xx +
c. Interpret the y-intercept in the context of the data.
(Explain it's meaning including the value, units and whether it
makes sense in this context)
d. Interpret the slope in the context of the data.
(Explain it's meaning including the value and units)
e. Predict the time to run the 5K if someone trained 39 miles (to 3
decimal places).
ˆyy^ =
f. Give the residual for 39 miles trained (to 3 decimal
places).
Residual=
- Research Was Conducted On The Number Of Miles People Trained To Run A 5k Race And The Time They Took To Run The Race Th 1 (155.92 KiB) Viewed 67 times
Research was conducted on the number of miles people trained to run a 5K race and the time they took to run the race. The researcher recorded the number of miles run during training (total in a 1 month period) and the time to complete the 5K race. The results are below. Use technology to make a scatterplot and answer the
questions below. Miles Trained in 1 Month 42 18 39 24 47 57 5K Race Time (Minutes) 21.3 35.4 37.9 26 25.4 30.7 a. Give the correlation coefficient. (4 decimal places) r = b. Give the equation of the regression line. Round the values to 4 decimal places. ŷ = + C. Interpret the y-intercept in the context of the data. (Explain it's meaning including the value, units and whether it makes sense in this context) d. Interpret the slope in the context of the data. (Explain it's meaning including the value and units) e. Predict the time to run the 5K if someone trained 39 miles (to 3 decimal places). ĝ = f. Give the residual for 39 miles trained (to 3 decimal places). Residual=