Two hundred and eighty boys completed a test that measures the distance that the subject can...

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Two hundred and eighty boys completed a test that measures thedistance that the subject can walk on a flat, hard surface in 6minutes. For each age group shown in the table, the median distancewalked by the boys in that age group is also given. Age GroupRepresentative Age (Midpoint of Age Group) Median Six-Minute WalkDistance (meters) 3–5 4 544.3 6–8 7 584.0 9–11 10 667.3 12–15 13.5701.1 16–18 17 727.6 This experiment also reported the 6-minutewalk distances (in meters) for 248 girls age 3 to 18 years. Themedian 6-minute walk distances for girls for the five age groups,respectively, were 494.4 580.3 657.8 655.6 662.9.

Find the equation of the least-squares regression line thatdescribes the relationship between median distance walked in 6minutes and representative age for girls. (Round your values tothree decimal places.)

(d)

Compute the five residuals. (Round your answers to three decimalplaces.)

Representative
Age (x)
Residual (meters)
4
7
10
13.5
17

C)Find the equation of the least-squares regression line thatdescribes the relationship between median distance walked in 6minutes and representative age for girls. (Round your values tothree decimal places.)

Å· = ____ + (_____)x

The researchers decided to use a curve rather than a straightline to describe the relationship between median distance walked in6 minutes and age for girls. What aspect of the residual plotsupports this decision?

A.The decision to use a curve is supported by the clear negativelinear pattern in the residual plot.

B.The decision to use a curve is not supported by the residualplot as there are no unusual patterns.    

C. The decision to use a curve is supported by the clearpositive linear pattern in the residual plot.

D.The decision to use a curve is supported by the clear curvedpattern in the residual plot.

E.The decision to use a curve is supported by the outliers inthe residual plot.

Answer & Explanation Solved by verified expert
4.0 Ratings (722 Votes)
C Equation of regression line y a bxWe need to find the sums x y xy x2We have n 5 x    See Answer
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