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using the regression calculator. rita is starting a running program. th…

Question

using the regression calculator. rita is starting a running program. the table shows the total number of miles she runs in different weeks. what is the equation of the line of best fit for the data? state each number to the thousandths place. y≈ x +

Explanation:

Step1: List data points

(x,y): (1,5),(2,8),(4,13),(6,15),(8,19),(10,20)

Step2: Calculate sums

n=6, Σx=31, Σy=80, Σxy=515, Σx²=221

Step3: Compute slope m

m=(6515-3180)/(6*221-31²)=610/365≈1.671

Step4: Compute intercept b

b=(80-1.671*31)/6≈4.699

Answer:

y = 1.671x + 4.699