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Bivariate Data, SM-Bank 008 MC

A line of best fit has been fitted to the scatterplot above to enable distance, in kilometres, to be predicted from time, in minutes.

The equation of this line is closest to

  1. distance `= 3.5 + 1.6 ×`time
  2. time `= 3.5 + 1.6 ×`distance
  3. distance `= 1.6 + 3.5 ×`time
  4. time `= 1.8 + 3.5 ×`distance
Show Answers Only

`A`

Show Worked Solution

`text{Line passes through  (0, 3.5) and (50, 82)`

\(\text{Gradient}\ = \dfrac{y_2-y_1}{x_2-x_1} \approx \dfrac{82-3.5}{50-0} \approx 1.57 \)
 

`text{Distance is the dependent variable}\ (y)\ \text{and the}`

`y text(-intercept is approximately 3.5.)`

`=> A`

Filed Under: Bivariate Data Tagged With: num-title-ct-coreb, smc-5022-28-LOBF equations

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