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10.3.23(a) The slope b and intercept a of a least squares line can be calculated from the means and standard deviations of the two variables,

10.3.23(a)

The slope b and intercept a of a least squares line can be calculated from the means and standard deviations of the two variables, along with the correlation coefficient, as follows:

b = r *( sy/sx)and a = y bx. These summary statistics for the day hikes described in the previous two exercises are:

Mean SD Correlation with time

Distance 3.097 1.880 0.913

Elevation gain 319.2 337.3 0.339

Time 108.73 59.10 1.000

Use these statistics to determine the slope b and intercept a for predicting time from distance. Round your answers to 2 decimal places, e.g. 125.62.

Slope =

Intercept =

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