The Coast Starlight Amtrak train runs between Seattle and Los Angeles.  The table below contains all distances between stops and the typical travel time for each of those distances.   DISTANCE BETWEEN STOPS (miles) TIME TO TRAVEL THIS DISTANCE (minutes) 10 52 32 115 40 55 50 61 49 58 56 32 54 31 61 27 84 176 91 322 102 173 112 124 194 64 235 254 246 372 356 195 What is the equation for the best fit line? What is the meaning of the slope in this context? What is the R2R2for the regression line? The distance between LA and Santa Barbara is 102 miles.  Use the linear model to predict how long this trip will take.  If the actual trip takes 173 minutes, what is the associated residual?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The Coast Starlight Amtrak train runs between Seattle and Los Angeles.  The table below contains all distances between stops and the typical travel time for each of those distances.

 

DISTANCE BETWEEN STOPS (miles) TIME TO TRAVEL THIS DISTANCE (minutes)
10 52
32 115
40 55
50 61
49 58
56 32
54 31
61 27
84 176
91 322
102 173
112 124
194 64
235 254
246 372
356 195

What is the equation for the best fit line? What is the meaning of the slope in this context?

What is the R2R2for the regression line?

The distance between LA and Santa Barbara is 102 miles.  Use the linear model to predict how long this trip will take.  If the actual trip takes 173 minutes, what is the associated residual?

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