Compute the least squares regression line On average how man

Compute the least squares regression line.

On average, how many additional feet are added to the braking distance for each additional 100 pounds of weight? Explain.

Estimate the average braking distance of all cars weighing 3,000 pounds.

Solution

We see that x here is in hundreds of pounds.

a)

Using technology, we get                  
                  
slope =    1.989690722              
intercept =    66.34020619              
                  
Thus, the regression line is                  
                  
y^ =    1.989690722   x   +   66.34020619   [ANSWER]

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b)

This is the significance of the slope here. It the the additional braking distance for every 100 pounds added.

There will be an additional of 1.989690722 feet. [ANSWER]

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c)

Thus, if x =    30 (for 3000 lbs)
      
Then      
      
y^ =    126.0309278   [ANSWER]