Question

In: Statistics and Probability

On your scratch paper, write the formulas for the slope and the y-intercept. Using the values...

On your scratch paper, write the formulas for the slope and the y-intercept. Using the values given in the summary table, record how to calculate by hand the slope and y-intercept of the lime. Show all steps. State the final results as the equation of the line. Summary Statistics r = 0.772724. mean length = 3517.94 standard deviation for length = 1623.46 mean duration = 126.4 standard deviation for duration = 43.6616 Within reasonable round off error, your equation should be the same as the one gotten in your software?

Solutions

Expert Solution

Assuming that

y=Duration

x=Length

The regression line that we want to estimate is

We know the following

The estimate of the slope is

The estimate of the intercept is

ans: The equation calculated by hand is

or

Alternatively:

Assuming that

X=Duration

Y=Length

The regression line that we want to estimate is

We know the following

The estimate of the slope is

The estimate of the intercept is

ans: The equation calculated by hand is

or


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