Statistics Through Applications
Statistics Through Applications
2nd Edition
ISBN: 9781429219747
Author: Daren S. Starnes, David Moore, Dan Yates
Publisher: Macmillan Higher Education
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Chapter 4.2, Problem 4.28E

(a)

To determine

To show that the equation of the least square is y=1023x using the graph and some algebra.

(a)

Expert Solution
Check Mark

Explanation of Solution

The equation is of the form y=ax+b with a the slope and the b

  y -intercept.

The y -intercept is 10 and thus b=10 .

We note that (3,8) is a point on the line:

  8=a(3)+10

Subtract 10 from each side:

  2=3a

Thus, a=23

Thus the equation then becomes:

  y=1023x

(b)

To determine

To find out the slope of the line and explain what is this setting.

(b)

Expert Solution
Check Mark

Answer to Problem 4.28E

The slope of the coefficient is 23 .

Explanation of Solution

The slope of the coefficientis 23 .

This means that if three more pizzas were eaten, then about two laps less were run.

(c)

To determine

To find out the y -intercept of the line and explain what is this setting.

(c)

Expert Solution
Check Mark

Answer to Problem 4.28E

The y -intercept is the constant of the equation i.e. 10 .

Explanation of Solution

The y -intercept is the constant of the equation i.e. 10 .

This means that if no pizza slices were consumed, then about 10 laps were run.

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