Given information
Swim 
yards and the student’s heart rate (beats per minute) after swimming on a random sample of 
days:
Step-by-step explanation
The slope of a regression line 
represents rate of change in 
as 
changes. As is dependent on , the slope describes predicted values of given as . By using the ordinary least squares method, one of the most common linear regressions, slope, is found by calculating 
as covariance of and , divided by sum of squares (variance) of .
Slope must be calculated before the 
-intercept while using a linear regression, as the intercepts is calculated using the slope. Slope of a regression line is used with a t-statistic to test the significance of a linear relationship between 
and .
The intercept reflects the location where it intersects an axis. The slope and the intercept define the linear relationship between two variables, and can be used to estimate the average rate of change. The greater the magnitude of the slope, steeper the line is and the greater is the rate of change.
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Introductory Statistics
Solutions
Chapter
Section
- Problem 57a
- Problem 57c
- Problem 57d
- Problem 57e
- Problem 62
- Problem 63
- Problem 64
- Problem 65
- Problem 66
- Problem 67
- Problem 68
- Problem 69a
- Problem 69b
- Problem 69c
- Problem 69d
- Problem 69e
- Problem 69f
- Problem 69g
- Problem 70a
- Problem 70b
- Problem 70c
- Problem 70d
- Problem 70e
- Problem 70f
- Problem 70g
- Problem 70h
- Problem 70i
- Problem 70j
- Problem 70k
- Problem 71a
- Problem 71b
- Problem 71c
- Problem 71d
- Problem 71e
- Problem 71f
- Problem 71g
- Problem 71h
- Problem 72a
- Problem 72b
- Problem 72c
- Problem 72d
- Problem 72e
- Problem 72f
- Problem 72g
- Problem 72h
- Problem 72i
- Problem 72j
- Problem 73a
- Problem 73b
- Problem 73c
- Problem 73d
- Problem 73e
- Problem 73f
- Problem 73g
- Problem 73h
- Problem 74a
- Problem 74b
- Problem 74c
- Problem 74d
- Problem 74e
- Problem 74f
- Problem 74g
- Problem 74h
- Problem 74i
- Problem 74j
- Problem 75a
- Problem 75b
- Problem 75c
- Problem 75d
- Problem 75e
- Problem 75f
- Problem 76a
- Problem 76b
- Problem 76c
- Problem 76d
- Problem 76e
- Problem 76f
- Problem 77a
- Problem 77b
- Problem 77c
- Problem 77d
- Problem 77e
- Problem 78a
- Problem 78b
- Problem 78ci
- Problem 78cii
- Problem 78ciii
- Problem 78civ
- Problem 78d
- Problem 79
- Problem 80c
- Problem 83a
- Problem 83b
- Problem 83c
- Problem 83d
- Problem 83e
- Problem 83f
- Problem 83g
- Problem 83h
- Problem 83i
- Problem 83j
- Problem 83k