Respuesta :
Using technology, the least square regression line equation which models the data is : y = -0.3x + 35.
b.) The slope of −0.3 means that the birth rate is decreasing by about 3 births per 1000 people every 10 years. The y-intercept of 35 means that in 1960 there were 35 births per thousand people.
Given the data :
- X : __ 0 ___ 10 ____ 20 ___ 30 ___ 40 ___ 50
- Y:__35.4 __33.6 ___28.3 __27.0 __22.4 _ 20.0
Using either a linear regression calculator or excel :
- y = -0.3x + 35
- Slope, b = - 0.3
- Intercept, c = 35
The value of the slope, gives the rate of change in y per unit increase in x.
- Hence, the slope value of - 0.3 means that birth rate is decreasing by about 30 births per 1000 people.
The intercept is the value of y when x = 0 ; This means that the number of births in 1960(beginning of the data collection), there were 35 births per thousand people.
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