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The table shows the world birth rates y (number of births per thousand people) in x years since 1960.a. Identify an equation that models the birth rate as a function of the number of years since 1960.y=1.1x+50y is equal to 1 point 1 x plus 50y=1.1x+35y is equal to 1 point 1 x plus 35y=−0.3x+35y is equal to negative 0 point 3 x plus 35y=−0.3x+50y is equal to negative 0 point 3 x plus 50Question 2b. Interpret the slope and the y-intercept of the line of fit.The slope of −0.3 means that the birth rate is decreasing by about 30 births per 1000 people every 10 years. The y-intercept of 50 means that in 2010 there will be 50 births per thousand people.The slope of , negative 0 point 3, means that the birth rate is decreasing by about 30 births per 1000 people every 10 years. The , y, -intercept of 50 means that in 2010 there will be 50 births per thousand people.The slope of 1.1 means that the birth rate is increasing by about 11 births per 1000 people every 10 years. The y-intercept of 35 means that in 1960 there were 35 births per thousand people.The slope of , 1 point 1, means that the birth rate is increasing by about 11 births per 1000 people every 10 years. The , y, -intercept of 35 means that in 1960 there were 35 births per thousand people.The slope of 1.1 means that the birth rate is decreasing by about 110 births per 1000 people every 10 years. The y-intercept of 50 means that in 2010 there will be 50 births per thousand people.The slope of , 1 point 1, means that the birth rate is decreasing by about 110 births per 1000 people every 10 years. The , y, -intercept of 50 means that in 2010 there will be 50 births per thousand people.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.

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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.

Learn more : https://brainly.com/question/25653997

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