Question

The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Use the regression equation to predict the life span, y, for a gestation period of 6 months, x. Assume the variables x and y have a significant correlation. Gestation, x 8 2.1 1.3 1 11.5 5.3 3.8 24.3 Life span, y 30 12 6 3 25 12 10 40

Answer 1

To predict the life span for a gestation period of 6 months, we can use the regression equation.

Step-by-step explanation:

To predict the life span for a gestation period of 6 months, we can use the regression equation. First, we need to find the equation of the line that best fits the given data. Using a graphing calculator or a statistical software, perform linear regression with the gestation periods as the independent variable (x) and the life spans as the dependent variable (y). The regression equation will be in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.

1. Using the given data points, perform the linear regression analysis.
2. Obtain the equation of the regression line in the form y = mx + b.
3. Substitute the value of x = 6 into the equation to predict the life span, y.

Answer 2

For a gestation period of 6 months, the life span is 15.

Step-by-step explanation:

Gestation(months) x 8 2.1 1.3 1 11.5 5.3 3.8 24.3

Life span (years) y 30 12 6 3 25 12 10 40

y =? x= 6 months

Assuming the variables x and y have a significant correlation

Graphing the data on a spreadsheet

Using the linear equation obtained

y = 1.5229*x + 6.3425

x=6

y = 1.5229*6 + 6.3425

y = 15. 5