SOLUTION: please i am still not understanding this can someone please help me out on how to work this problem. The data below are the gestation periods, in months, of randomly selected

Algebra ->  Probability-and-statistics -> SOLUTION: please i am still not understanding this can someone please help me out on how to work this problem. The data below are the gestation periods, in months, of randomly selected       Log On


   



Question 327867: please i am still not understanding this can someone please help me out on how to work this problem.

The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years.
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
a. Find the equation of the regression line for the given data. Round the line values to the nearest two decimal places. (4 points) Show your work.

b. Using the equation found in part a, predict the life span when the gestation is 10 months. Round to the nearest absence.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) Calculate the average of the x values=xave.
Calculate the average of the y values=yave.
.
.
.
Then for each point,
Calculate the square of the x deviation: %28x-xave%29%5E2
Calculate the square of the x deviation: %28x-xave%29%5E2
Calculate the product of x and y deviation: %28x-xave%29%2A%28y-yave%29
Sum each of those three as SSxx, SSyy, and SSxy respectively.
.
.
.
Calculate b1=SSxy%2FSSxx, this is the slope of the regression line.
Calculate b2=SSxy%2FSSyy.
r%5E2=b1%2Ab2
Calculate the intercept of the regression line using xave, yave, and b1
yave=b1%2Axave%2Ba
a=yave-b1%2Axave
The equation for the regression line is then
y=b1%2Ax%2Ba
EXCEL is great for this computation, you can also use the chart wizard to plot a scatterplot and add a trendline to your data.
.
.
.
xave=7.16
yave=17.25
SSxx=425.96+
SSyy=+1177.50
SSxy=648.68
b1=SSxy%2FSSxx=1.523
b2=SSxy%2FSSyy=0.551.
r%5E2=b1%2Ab2=0.839
a=yave-b1%2Axave=6.343
.
.
.
highlight%28Y=1.52X%2B6.34%29
.
.
.
b) Y=1.52%2810%29%2B6.34
Y=21.6years
I'm not sure what the nearest absence means.