1. A linear model for the data in the table is shown in the scatter plot 1 12 2
ID: 3149022 • Letter: 1
Question
1. A linear model for the data in the table is shown in the scatter plot 1 12 2 12 3 9 4 10 5 6 14 13 12 10 0 (a) Which two points should you use to find the equation of the model? What is the slope of the linear model? Show your work (b) What is the equation of the linear model in point-slope form? (c) What is the slope-intercept form of the equation you wrote in Part (c)? Show your work (d) What is the equation for the least squares regression line? Round the values for a and to three decimal places (Hint Use a calculator or spreadsheet program )Explanation / Answer
a) Take the (X,Y) coordinates at the end-points of the line- (0,12.5) and (10.5,3)
Slope = (3-12.5)/(10.5-0)= -0.904
b) Equation of Linear Model=> y-12.5=[(3-12.5)/(10.5-0)]*(x-0)
c) Equation in slope intercept form=
y=12.5-0.904x
d) OLS line equation is y=12.5-0.904x
a=intercept=12.5
b=slope=-0.904
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