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8. A residual is the deviation of a point from the point of averages. 9. If r 0,

ID: 2907445 • Letter: 8

Question

8. A residual is the deviation of a point from the point of averages. 9. If r 0, then you can conclude that there is no relationship between xand y It is common to use a residual plot based on plotting the residuals versus x. 11. When fitting a line to a bivariate data set, y is called the dependent variable. 12. The coefficient of determination, r2, measures the proportion of the variability in ythat can be explained by a linear relationship between xand y. 13. When fitting a line to a bivariate data set, x, is called the explanatory variable. 14. In the equation y-a+bx, the value of a is called the slope of the line. 15. The slope of a line is the amount by which y increases when x increases by 1 unit. 16. The least squares line is the line that minimizes the sum of the squared deviations about the line. Speed Limit 5 50 45 40 302 Average # of accidents (weekly) y 28 25 20 17 11 6 and re .876 -17. Given l e can interpret r in context by saying "There is a strong, positive, linear causation between eed limit and average number of accidents per week. 18. The residual is found by computing y-y

Explanation / Answer

Solution8:

TRUE

residaul=observed-predicted value

=y- y^

Solution9:

r=0 no relation r=-1 negative relation

r=+1 positive relation

TRUE

Solution10:

residual plot is graph that shows residuals on vertical axis and independent variable on the horizontal axis.

TRUE

Solution11:

scatter p lot is plot of y on x

y is dependent variable

x is independent variable.

TRUE

Solution12:

r 2 is proportion of variance in y ,which is explained by x.

TRUE

Solution13:

scatter p lot is plot of y on x

y is dependent variable or response variable

x is independent variable or explanatory variable

TRUE

Solution

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