Question

Table 1: Data from Selected US States, use table where directed Per Capita Personal Average Teacher Percent of Pop With State
6) Using the data from Table 1, determine if there is a relationship between Per Capita Personal Income and percentage of the
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Answer #1

Least square regression line: y = 0.0008x - 1.8165

The linear regression model describes the dependent variable with a straight line that is defined by the equation Y = a + b × X, where a is the y-intersect of the line, and b is its slope.

Intercept -1.8165
Slope Per capita Personal 0.0008

r-square: 0.85

R-squared denotes the positive linear relationship between the variables

Determine B is positive at 1 % significant level?

No , at 1% significant level , intercept is negative

Regression ? x Input Input Y Range: ок $B$1:$B$31 Cancel Input X Range: $A$1:$A$31 Help constant is Zero Labels Confidence Le

Summary output:

C D ELF G H J K L MN R BA/BS SUMMARY OUTPUT 19.5 y = 0.0008x - 1.8165 R2 = 0.8472 Regression Statistics Multiple R R Square A

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