# Mathematics Tutors

 Subject Mathematics Due By (Pacific Time) 12/04/2016 09:00 pm

1) Calculate the Pearson correlation coefficient for these two variables. Does its value support the hypothesized relationship?

 EDUC CHILDS (X -) (X -)2 (Y -) (Y -) 2 (X -) (Y -) 16 0 12 1 12 3 6 6 14 2 14 2 16 2 12 2 17 2 12 3 14 4 13 0 12 1 12 2 12 3 11 1 12 2 11 2 12 0 12 2 12 3 12 4 12 1 14 0 12 3 ΣX=314 ΣY=51 Σ= Σ= Σ= Σ= Σ= Mean X = Mean Y = Variance (Y)  =   Standard deviation (Y) = Variance (X)  =   Standard deviation (X) = Covariance (X,Y) = *Answers may differ slightly due to rounding. Please review Table 13.4 on page 426 for details of calculations.

2.      2)  Calculate the least squares regression equation using education as a predictor variable. What is the value of the slope, b (5 pts)? What is the value of the intercept, a ?

4.

5.      3) In this chapter, we used Table 13.4 to illustrate how to calculate the slope and intercept in the regression table. Using table 13.4 as a model, create a similar table using the data below for GNP per capita and the percentage willing to pay higher taxes (10 pts).

 GNP per Capita (X) % Willing to Pay Higher Taxes (Y) (X -) (X -)2 (Y -) (Y -) 2 (X -) (Y -) 19.71 24.0 4.99 29.1 24.28 12.0 18.71 34.3 32.35 37.2 2.42 17.3 3.84 34.7 24.78 51.9 14.60 31.1 34.31 22.8 10.67 17.1 2.66 29.9 14.10 22.2 25.58 19.5 39.98 33.5 29.24 31.6 ΣX=302.2 ΣY=448.2 ΣX= Σ= Σ= Σ= Σ= Mean X = Mean Y = Variance (Y)  =   Standard deviation (Y) = Variance (X)  =   Standard deviation (Y) = Covariance (X,Y) =

6.  4) From the table that you created in #5, calculate a, b, and write out the regression equation (i.e., prediction equation)

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