4/21/2016 Chapter 9 Test Maximum weight, X 170 180 150 210 155 190 190 160 190 1
ID: 3158107 • Letter: 4
Question
4/21/2016 Chapter 9 Test Maximum weight, X 170 180 150 210 155 190 190 160 190 175 155 170 Time, y 1.81 2.05 1.44 2.05 1.63 1.68 1.88 1.59 1.62 1.98 1.89 6. The money raised and spent (both in millions of dollars) by all congressional campaigns for 8 recent 2-year periods are shown in the table. The equation of the regression line is y = 0.926x + 36.732. Complete parts a and b Money raised, x Money spent, y (a) Find the coefficient of determination and interpret the result. 460.7 657.3 426.7696.8 742.6 782.21043.9 951.4 1219.3 735.31000.9 937.1 1151.2 732.9 792.6 752.9 (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? 0 A. The coefficient of determination is the fraction of the variation in money spent that can be explained by the variation in money raised. The remaining fraction of the variation is unexplained and is due to other factors or to sampling error O B. The coefficient of determination is the fraction of the variation in money spent that is unexplained and is due to other factors or sampling emror. The remaining fraction of the variation is explained by the variation in money raised (b) Find the standard error of estimate se and interpret the result (Round to three decimal places as needed.) How can the standard error of estimate be interpreted? 0 A. The standard error of estimate of the money spent for a specific amount of money raised is about se O B. The standard error of estimate of the money raised for a specific amount of money spent is about se million dollars million dollars https:llxlitem prod.pearsoncmg.com/apiM1/print/math 7/28Explanation / Answer
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Predictor Coef SE Coef T P
Constant 36.64 44.49 0.82 0.442
x 0.92626 0.05180 17.88 0.000
S = 32.3977 R-Sq = 98.2% R-Sq(adj) = 97.9%
a) The coefficient of determinat is equal to R-Sq/100=0.982. It explained that 98.2% of total variation in y is explained by x.
Q. How can the coefficient of determinat be intepreted?
Answer is (A).
7. ###########
a) The scatter plot of the speed and altitude is (B).
b) The correlation coefficient of speed and altitude is -0972.
c) Conclusion: The correlation between speed (Y) and altitude (X) is -0.972. It indicate that the variable Y and X have highly (strong) negative association, this means that increased the variable Y the variable X is decrease. They are inversely relation.
8 #######
They have strong negative relation.
8 Answer is (D). Two variabel have a bivariate noraml distribution when the values of x and y are both normally distributed.
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