The California Department of Education makes available the academic performance index (API) for each school. The output that is provided models the 2012 API for a random sample of 100 high schools on the basis of the percentage of students receiving free or reduced-price meals. (Only schools that had at least one student receiving such meals were included.) Assume that all conditions for the linear regression model hold.
a. Write the equation of the regression line for predicting API score on the basis of the percent of the students who receive free or reduced-price meals.
b. Is there an association (using a 5% significance level) between the percent receiving free or reduced-price meals and the API score? Explain. If so, interpret the slope.

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Options (1 ot 2) Simple linear Dependent Variable: AP Independent Variable: meals API-859-16797-2-8804804 meals Sampie size: 80 R (correlation coefficient) -0.5863981 -sq0.34386273 Estimate of error standard deviation: 106.1268 Parameter estimates Parameter Estimate Std. Err. Alternative DF T-stat P-Value Intercept 859.16797 29.644991 Slope2.8804904 0.45052866 078 28.981893 0.000 0 78-6.3935564 <0.0001 Analysis of variance table for regression modeli Source DF SS MS F-stat P-value Model 1 460399.85 460399.85 40.877563 0.000 Error 78 B7B505.1 11262.899 Total 79 1338905.9 Predicted values: x value Pred. Y s.e.( Pred. y) 95% C.1. for mean 95% P.1. for new s0 715.14395 12.740485 (689.77959, 740.50831) (502.34467, 927.94323