The foliowing scatterplot displays the World Bank's most recent data (as of 2019) on public spending on education (as a percentage of GDP) and literacy rate (percentage of the population who can read and write) for many countries. We will investigate the linear association between the two variables. 100 30 Literacy Rate ('56 of the population) 40 60 2 4 B 8 10 12 Public Spending on Education (96 of GDP) The correlation coefficient is r = 0.204. a) (6 pts) Comment on the linear association between public spending on education and literacy rate for these countries. Fitting a simple linear regression model to this dataset using R, the following results were obtained: Call: Irn(formula = Literacy "' Education) Residuals: Min 10 Median 30 Max 45.53 -12.43 7.96 14.39 21.62 Coefficients: Estimate Std. Error t value Prl>1t| ) (Intercept) 69.716 7.539 9.248 4e-14 **"' Education 2.977 1.631 1.825 0.0719 . Signif. codes: 0 "\"'*' 0.001 """" 0.01 '*' 0.05 '.' 0.1 \" 1 Residual standard error: 18.97 on 77 degrees of freedom Multiple Rsquared: 0.04146, Adjusted R-squared: 0.02901 F-statistic: 3.331 on 1 and 77 DF, p-value: 0.07188 b) (6 pts) Write the sample prediction equation. Use it to estimate the literacy rate in Chile whose public spending on education is 5.42. c) (6 pts) State the null hypothesis and the alternative hypothesis of the significance test to test that the slope is zero (which means. there is no linear association between public spending on education and literacy rate). Report the test statistic, p-value, and a state conclusion using the 0.05 significance ICI'I'OI