uiz #5 (Stats 1222 10.1-10.8) Name_________________________ Age x and resting heart rate y were sampled for 25 randomly selected children from age 2 to 9. Summary information is: n = 25, x = 140.5, x2 = 903.75, y = 2567, y2 = 264, 457, xy = 14, 171.5 (a) Compute SSxx, SSxy, and SSyy. (b) Compute the linear correlation coefficient and interpret what it means in the context of the problem. (c) Compute the least squares regression line. (d) Predict the resting heart rate for a child age 5. (e) Compute se. (f) Construct the 95% confidence interval for the slope 1 of the population regression line based on the information. (g) Test whether the slope B1 of the population regression line is positive against the defulat that it is zero. Use = .10.Identify your hypotheses and find the standardized test statistic here. (h) Identify the rejection region for the test at = 0.10 (i) Make a decision whether to reject the null hypothesis at = 0.10. (j) State your conclusion in the context of the problem. (k) Find the coefficient of determination r2 and explain what it means in the context of this problem. (l) Compute a 90% confidence interval for the average resting heart rate of six year old children. (m) Compute a 95% confidence interval for the average resting heart rate of 3 six year old children