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3. A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 5 children and measures their height and head circumference. The data are summarized below. Complete parts (a) through (f) below. Height (inches), x 27.75 25 26.75 27.50 Head Circumference (inches), y | 17.6 17.1 16.9 17.3 17.5 1 Click the icon to view the Student's t-distribution table (a) Treating height as the explanatory variable, x, determine the estimates of Bo and B, . Bo ~ bo = 11.078 By ~ b1 = 0.234 (Round to three decimal places as needed.) (b) Compute the standard error of the estimate, Se. Se = 0.0454 (Round to four decimal places as needed.) (c) A normal probability plot suggests that the residuals are normally distributed. Determine sp, - (Round to four decimal places as needed.) (d) A normal probability plot suggests that the residuals are normally distributed. Test whether a linear relation exists between height and head circumference at the = 0.01 level of significance. State the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: Bo = 0 OB. HO: B1 = 0 H1: Po > 0 H1 : B1 0 O C. Ho: B1 = 0 O D. Ho: Bo = 0 H : B , >0 Calculate the test statistic. to = (Round to two decimal places as needed.) Determine the range of the P-value for this hypothesis test. Choose the correct answer below. O A. The P-value is between 0.02 and 0.04. O B. The P-value is between 0.005 and 0.01. O C. The P-value is between 0.01 and 0.02. O D. The P-value is between 0.001 and 0.002. What is the conclusion that can be drawn? O A. Reject Ho and conclude that a linear relation less between a child's height and head circumference at the level of significance a = 0.01. O B. Reject Ho and conclude that a linear relation greater between a child's height and head circumference at the level of significance a = 0.01. O C. Do not reject Ho and conclude that a linear relation greater between a child's height and head circumference at the level of significance a = 0.01. O D. Do not reject Ho and conclude that a linear relation less between a child's height and head circumference at the level of significance a = 0.01. (e) Construct a 95% confidence interval about the slope of the true least-squares regression line