pediatrician wants to determine the relation that may existbetween a? child's height and head circumference. She randomlyselects 5 children and measures their height and headcircumference. The data are summarized below. Complete parts? (a)through? (f) below. Height? (inches), x 27 25.5 27.75 25 26.5 HeadCircumference? (inches), y 17.5 17.1 17.6 16.9 17.3 ?(a) Treatingheight as the explanatory? variable, x, use technology to determinethe estimates of beta 0 and beta 1. beta 0 almost equalsb 0 equals???????? ?(Round to four decimal places as? needed.) beta 1almostequalsb 1equals nothing ?(Round to four decimal places as? needed.)(b) Use technology to compute the standard error of the? estimate,s Subscript e. s Subscript eequals ?????(Round to four decimalplaces as? needed.) ?(c) A normal probability plot suggests thatthe residuals are normally distributed. Use technology to determines Subscript b 1. s Subscript b 1equals ???????? ?(Round to fourdecimal places as? needed.) ?(d) A normal probability plot suggeststhat the residuals are normally distributed. Test whether a linearrelation exists between height and head circumference at thealphaequals0.01 level of significance. State the null andalternative hypotheses for this test. Choose the correct answerbelow. A. Upper H 0?: beta 0equals0 Upper H 1?: beta 0not equals0B. Upper H 0?: beta 0equals0 Upper H 1?: beta 0greater than0 C.Upper H 0?: beta 1equals0 Upper H 1?: beta 1not equals0 Your answeris correct.D. Upper H 0?: beta 1equals0 Upper H 1?: beta 1greaterthan0 Determine the? P-value for this hypothesis test.?P-valueequals ????? ?(Round to three decimal places as? needed.)What is the conclusion that can be? drawn? A. Do not reject Upper H0 and conclude that a linear relation does not exist between a?child's height and head circumference at the level of significancealphaequals0.01. B. Reject Upper H 0 and conclude that a linearrelation does not exist between a? child's height and headcircumference at the level of significance alphaequals0.01. C. Donot reject Upper H 0 and conclude that a linear relation existsbetween a? child's height and head circumference at the level ofsignificance alphaequals0.01. D. Reject Upper H 0 and conclude thata linear relation exists between a? child's height and headcircumference at the level of significance alphaequals0.01. ?(e)Use technology to construct a? 95% confidence interval about theslope of the true? least-squares regression line. Lower? bound:???? Upper? bound: ????? ?(Round to three decimal places as?needed.) ?(f) Suppose a child has a height of 26.5 inches. Whatwould be a good guess for the? child's head? circumference? A goodestimate of the? child's head circumference would be ?????????(Round to two decimal places as? needed.)