(a) he pediatrician warts to use height to predict head Apediatrician warts to determine the relation that may exist betweena child's height and head circumference. She randomly selects 8 chidren ciroumference, determine which variable is the explanatory variable trom her practice, measures heir height and head circumference, and cbtains the data shown in the table. Complete parts (a) hrough le) to he ight and which is the response variabie O The explanatory variable is height and the response variable is head circumference Height (in) Head Cireumference (in) 275 25.75 265 25 25 275 173 169 173 169 175 174 • The explanatory variable is head circumference and the response variable is height ) Draw a scater dagram. Which of the following represents the data? 26.75 26 27 25 17.1 OA 173 Click here to see the Table of Orical Values for Comelation Coefficient Critical Values for Comelation Coeficient 30997 40950 70.754 80.707 10062 11 0602 12 0576 (e) Compute the linear comelation coeficient between the height and head circumference of a child. 14 0532 15 0.514 16 0497 1704 180.468 190.456 20 0444 21 0433 22 0423 23 0413 24 0404 25 0.396 (Round to three decimal places as needed.) (4) Does a linear relation exist between height and head Giroumference? (Round to three decimal places as needed) OA Yes, the variables height and head ciroumference are positively associated because ris negatve and the absolute value of the corelation coeficient is greater than the criical value. OB. No, the variabies height and head oircumference are not inearly related because r is positive and the absolute value of the comrelation coefficient is less than the oritical value, 26 0388 27 0381 26 0.374 29 0367 30 0361 OC. No, the variables height and head circumference are not inearty related because ris negative and the absolute value

A certain company produces potting soil and sells it in 50 lb bags. Suppose that 100,000 bags are to be produced each year. It costs $8 per year to store a bag of potting soil, and it costs $4,000 to set up the facility to produce a batch of bags. Find the number of bags per batch that should be produced. OA. 14,121 OB. 100,000 OC. 9,574 OD. 10,000

Each child in a class is at least 110 centimeters tall and at most 142 centimeters tall. How large must the class be in order to guarantee that there are at least 2 children whose heights (to the nearest centimeter) differ by at most 9 centimeters? O 5 0 6 O 3 O 33 32

An online retailer requires three different size containers to package its products for shipment. The costs of these containers A, B, and C, and their capacities are shown as follows:             Container         A          B          C             Cost ($ each)     4          6          7             Capacity (cu in) 200       400      600 If the retailer orders 2500 containers with a total capacity of 1,100,000 cu in at a cost of $15,000, how many of each are in the order?