Hw6 (Thomas Ch4) × Exercise 16-7 Numerous StucX Jasmyn ezto.mheducation.com/hm.t

Question

Hw6 (Thomas Ch4) × Exercise 16-7 Numerous StucX Jasmyn ezto.mheducation.com/hm.tpx Round all intermediate calculations to at least 4 decimal places) Numerous studies have shown that watching boo much television hurts school grades. Others have argued that teleson i not necessariy bad ting fr children (Mee Crine. July 18, 2009). Like books and stories, television not only entertains, it also exposes a chid to new information about the word While watching too much TV is harmful, a litte bit may actually help. Researcher Matt Castle gsthers information on the grade pont average (GPA) of 28 mdde school didren and the number of hours of TV they watched per week. A portion of the data is shown in the accompanying table. GPA Hours TV 3.24 324 2.61 3.37 2.90 3.05 3.62 2.33 2.30 320 3.35 2.04 2.80 Data Filo Estimste a quadratic regress on model where the GPA of middle school childe is regressed on hours and hours squared. (Negative values should be indicated by a minus sign. Round your answers to 4 decimal places a. " b. is the quadrabic term in this model justfied? es, based on the Yes, based on the signfcance of Hours No based on the R No. based on the insignficanos of Hours2 c. Find the opamal number of weedy hours of TV for middlo school childran. (Round your answer to 2 decimal placea Opsimal number of weekly hours References eBook & Resources Diffiouity: 3 Hard

Explanation / Answer

a)

GPA^ = 3.0944 + 0.0409976*hours -0.002190872* hours^2

b) yes , based on R^2 ,as it is high

c)

for optimal

dGPA/dhours = 0

t* = 0.0409976 / 2(*0.002190872)

= 9.356457 hours

Please rate

gpa hours hours^2 3.24 19 361 3.1 21 441 3.24 18 324 2.61 30 900 3.03 23 529 3.37 10 100 1.6 36 1296 3.2 10 100 2.96 13 169 2.18 31 961 2.5 33 1089 2.95 4 16 2.72 25 625 3.05 21 441 3.45 8 64 2.49 27 729 3.62 11 121 2.33 29 841 2.36 30 900 3.28 10 100 3.35 15 225 2.64 18 324 2.88 24 576 2.02 29 841 2.6 22 484 3.18 21 441 3.31 4 16

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