s concrete cures, It gains strength. The following data represant the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. Complete parts (a) through () below.. 7-Day Strength (psi), x 28-Day Strength (pei), y 5020 5220 3380 3300 2300 3330 2890 4070 4850 4620 (a) Treating the 7-day strength as the explanatory variable, x, use technology to determine the estimates of Bo and B- Bobo =(Round to one decimal place as neoded.) Bzb, = (Round to four decimal places as nooded.) (b) Compute the standard orror of the ostimate, s (Round to one decimal place as needed.) (e) A normal probability plot suggests that the residuals are normally distributed. Determine Use the answer from part (b). (Round to four decimal piaces as needed.) (d) Anormal probabity plot suggests that the residuals are nomally distributed. Test whother a linear rulation exists between 7-day strength and 28-day strength at the g=0.05 level of significance. State the null and alternative hypotheses. Chonse the corect answer below. O A. Ho: BoO OB. Hg: B1 =0 H: B0 OC. Hg: B =o OD. Ho: Bo =0 H: Bo0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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As concrete cures, It gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psl) of a certain type of concrete. Complete parts (a) through (f) below.
7-Day Strength (psl), x
28-Day Strength (psi), y 5020
2300
4070
2890
4620
3380
3390
3330
5220
4850
(a) Treating the 7-day strength as the explanatory variable, x, uso technology to determine the estimates of Bo and B,.
Pos bo =(Round to one decimal place as neoded.)
B sb, = (Round to four decimal places as noeded.)
(b) Compute tho standard error of the estimate, sg
(Round to one declmal place as needed.)
(c) A normal probability plot suggosts that ihe residuals aro normally distributed. Determine s, Use the answer from part (b).
(Round to four decimal places as needed.)
(d) A normal probabity plot suggests that the residuals are normally distributed. Test whether a linear relatlon exists between 7-day strength and 28-day strength at the a=0.05 level of significanca.
State the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: fa =0
H: Bo>0
O B. Ha: B1 =0
H: B, +0
O C. Hgi B =0
H: B >0
O D. Ho: Bo =0
Click to select your answer(s).
Transcribed Image Text:As concrete cures, It gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psl) of a certain type of concrete. Complete parts (a) through (f) below. 7-Day Strength (psl), x 28-Day Strength (psi), y 5020 2300 4070 2890 4620 3380 3390 3330 5220 4850 (a) Treating the 7-day strength as the explanatory variable, x, uso technology to determine the estimates of Bo and B,. Pos bo =(Round to one decimal place as neoded.) B sb, = (Round to four decimal places as noeded.) (b) Compute tho standard error of the estimate, sg (Round to one declmal place as needed.) (c) A normal probability plot suggosts that ihe residuals aro normally distributed. Determine s, Use the answer from part (b). (Round to four decimal places as needed.) (d) A normal probabity plot suggests that the residuals are normally distributed. Test whether a linear relatlon exists between 7-day strength and 28-day strength at the a=0.05 level of significanca. State the null and alternative hypotheses. Choose the correct answer below. O A. Ho: fa =0 H: Bo>0 O B. Ha: B1 =0 H: B, +0 O C. Hgi B =0 H: B >0 O D. Ho: Bo =0 Click to select your answer(s).
As concrete cures, it gains strongth. The following data represont the 7-day and 28-day strength in pounds per square inch (psi) of a cortain type of conoreto. Complete parts (a) through () below.
7-Day Strength (psi), x
28-Day Strength (psi), y
2890
4620
3380
3390
2300
3330
5020
5220
4070
4850
Hy: B, >0
O D. Hg: Po =0
H: Bo +0
Determine the P-value of this hypothesis test.
P-value = (Round to threo decimal places es needed.)
What is the conclusion that can be drawn?
O A. Do not roject Ho and conclude that a linear relation doos not exist between the 7-day and 28-day strength of a certain type of concrete at the oa"0.05 level of significance.
O B. Roject Hg and conclude that a linear relation does not exist botwoon the 7-day and 28-day strength of a certain type of concrete at the a =0.05 level of significance.
OC. Reject Ho and condlude that a linear relation oxists between the 7-day and 28-day strength of a certain type of concrete at the a=0.05 level of significance.
O D. Do not reject H, and concludo that a linear rolation exists betweon the 7-day and 28 day strengthi uf a certain type of concrete at the a=0.05 level of significarice.
(e) Construct a 95% confidence interval about the slope of the true least-squares regression line.
Lower bound:
(Round to three decimal places os needed.)
Upper bound:
(Round to threo decimal places as needed.)
(f) What is the estimated mean 28-day strength of this concrete if the 7-day strength is 3000 pal?
A good estimate of the mean 28-day strength is psi.
(Round to two decimal places as needed.)
Click to select your answer(s).
Transcribed Image Text:As concrete cures, it gains strongth. The following data represont the 7-day and 28-day strength in pounds per square inch (psi) of a cortain type of conoreto. Complete parts (a) through () below. 7-Day Strength (psi), x 28-Day Strength (psi), y 2890 4620 3380 3390 2300 3330 5020 5220 4070 4850 Hy: B, >0 O D. Hg: Po =0 H: Bo +0 Determine the P-value of this hypothesis test. P-value = (Round to threo decimal places es needed.) What is the conclusion that can be drawn? O A. Do not roject Ho and conclude that a linear relation doos not exist between the 7-day and 28-day strength of a certain type of concrete at the oa"0.05 level of significance. O B. Roject Hg and conclude that a linear relation does not exist botwoon the 7-day and 28-day strength of a certain type of concrete at the a =0.05 level of significance. OC. Reject Ho and condlude that a linear relation oxists between the 7-day and 28-day strength of a certain type of concrete at the a=0.05 level of significance. O D. Do not reject H, and concludo that a linear rolation exists betweon the 7-day and 28 day strengthi uf a certain type of concrete at the a=0.05 level of significarice. (e) Construct a 95% confidence interval about the slope of the true least-squares regression line. Lower bound: (Round to three decimal places os needed.) Upper bound: (Round to threo decimal places as needed.) (f) What is the estimated mean 28-day strength of this concrete if the 7-day strength is 3000 pal? A good estimate of the mean 28-day strength is psi. (Round to two decimal places as needed.) Click to select your answer(s).
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage