As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. Complete parts (a) through (f) below. 7-Day Strength (psi), x 3340 3380 3330 2300 2480 28-Day Strength (psi), y 4630 5020 4850 4070 4120 (a) Treating the 7-day strength as the explanatory variable, x, use technology to determine the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing (Round to one decimal place as needed.) beta 1almost equalsb 1equals nothing (Round to four decimal places as needed.) (b) Compute the standard error of the estimate, s Subscript e. s Subscript eequals nothing (Round to one decimal place as needed.) (c) A normal probability plot suggests that the residuals are normally distributed. Determine s Subscript b 1. Use the answer from part (b). s Subscript b 1equals nothing (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 7-day strength and 28-day strength at the alphaequals0.05 level of significance. State the null and alternative hypotheses. Choose the correct answer below. A. Upper H 0: beta 0equals0 Upper H 1: beta 0greater than0 B. Upper H 0: beta 1equals0 Upper H 1: beta 1greater than0 C. Upper H 0: beta 1equals0 Upper H 1: beta 1not equals0 D. Upper H 0: beta 0equals0 Upper H 1: beta 0not equals0 Determine the P-value of this hypothesis test. P-valueequals nothing (Round to three decimal places as needed.) What is the conclusion that can be drawn? A. Do not reject Upper H 0 and conclude that a linear relation does not exist between the 7-day and 28-day strength of a certain type of concrete at the alphaequals0.05 level of significance. B. Reject Upper H 0 and conclude that a linear relation does not exist between the 7-day and 28-day strength of a certain type of concrete at the alphaequals0.05 level of significance. C. Reject Upper H 0 and conclude that a linear relation exists between the 7-day and 28-day strength of a certain type of concrete at the alphaequals0.05 level of significance. D. Do not reject Upper H 0 and conclude that a linear relation exists between the 7-day and 28-day strength of a certain type of concrete at the alphaequals0.05 level of significance. (e) Construct a 95% confidence interval about the slope of the true least-squares regression line. Lower bound: nothing (Round to three decimal places as needed.) Upper bound: nothing (Round to three decimal places as needed.) (f) What is the estimated mean 28-day strength of this concrete if the 7-day strength is 3000 psi? A good estimate of the mean 28-day strength is nothing psi. (Round to two decimal places as needed.) Click to select your answer(s).
7-Day_Strength_(psi)_-_x
28-Day_Strength_(psi)_-_y
3340 4630
3380 5020
3330 4850
2300 4070
2480 4120
As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in...
As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. Complete parts (a) through (f) below. 7-Day Strength (psi), x 3340 3380 3330 2300 2480 28-Day Strength (psi), y 4630 5020 4850 4070 4120 (a) Treating the 7-day strength as the explanatory variable, x, use technology to determine the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing (Round to...
As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. Complete parts (a) through (f) below. 7-Day Strength (psi), x 2300 2480 2620 2890 3330 28-Day Strength (psi), y 4070 4120 4190 4620 4850 OD. Ho: Bo = 0 Hy: Bo > 0 Determine the P-value of this hypothesis test. P-value = .006 (Round to three decimal places as needed.) What is the...
As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) ofa certain type of concrete. Complete parts (a) through (f) below. 7-Dy Strength (psi)x 33802620 3390 2300 3330 4070 4850 28-Day Strength (psi,y 4190 (a) Treating the 7-day strength as the explanatory variable, use technology to determine the estimates of Po and pl P 1753.9 (Round to one decimal place as needed.) P sb9707 (Round to four decimal places...
As Concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in psi of a certain type of concrete. Conduct regression analysis for the following data and comment on the coefficient of determination value. Calculate the 28th day strength for the concrete with seventh day strength of 4 psi 7-day 28-day strength, strength, X y 2,300 4,070 3,390 5,220 2,430 4,640 2,890 4,620 3,330 4,850 2,480 4,120 3,380 5,020 2,660 4,890 2,620 4,190 3,340 4,630
I need help with - What is the conclusion that can be drawn? - thank you! As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. 7-Day_Strength_(psi)_-_x 28-Day_Strength_(psi)_-_y 3390 5220 3340 4630 2300 4070 2480 4120 3380 5020 (a) Treating the 7-day strength as the explanatory variable, x, use technology to determine the estimates of β0 and β1. β0≈b0= 1981.5 (Round to one...
A researcher wants to determine a model to predict the 28-day strength of a concrete mixture. The following data represent the slump (a measure of concrete uniformity in inches) x1, 7-day strength (in pounds per square inch, or psi) x2, and the 28-day strength (in psi) y of a certain type of concrete. Slump measure of the uniformity of the concrete, with a higher slump indicating a less uniform mixture. Complete parts (a) through (j). 3.75 4.5 2.5 4 3...
For the data set shown below, complete parts (a) through (d) below. x 3 4 5 7 8 y 5 7 6 13 14 (a) Find the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals negative 1.360 (Round to three decimal places as needed.) beta 1almost equalsb 1equals 1.919 (Round to three decimal places as needed.) (b) Compute the standard error, the point estimate for sigma. s Subscript eequals 1.4929 (Round to four decimal places as needed.)...
The following table shows the hot dogs bought from a street vendor over the course of eight days ("Demand"). Also shown is the temperature for each day in degrees Celsius. nbsp Temperature (C*): 22 12 22 19 7 11 16 23 Demand: 50 30 36 40 18 25 40 31 A linear regression on the data gives the equation below. Complete parts a through d below. Predicted Demand equals 13.22 plus 1.24 left parenthesis Temperature right parenthesis a. Calculate the...
Summary statistics for 10 drivers' car insurance premiums quoted by a local agent and an online company are shown in the table to the right. The accompanying table has displays for each company's quotes and for the difference left parenthesis Local minus Online right parenthesis . Variable Count Mean StdDev Local 10 802.8 220.587 Online 10 754.8 284.838 PriceDiff 10 48.0 155.531 Test an appropriate hypothesis to see if there is evidence that drivers might save money by switching to...
An agency examined the relationship between the ozone level (in parts per million or ppm) and the population (in millions) of cities. Part of the regression analysis is shown to the right. Complete parts a and b below. Dependent variable is: Ozone R squaredequals82.2% s=5.158 with 16-2=14 df Variable Coeff SE (Coeff) Intercept 18.769 2.311 Population 6.701 2.027 a) It is suspected that the greater the population of a city, the higher its ozone level. Is the relationship statistically...