How to find Standard Error
I am really struggling to figure out how to find the Standard Error. Attached is my homework question..
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 | ||||||
|---|---|---|---|---|---|---|
28-Day Strength (psi), y |
(a) Treating the 7-day strength as the explanatory variable, x, use technology to determine the estimates of
and
.
(Round to one decimal place as needed.)
(Round to four decimal places as needed.)
(b) Compute the standard error of the estimate, . (Round to one decimal place as needed.)
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I need help with - What is the conclusion that can be drawn? - thank you! As concrete cures, it...
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...
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) bel...
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...
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...
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 ...
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...
A researcher wants to determine a model to predict the 28-day strength of a concrete mixture....
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...
Compute the range and sample standard deviation for the strength of the concrete (in psi). 3930,...
Compute the range and sample standard deviation for the strength of the concrete (in psi). 3930, 4130, 3400, 3200, 2960, 3860, 4130, 4020 The range is 1170 psi S= psi (Round to one decimal place as needed.)
Compute the range and sample standard deviation for strength of the concrete (in psi). 3980, 4100,...
Compute the range and sample standard deviation for strength of the concrete (in psi). 3980, 4100, 3500, 3200, 2950, 3850, 4100, 4020 The range is 1150 psi. S= psi (Round to one decimal place as needed.)
B) (b) Use technology to compute the standard error, the point estimate for σ. se =...
B) (b) Use technology to compute the standard error, the point
estimate for σ.
se = ??? (Round to four decimal places as needed.)
(c) Assuming the residuals are normally distributed, use technology
to determine sb . 1
sb1= ??? (Round to four decimal places as needed.)
(d) Assuming the residuals are normally distributed, test H0: β1 =
0 versus H1: β1 ≠ 0 α = 0.05 level of significance.
Use the P-value approach.
Determine the P-value for this hypothesis...
A soap manufacturer tested a bar of soap to see how long it would last. A...
A soap manufacturer tested a bar of soap to see how long it would last. A test subject showered with the soap each day for 15 days and recorded the Weight (in grams) of the soap after the shower. Part of the regression output is shown below. Answer parts a through e. Variable Coefficient SE(Coeff) t-ratio P-value Dependent variable is: Weight R-squared=94.0% s=7.1 Intercept 126.392 3.39 37.24 ≤0.0001 Day −5.68865 0.386 −14.74 ≤0.0001 a) The standard deviation of the residuals...
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...
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...
Compute the range and sample standard deviation for strength of the concrete (in psi). 3980, 4100, 3500, 3200, 2950, 3850, 4100, 4020 The range is 1150 psi. S= psi (Round to one decimal place as needed.)
B) (b) Use technology to compute the standard error, the point
estimate for σ.
se = ??? (Round to four decimal places as needed.)
(c) Assuming the residuals are normally distributed, use technology
to determine sb . 1
sb1= ??? (Round to four decimal places as needed.)
(d) Assuming the residuals are normally distributed, test H0: β1 =
0 versus H1: β1 ≠ 0 α = 0.05 level of significance.
Use the P-value approach.
Determine the P-value for this hypothesis...
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