Question

In: Statistics and Probability

Porosity% Mean diameter(mm) A 18 12 B 18.3 9.7 C 16.3 7.3 D 6.9 5.3 E...

Porosity% Mean diameter(mm)
A 18 12
B 18.3 9.7
C 16.3 7.3
D 6.9 5.3
E 17.1 10.9
F 20.4 16.8

a) Produce a graph containing the confidence intervals for the mean and prediction intervals for new observations

b) Interpret both intervals for a mean pore diameter of 15 micrometers

Solutions

Expert Solution

(a) The confidence intervals for the mean and prediction intervals for new observations are:

Predicted values for: Porosity%
95% Confidence Intervals 95% Prediction Intervals
Mean diameter(mm) Predicted lower upper lower upper
12.0 17.7497 13.7819 21.7175 8.0598 27.4396
9.7 15.5651 11.9021 19.2281 5.9960 25.1343
7.3 13.2855 8.5919 17.9792 3.2765 23.2946
5.3 11.3859 5.2361 17.5356 0.6169 22.1548
10.9 16.7049 13.0526 20.3572 7.1398 26.2700
16.8 22.3089 14.9637 29.6540 10.8153 33.8024

The graph is:

(b) The intervals are:

Predicted values for: Porosity%
95% Confidence Interval 95% Prediction Interval
Mean diameter(mm) Predicted lower upper lower upper
15 20.5992 14.7393 26.4591 9.9931 31.2053

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Porosity% Mean diameter(mm) A 18 12 B 18.3 9.7 C 16.3 7.3 D 6.9 5.3 E...
Porosity% Mean diameter(mm) A 18 12 B 18.3 9.7 C 16.3 7.3 D 6.9 5.3 E 17.1 10.9 F 20.4 16.8 1. a. Construct an ANOVA table to assess the relationship between porosity and mean pore diameter b. Indicate your hypotheses c. Make sure you can do the computations by hand. Show your work (you can doublecheck using software) d. Compute an F test statistic. Using a Type I error rate of 10% (as opposed to the more traditional 5%),...
Consider the cross: A/a; b/b; C/c; D/d; E/e x A/a; B/b; c/c; D/d; e/e a) what...
Consider the cross: A/a; b/b; C/c; D/d; E/e x A/a; B/b; c/c; D/d; e/e a) what proportion of the progeny will phenotypically resemble the first parent? b) what proportion of the progeny will genotypically resemble neither parent?
The expected returns for Stocks A, B, C, D, and E are 7%, 10%, 12%, 25%,...
The expected returns for Stocks A, B, C, D, and E are 7%, 10%, 12%, 25%, and 18% respectively. The corresponding standard deviations for these stocks are 12%, 18%, 15%, 23%, and 15% respectively. Based on their coefficients of variation, which of the securities is least risky for an investor? Assume all investors are risk-averse and the investments will be held in isolation. a. ​E b. ​B c. ​D d. ​C e. ​A
Two 2.4-mm-diameter beads, C and D, are 11 mm apart, measured between their centers. Bead C...
Two 2.4-mm-diameter beads, C and D, are 11 mm apart, measured between their centers. Bead C has mass 1.0 g and charge 2.5 nC .Bead D has mass 2.0 g and charge -1.0 nC. a) If the beads are released from rest, what is the speed vC of C at the instant the beads collide? b)What is the speed vD of D at the instant the beads collide?
Two 2.1-mm-diameter beads, C and D, are 10 mm apart, measured between their centers. Bead C...
Two 2.1-mm-diameter beads, C and D, are 10 mm apart, measured between their centers. Bead C has mass 1.0 g and charge 1.6 nC. Bead D has mass 2.3 g and charge -1.0 nC. 1) If the beads are released from rest, what is the speed vC of C at the instant the beads collide? 2) What is the speed vD of D at the instant the beads collide?
Two 2.5-mm-diameter beads, C and D, are 11 mm apart, measured between their centers. Bead C...
Two 2.5-mm-diameter beads, C and D, are 11 mm apart, measured between their centers. Bead C has mass 1.0 g and charge 1.8 nC .Bead D has mass 2.5 g and charge -1.0 nC. If the beads are released from rest, what is the speed vC of C at the instant the beads collide? Express your answer to two significant figures and include the appropriate units. What is the speed vD of D at the instant the beads collide? Express...
Given the following knowledge base: a <- b^c. b <- d^e. b <- g^e. c <-...
Given the following knowledge base: a <- b^c. b <- d^e. b <- g^e. c <- e. d. e. ƒ <- a^g. Which of the following would be the trace of resolved atoms assuming a bottoms-up proof procedure? Select one: a. {a,b,c,e,g} b. {a,b,c,e,d} c. {g,e,b,e,c,a} d. None of these options Constraint Satisfaction Problem (CSP) is consists of a set of _________________. Select one: a. Variables, heuristics, and solutions b. Variables, domains, and backtracking c. Variables, domains, and constraints d....
Let A = {a, b, c, d} and B = {b, d, e}. Write out all...
Let A = {a, b, c, d} and B = {b, d, e}. Write out all of the elements of the following sets. (a) B ∩ ∅ (b) A ∪ B (c) (A ∩ B) × B (d) P(A\B) (e) {X ∈ P(A) | |X| ≤ 3}
Find the proof of the following ((a ∧ b) ∨ (c ∧ d)), (a → e),...
Find the proof of the following ((a ∧ b) ∨ (c ∧ d)), (a → e), (b → f), (c → f), (d → e) ⊢ e
12. Assume that we randomly choose from the letters {A, B, C, D, E, F, G,...
12. Assume that we randomly choose from the letters {A, B, C, D, E, F, G, H, I, J, K, L} (without replacing the letters), until they have all been taken. (a) Find the probability that the letters A and K are chosen successively in the given order. (b) Find the probability that the letters G, H, I, are chosen successively in the given order. c) Find the probability that the string "LAI" appears somewhere in the sequence of letters....
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT