A linear regression analysis was done in R for the relationship between speed Y (km/hour) and density X (vehicle/km) for a road segment yielded the following output. The sample size is 40. Please fill in the estimated value below. Estimate Std. Error t value Pr(>|t|) (Intercept) 1 0.40869 245.168 ? 2 0.01957 -97.865 ? (a) Based on the results above, write the formulation of the estimated linear regression model: 3 Please interpret the (b) Please interpret the intercept estimate: coefficient of density: 5. 4 (c) In the generalized f-test, the f-statistic has degree of freedom in the denominator. Enter the correct answer below. 1 Please enter a number for this text box. 2 Please enter a number for this text box. 3 4 Please enter a number for this text box.

Q: 1 -3 4 1 Let A = 1 2 -3 2 4. B = -4 0 -2 [-1 2 5. Find Rank of AB

A:

Q: A curve is given by the equation y = ln (2³+¹). x5

A:

Q: A sample​ mean, sample​ size, and population standard deviation are provided below. Use the​…

A: The test statistic is obtained by the formula is z=x¯-μ0σn z=28-31732=-31.2374=-2.42

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: 3 3 x-5 1 322

A:

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: 4x e 3x

A: I = ∫4x e−3x dx

Q: 3s – 7 s- 2s + 3

A:

Q: 5/14+1/6

A: 514+16=15+742

Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

A:

Q: expand (a-b)7

A: The solution is given in the next step.

Q: 1) S7 (1+x*)²

A: Given: I=∫x3dx1+x42 For evaluating given integral, we substitute 1+x4=t…

Q: - 3 4 3 - 13 - 10 - 10 -3 Find the LU factorization of 9 L = U = II

A:

Q: 6 5 3 5 6 2 Let D =| 4 -5 7 and E = 1 0 7 1 0 -3 2 5 Find - 5D- 6E.

A: given matrices are

Q: 目 +8 LI +T 现 +04 +C4 |F|E|F|| ||||4 4 4 2 2

A:

Q: 0 1 2 4 0 2 4 0 0 3 9 12

A:

Q: 2(3+d-1)

A: Solve the given expression  given expression is 2(3+d-1)

Q: 1 3 -2 What is the rank of 2? -81 -1 -2 -6 4 a. 4 с. 2 b. 3 d. 1

A: Given: The matrix, 13-2401-12-2-64-8 To find: The rank of the matrix.

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: 14. (27 – 3 + 3k ) + 3(7 – !J + k )

A:

Q: 1 + 2n < n° for all integers n² 2

A:

Q: The range is $ ___ million. (Round to the nearest integer as needed.) The variance is ___ million…

A: Step 1: Here are the values given:• George Lucas: $5500 million• Steven Spielberg: $3700 million•…

Q: Find A

A:

Q: 4.) Which expressions have a negative product? Select all that apply. A. (-1)(2)(-3) B. -(-3)(-2) C.…

A: Solve the following

Q: Find L¹ 1 5 (s²-25) Do not expand. Use a property from 7.4.

A:

Q: X ~ N(1, 2)

A: We have find givan normal distribution...

Q: (-3d6w3)3

A: Evaluate -3d6w33=?

Q: find: (m+I) m!

A:

Q: 5 (4k + 3) k 1

A: Given,

Q: 2 0 (49x2+1)3/2 4.) 7dx

A: Given:The indefinite integral given is

Q: A. 3- 2x 2 x B. (2 - x) 2 3x C. 3(2 - X) 2 3x D. 3-2x2 3x 32. Six is at least the product of three…

A:

Q: f. ā(0)

A: Obtain the velocity vector as shown below: vt→=ddtrt→vt→=ddtsint,t,costvt→=cost,1,-sint

Q: 3. (x³ + 4x² –x – 1) + (x + 3)

A: Here we have to divide two polynomials as shown.

Q: 5х -44 j 2х+ 7 k

A: We have been given that j || k

Q: 5s – 6 Find L s² – 4s + 7.

A:

Q: (7) (-4) + (-4 × 6) x

A: We need to solve algebraic quantity.

Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

A:

Q: mplify. (76)2

A: