# Question: Refer to Exercise 11 7 Find the equations of the lines

Refer to Exercise 11.7. Find the equations of the lines that pass through the points listed in Exercise 11.5.

In Exercise 11.5

a. (1, 1) and (5, 5)

b. (0, 3) and (3, 0)

c. 1-1, 12 and (4, 2)

d. 1-6, -32 and (2, 6)

In Exercise 11.7

The equation (deterministic) for a straight line is

y = β0 + β1x

If the line passes through the point 1-2, 42, then x = -2, y = 4 must satisfy the equation; that is,

4 = β0 + β1(1-2)

Similarly, if the line passes through the point (4, 6), then x = 4, y = 6 must satisfy the equation; that is,

6 = β0 + β1(4)

Use these two equations to solve for β0 and β1; then find the equation of the line that passes through the points 1-2, 42 and (4, 6).

In Exercise 11.5

a. (1, 1) and (5, 5)

b. (0, 3) and (3, 0)

c. 1-1, 12 and (4, 2)

d. 1-6, -32 and (2, 6)

In Exercise 11.7

The equation (deterministic) for a straight line is

y = β0 + β1x

If the line passes through the point 1-2, 42, then x = -2, y = 4 must satisfy the equation; that is,

4 = β0 + β1(1-2)

Similarly, if the line passes through the point (4, 6), then x = 4, y = 6 must satisfy the equation; that is,

6 = β0 + β1(4)

Use these two equations to solve for β0 and β1; then find the equation of the line that passes through the points 1-2, 42 and (4, 6).

## Relevant Questions

Give the slope and y-intercept for each of the lines defined in Exercise 11.9. a. y = 4 + x b. y = 5 – 2x c. y = – 4 + 3x d. y = – 2x e. y = x f. y = .50 + 1.5x Writing in Chance (Fall 2004), University of Konstanz (Germany) statistics professor Jan Beran demonstrated that certain aspects of music can be described by quantitative models. For example, the information content of a ...Suppose you fit a least squares line to 12 data points and the calculated value of SSE is .429. a. Find s2, the estimator of σ2 (the variance of the random error term ε). b. Find s, the estimate of σ. c. What is the ...What are the factors that allow a native Spanish-speaking person to understand and read English? A study published in the Bilingual Research Journal (Summer 2006) investigated the relationship of Spanish (first-language) ...Calculate r2 for the least squares line in Exercise 11.14. In Exercise 11.14 The accompanying table is similar to Table 11.3. It is used to make the preliminary computations for finding the least squares line for the given ...Post your question