Suppose that a regression line for some data transformed with logarithms

predicts that when x equals 4, log(y) will equal 3.331. What does the

regression line predict y will equal when xequals 4? Round your answer to the

nearest whole number.

The regression line predicts that at x = 4, y equals 2143

Step-by-step explanation:

Given that when x equals 4, log(y) will equal 3.331

To find: Find y when x equals 4

Since we have given that,

When x = 4,

log  y = 3.331  

We need to find the value of 'y' when x = 4

Since it is logarithmic function with base 10, Raise to power of 10 on both sides,

we get

rounding to nearest whole number, we get 2143

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a