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

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m