Question

For a project in her statistics class, Carrie surveyed her classmates about the extent of their travel experience.
Carrie asked her classmates how many states, x, and how many countries, y, they had visited.
The least squares regression line of this data set is:
y=0.088x+6.854
How many visited countries does this line predict for a student who has visited 7 states?
Round your answer to the nearest integer.
countries

Answer 1

To find the predicted number of countries a student who has visited 7 states is estimated to have visited, we can substitute \( x = 7 \) into the least squares regression line equation:

\[
y = 0.088x + 6.854
\]

Substituting \( x = 7 \):

\[
y = 0.088(7) + 6.854
\]

Calculating that:

\[
y = 0.616 + 6.854 = 7.470
\]

Now, rounding to the nearest integer:

\[
y \approx 7
\]

Thus, the predicted number of countries for a student who has visited 7 states is **7 countries**.