Question

the data - set shown represents the total fee for miles traveled on a toll road. use the information to complete the statements. there are observed toll - fee values. it costs $ to travel 76 miles. the predicted value for traveling 30 miles is $ . linear regression: y = 0.043x+0.324; r = 0.992 - 1 <= x <= 150 - 1 <= y <= 10

Explanation:

Step1: Count data points

Count the number of (x,y) pairs in the data - table. There are 6 pairs, so there are 6 observed toll - fee values.

Step2: Find cost for 76 miles

Use the linear regression equation $y = 0.043x+0.324$. Substitute $x = 76$ into the equation:
$y=0.043\times76 + 0.324$
$y = 3.268+0.324$
$y=3.592$

Step3: Find predicted value for 30 miles

Substitute $x = 30$ into the linear regression equation $y = 0.043x+0.324$.
$y=0.043\times30+0.324$
$y = 1.29+0.324$
$y = 1.614$

Answer:

There are 6 observed toll - fee values.
It costs $3.592$ to travel 76 miles.
The predicted value for traveling 30 miles is $1.614$.