Answer:
The residual, when the customer with a height of 155cm rents a bike with a 51cm frame, is 413/3.
Step-by-step explanation:
To find the residual of a customer with a height of 155cm who rents a bike with a 51cm frame, we need to substitute the values into the equation and calculate the difference between the actual value and the predicted value.
The given equation is: y = 1/3 + 1/3x
We are given that the customer's height is 155cm and the bike frame size is 51cm. Let's substitute these values into the equation:
y = 1/3 + 1/3(51)
y = 1/3 + 17
y = 17 1/3
The predicted value of y, based on the equation, is 17 1/3.
Now, we can calculate the residual by finding the difference between the actual height of the customer and the predicted value:
Residual = Actual Value - Predicted Value
Residual = 155 - 17 1/3
To subtract mixed numbers, we need to convert the mixed number into an improper fraction:
17 1/3 = (3 * 17 + 1) / 3 = 52/3
Residual = 155 - 52/3
To subtract fractions, we need a common denominator:
Residual = (3 * 155)/3 - 52/3
Residual = 465/3 - 52/3
Residual = (465 - 52) / 3
Residual = 413/3
The residual, when the customer with a height of 155cm rents a bike with a 51cm frame, is 413/3.
