The following data is looking at how long it takes to get to work. Let x = commuting distance (miles) and y = commuting time (mi
nutes) x 15 16 17 18 19 20 y 42 35 45 42 49 46
a. Give a scatterplot of this data and comment on the direction, form and strength of this relationship.
b. Determine the least-squares estimate equation for this data set.
c. Give the r2, comment on what that means.
d. Give the residual plot based on the least-squares estimate equation.
e. Test if this least-squares estimate equation specify a useful relationship between commuting distance and commuting time.
a. Give a scatterplot of this data and comment on the direction, form and strength of this relationship.
b. Determine the least-squares estimate equation for this data set.
c. Give the r2, comment on what that means.
d. Give the residual plot based on the least-squares estimate equation.
e. Test if this least-squares estimate equation specify a useful relationship between commuting distance and commuting time.
1 answer:
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Given:
- Lily bought 20.24 pounds of grapefruit.
- The lightest grapefruit weighed 1.2 pounds.
- The heaviest grapefruit weighed 1.8 pounds.
To Find:
An estimate of the number of grapefruits she bought.
Answer:
The best estimate is that Lily bought 13 grapefruits.
Step-by-step explanation:
Given that the lightest grapefruit weighed 1.2 pounds and the heaviest one weighed 1.8 pounds, we can take the mean or average of these two weights to estimate the weight of any of the grapefruits that she bought.
That is, we can say that each grapefruit must weigh something close to the average value.
The average can be found as
Thus, the average grapefruit from the bundle she bought must weigh around 1.5 pounds.
Now, given that the total weight of the grapefruit she bought is 20.24 pounds.
By the Unitary Method,
Weight of One Grapefruit = Total Weight of All Grapefruits ÷ Number of Grapefruits
So, number of grapefruits she bought = Total weight ÷ weight of one grapefruit
In other words,
number of grapefruit =
Rounding off, we may say that Lily bought 13 grapefruits.