Question

Following are age and price data for

88

randomly selected ambulances between 1 and 6 years old.​ Here, x denotes​ age, in​ years, and y denotes​ price, in hundreds of dollars. Use the information to complete parts​ (a) through​ (f).

x	6	1	6	2	6	2	4	5
y	250	400	275	370	265	355	315	300

a. Find the regression equation for the data points.

ModifyingAbove y with caretyequals=nothingplus+nothingx

​(Round to two decimal places as​ needed.)

b. Graph the regression equation and the data points.

A.

080500AgePrice

A scatterplot has a horizontal axis labeled Age from 0 to 8 in increments of 2 and a vertical axis labeled Price from 0 to 500 in increments of 100. The following points are plotted: (1, 400); (2, 370); (2, 360); (4, 320); (5, 300); (6, 250); (6, 280); (6, 270). A line falls from left to right and passes through the points (0, 420) and (5, 290). The line comes close to all of the points in the scatterplot and passes above some of the points and below others. All coordinates are approximate.

B.

080500AgePrice

A scatterplot has a horizontal axis labeled Age from 0 to 8 in increments of 2 and a vertical axis labeled Price from 0 to 500 in increments of 100. The following points are plotted: (1, 280); (2, 300); (2, 320); (4, 360); (5, 280); (6, 270); (6, 320); (6, 280). A line rises from left to right and passes through the points (0, 300) and (5, 310). The line passes above some of the plotted points and below others. All coordinates are approximate.

C.

080500AgePrice

A scatterplot has a horizontal axis labeled Age from 0 to 8 in increments of 2 and a vertical axis labeled Price from 0 to 500 in increments of 100. The following points are plotted: (1, 320); (2, 270); (2, 280); (4, 400); (5, 250); (6, 300); (6, 360); (6, 370). A line falls from left to right and passes through the points (0, 380) and (5, 310). The line passes above some of the plotted points and below others. All coordinates are approximate.

D.

080500AgePrice

A scatterplot has a horizontal axis labeled Age from 0 to 8 in increments of 2 and a vertical axis labeled Price from 0 to 500 in increments of 100. The following points are plotted: (1, 250); (2, 270); (2, 280); (4, 300); (5, 320); (6, 360); (6, 370); (6, 400). A line rises from left to right and passes through the points (0, 220) and (5, 350). The line comes close to all of the points in the scatterplot and passes above some of the points and below others. All coordinates are approximate.

c. Describe the apparent relationship between the two variables.

A.

Price tends to increase as age increases.

B.

Price tends to decrease as age increases.

C.

Price remains constant as age increases.

D.

There is no apparent relationship between age and price.

d. Identify the predictor and response variables.

A.

The predictor variable is price and the response variable is age.

B.

The predictor variable is ambulance and the response variable is age.

C.

The predictor variable is ambulance and the response variables are age and price.

D.

The predictor variable is age and the response variable is price.

e. Identify outliers and potential influential observations.

A.

There are no outliers and no influential observations.

B.

There is one outlier and no influential observations.

C.

There are no outliers and one influential observation.

D.

There are one or more outliers and influential observations.

f. Predict the value of the response variable for a​ 3-year-old ambulance.

The predicted price of a​ 3-year-old ambulance is

​$nothing.

​(Round to the nearest hundred dollars as​ needed.)

Click to select your answer(s).

Answer 1

The Data Points are represented as

x	y
6	250
1	400
6	275
2	370
6	265
2	355
4	315
5	300

(a) The Regression Equation of the Data set is obtained as follows.

_________________________________________________________________________________________

(b) The Scatter plot graph of the data set is given by

Option (A) is correct.

A scatterplot has a horizontal axis labeled Age from 0 to 8 in increments of 2 and a vertical axis labeled Price from 0 to 500 in increments of 100. The following points are plotted: (1, 400); (2, 370); (2, 360); (4, 320); (5, 300); (6, 250); (6, 280); (6, 270). A line falls from left to right and passes through the points (0, 420) and (5, 290). The line comes close to all of the points in the scatterplot and passes above some of the points and below others. All coordinates are approximate.

_______________________________________________________________________________________

(c) The Relationship between two variables is that price tend decreases as age trend increases.

Option "B" is correct.

__________________________________________________________________________________________

(d) Age "x" is the predictor variable and Price "y" is the response variable.

Option "D" is correct.

The predictor variable is age and the response variable is price.

___________________________________________________________________________________________