SOLUTION: Is there a relationship between the weight and price of a mountain​ bike? The following data set gives the weights and prices for ten mountain bikes. Let the expanatory varia

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Is there a relationship between the weight and price of a mountain​ bike? The following data set gives the weights and prices for ten mountain bikes. Let the expanatory varia      Log On


   

Question 1046959: Is there a relationship between the weight and price of a mountain​ bike? The following data set gives the weights and prices for ten mountain bikes. Let the expanatory variable x be the weight in pounds and the response variable y be the​ bike's price.
Weight​ (LB)
30
33
30
27
37
31
29
35
35
29

Price​ ($)
1100
360
560
590
140
1020
710
920
170
460
a. Construct a scatterplot. Interpret.
b. Find the regression equation. Interpret the slope in context. Does the​ y-intercept have contextual​ meaning?
c. You decide to purchase a mountain bike that weighs 3232 pounds. What is the predicted price for the​ bike?
a. Which scatterplot below correctly shows the​ data?
A.
25
40
0
1200
x
y
x y graph
B.
25
40
0
1200
x
y
x y graph
C.
25
40
0
1200
x
y
x y graph
Your answer is correct.D.
25
40
0
1200
x
y
x y graph
The scatterplot shows
a moderate negative
association between the two variables.
b. The regression equation is ModifyingAbove Y(^hat)=()+x
​(Round to two decimal places as​ needed.)
Answer by ewatrrr(24785) About Me  (Show Source):
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Is there a relationship between the weight and price of a mountain​ bike? The following data set gives the weights and prices for ten mountain bikes. Let the expanatory variable x be the weight in pounds and the response variable y be the​ bike's price.
Weight​ (LB)
x y
30 1100
33 360
30 560
27 590
37 140
31 1020
29 710
35 920
35 170
29 460
a. Construct a scatterplot. Use the columns above in an EXcel worksheet..
HIghlight Columns, Select Insert and then choose scatter Plot
b. Find the regression equation. Select layout and Then Trend Line/Formula
Interpret the slope in context. More Weight, less it costs
Does the​ y-intercept have contextual​ meaning? No, Bike cannot weigh 0lbs
c. You decide to purchase a mountain bike that weighs 32 pounds. What is the predicted price for the​ bike?
Insert 32 for x
.