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) 32 33 29 29 34 37 28 30 34 30   Price​ ($) 980 350 430 710 930 160 590 530 180 1090     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 33 pounds. What is the predicted price for the​ bike? a. Which scatterplot below correctly shows the​ data?     A.       254001200xy         A coordinate system has a horizontal x-axis labeled from 25 to 40 in increments of 1 and a vertical y-axis labeled from 0 to 1200 in increments of 50. A cluster of plotted points that form a line that falls from left to right lie between horizontal coordinates of 28 and 37 and the vertical coordinates of 160 and 590. The cluster includes (30, 1090), (32, 980), and (34, 930).   B.       254001200xy         A coordinate system has a horizontal x-axis labeled from 25 to 40 in increments of 1 and a vertical y-axis labeled from 0 to 1200 in increments of 50. A cluster of plotted points that form a line that falls from left to right lie between horizontal coordinates of 28 and 37 and the vertical coordinates of 160 and 590. The cluster includes (30, 350), (32, 530), and (34, 430).   C.       254001200xy         A coordinate system has a horizontal x-axis labeled from 25 to 40 in increments of 1 and a vertical y-axis labeled from 0 to 1200 in increments of 50. A series of plotted points loosely form a line that rises from left to right. The cluster includes (30, 430), (32, 590), and (34, 930).   D.       254001200xy         A coordinate system has a horizontal x-axis labeled from 25 to 40 in increments of 1 and a vertical y-axis labeled from 0 to 1200 in increments of 50. A series of plotted points loosely form a line that falls from left to right. The cluster includes (30, 710), (32, 530), and (34, 350).   Click to select your answer and then click Check Answer.

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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)
32
33
29
29
34
37
28
30
34
30
 
Price​ ($)
980
350
430
710
930
160
590
530
180
1090
 
 
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
33
pounds. What is the predicted price for the​ bike?
a. Which scatterplot below correctly shows the​ data?
 
 
A.
 
 
 
254001200xy
 
  •  
  •  
  •  
A coordinate system has a horizontal x-axis labeled from 25 to 40 in increments of 1 and a vertical y-axis labeled from 0 to 1200 in increments of 50. A cluster of plotted points that form a line that falls from left to right lie between horizontal coordinates of 28 and 37 and the vertical coordinates of 160 and 590. The cluster includes (30, 1090), (32, 980), and (34, 930).
 
B.
 
 
 
254001200xy
 
  •  
  •  
  •  
A coordinate system has a horizontal x-axis labeled from 25 to 40 in increments of 1 and a vertical y-axis labeled from 0 to 1200 in increments of 50. A cluster of plotted points that form a line that falls from left to right lie between horizontal coordinates of 28 and 37 and the vertical coordinates of 160 and 590. The cluster includes (30, 350), (32, 530), and (34, 430).
 
C.
 
 
 
254001200xy
 
  •  
  •  
  •  
A coordinate system has a horizontal x-axis labeled from 25 to 40 in increments of 1 and a vertical y-axis labeled from 0 to 1200 in increments of 50. A series of plotted points loosely form a line that rises from left to right. The cluster includes (30, 430), (32, 590), and (34, 930).
 
D.
 
 
 
254001200xy
 
  •  
  •  
  •  
A coordinate system has a horizontal x-axis labeled from 25 to 40 in increments of 1 and a vertical y-axis labeled from 0 to 1200 in increments of 50. A series of plotted points loosely form a line that falls from left to right. The cluster includes (30, 710), (32, 530), and (34, 350).
 
Click to select your answer and then click Check Answer.
Expert Solution
Step 1:- Formula

Regression equation is given by,

Statistics homework question answer, step 1, image 1

Here X= Weight and Y= price

(A). Scatter plot 

 

Statistics homework question answer, step 1, image 2

 

Correlation between X and Y is 0.

 

scatterplot in which the points do not have a linear trend (either positive or negative) is called a zero correlation or a near-zero correlation

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