The following are the age (in years) and price (in hundreds of dollars) data for a certain type of car. A scatterplot of the data is given to the right. Age (x) 7 7 6 3 3 4 4 5 1 4 Price (y) 275 264 270 409 362 297 337 306 405 307 a. r= 500- (Round to three decimal places as needed.) 400- 300- 200- O a. Obtain the linear correlation coefficient. b. Interpret the value of r in terms of the linear relationship between the two variables. c. Discuss the graphical interpretation of the value of r. d. Obtain the value of the coefficient of determination by squaring r. de 0 2 4 6 8 10 ... M

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 24PFA
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The following are the age (in years) and price (in hundreds
of dollars) data for a certain type of car. A scatterplot of the data
is given to the right.
Age (x)
7 7
6 3 3 4
4
5 1 4
Price (y) 275 264 270 409 362 297 337 306 405 307
a. r= (Round to three decimal places as needed.)
Ay
500-
400
300-
200-
a. Obtain the linear correlation coefficient.
b. Interpret the value of r in terms of the linear relationship between the two variables.
c. Discuss the graphical interpretation of the value of r.
d. Obtain the value of the coefficient of determination by squaring r.
X
0 2 4 6 8 10
Transcribed Image Text:The following are the age (in years) and price (in hundreds of dollars) data for a certain type of car. A scatterplot of the data is given to the right. Age (x) 7 7 6 3 3 4 4 5 1 4 Price (y) 275 264 270 409 362 297 337 306 405 307 a. r= (Round to three decimal places as needed.) Ay 500- 400 300- 200- a. Obtain the linear correlation coefficient. b. Interpret the value of r in terms of the linear relationship between the two variables. c. Discuss the graphical interpretation of the value of r. d. Obtain the value of the coefficient of determination by squaring r. X 0 2 4 6 8 10
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