The data below shows the selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between the two variables? Selling Price (x) List Price (y) 400 305 378 433 458 478 316 352 419 334 412 317 388 436 490 476 325 366 433 342 O A. Ho: p=0 О В. Но: р30 H4:p<0 H1: p#0 O D. Ho:p=0 H1:p>0 O C. Ho: p#0 H:p=0 Construct a scatterplot. Choose the correct graph below. O A. OB. OC. OD. Ay 500- Ay Av 500- 500- Q Ay 500- of 400- olo 400- 400- 400- 300 300 300+ 300 -> 500 300 300 +> 500 300 300 400 500 400 400 400 500 The linear correlation coefficient r is (Round to three decimal places as needed.) The P-value is. (Round to three decimal places as needed.)
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
 alt="The data below shows the selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold. Construct a scatterplot, find the value of the
linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between the two variables?
Selling Price (x)
List Price (y)
400
305
378
433
458
478
316
352
419
334
412
317
388
436
490
476
325
366
433
342
Ο Α. Ho: ρ 0
В. Но: Р3D0
H1:p<0
H:p#0
O C. Ho: p+0
D. Ho: p=0
H1:p=0
H:p>0
Construct a scatterplot. Choose the correct graph below.
O A.
В.
С.
D.
Ay
500-
Ay
Ay
500-
500-
500-
Lo
Lo
400-
400-
400-
400-
ol
to
X
300-
300
300+
300
300+
300
300-
300
->
400
500
400
500
400
500
400
500
The linear correlation coefficient r is
(Round to three decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
of
of
of
LoP d |
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