Data Table: Income_($) Credit_Card_Balance_($) 48000                       431 38000                       1198 49000                       1148 60000                         270 58000                           69 60000                          824 36000                        2175 48000                           103 55000                             0 39000                          1127 43000                            107 38000                            366 36000                             773 40000                           1957 42000                             335 c.  Calculate the correlation coefficient for these two variables and test to determine whether there is a significant correlation at the α=0.01 level. r= _______ ​(Round to three decimal places as​ needed.)

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 11PPS
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I've already answered parts a. & b. (see image) please answer parts c. & d.

Data Table:

Income_($) Credit_Card_Balance_($)
48000                       431
38000                       1198
49000                       1148
60000                         270
58000                           69
60000                          824
36000                        2175
48000                           103
55000                             0
39000                          1127
43000                            107
38000                            366
36000                             773
40000                           1957
42000                             335

c.  Calculate the correlation coefficient for these two variables and test to determine whether there is a significant correlation at the α=0.01 level.

r= _______ ​(Round to three decimal places as​ needed.)
 
d. (see images)

 

A bank issues credit cards to its customers. A main factor in determining whether a credit card will be profitable to the bank is the average monthly balance that the
customer will maintain on the card that will be subject to finance charges. Bank analysts wish to determine whether there is a relationship between the average monthly
credit card balance and the income stated on the original credit card application form. The accompanying table contains the sample data that have been collected from
existing credit card customers. Complete parts a through d below. Use a = 0.01 where needed.
Click here to view the data table.
O D. The dependent variable is the bank's profit, and the independent variable is the credit card balance.
b. Construct a scatter plot for these data and describe what relationship appears to exist between these two variables. Choose the correct graph below.
O A.
O B.
C.
D.
Alncome
Alncome
2500
65000-
2500-
65000-
0-
20,000
0+++
20,000
65,000
20000-
65.000
20000-
2,500
Credit Card Balance
2,500
Credit Card Balance
Income
Income
There appears to be a negative relationship between x and y.
c. Calculate the correlation coefficient for these two variables and test to determine whether there is a significant correlation at the a=0.01 level.
(Round to three decimal places as needed.)
Credit C ard Balance
Credit C ard Balance
Transcribed Image Text:A bank issues credit cards to its customers. A main factor in determining whether a credit card will be profitable to the bank is the average monthly balance that the customer will maintain on the card that will be subject to finance charges. Bank analysts wish to determine whether there is a relationship between the average monthly credit card balance and the income stated on the original credit card application form. The accompanying table contains the sample data that have been collected from existing credit card customers. Complete parts a through d below. Use a = 0.01 where needed. Click here to view the data table. O D. The dependent variable is the bank's profit, and the independent variable is the credit card balance. b. Construct a scatter plot for these data and describe what relationship appears to exist between these two variables. Choose the correct graph below. O A. O B. C. D. Alncome Alncome 2500 65000- 2500- 65000- 0- 20,000 0+++ 20,000 65,000 20000- 65.000 20000- 2,500 Credit Card Balance 2,500 Credit Card Balance Income Income There appears to be a negative relationship between x and y. c. Calculate the correlation coefficient for these two variables and test to determine whether there is a significant correlation at the a=0.01 level. (Round to three decimal places as needed.) Credit C ard Balance Credit C ard Balance
What are the appropriate hypotheses to test for this correlation coefficient?
OB. Hg: p#0
HA: p=0
O A. H p20
OC. H p=0
H p#0
OD. Hgi p<0
HAi p20
O E. H, p>0
H pso
OF. Hg ps0
HA: p>0
Calculate the t-lest statistic for correlation.
(Round to three decimal places as needed.)
Transcribed Image Text:What are the appropriate hypotheses to test for this correlation coefficient? OB. Hg: p#0 HA: p=0 O A. H p20 OC. H p=0 H p#0 OD. Hgi p<0 HAi p20 O E. H, p>0 H pso OF. Hg ps0 HA: p>0 Calculate the t-lest statistic for correlation. (Round to three decimal places as needed.)
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