The following data for the dependent variacle, y, and the independent varibale, x, have been collected using simple rando sampling:
x y A.) Construct a scatter plot for these data. Based on the scatter plot, how would you
10 120 describe the relationship berween the two varibles?
14 130 B.) Compute the correlation corfficient.
Because of the current concern over credit card balances, a back’s chief finacial officer is interested in whether there is a relationship between account balances and the number of times a card is used each month. A random sample of 50 accounts was selected. The account balance and the number of charges during the past month were the two vbarivles recorded. Teh correelation coefficient foe the two varibles was -0.23.
A.) Discuss what the r= -0.23 measures. Make sure to frame your discussion in terms of the two variavles mentioned here.
B.) Using an α = 0.10 level, test to determine whether there is a significant linear relationship between account balance and the number of card uses during the past month. State the null and alternative hypotheses and show the decision rule.
C.) Consider the decision you reached in pat b. Describe the type of error you could have made in the context of this problem.
Amazon.comas become on of the most successful online merchants. Two measures of its success are sales and net income/loss figures (all figures in $million). These values for the years 1995-2007 are shown as follows.
Year Net Income/Loss Sales
1995 -0.3 0.5
1996 -5.7 15.7
1997 -27.5 147.7
1998 -124.5 609.8
1999 -719.9 1,639.8
2000 -1,411.2 2,761.9
2001 -567.3 3,122.9
2002 -149.1 3,933
2003 35.3 5,263.7
2004 588.5 6,921
2005 359 8,490
2006 190 10,711
2007 476 14,835
A.) Produce a scatter plot for Amazon’s net income/loss and sales figures for the period 1995 to 2007. Does there appear to be a linear relationship between these two variables? Explain your response.
B.) Calculate the correlation coefficient between Amazon/s net income/loss and sales figures for the period 1995 to 2007.
C.) Conduct a hypotheses test to dertermine if a positive correlation exists between Amazon’s net income/loss and sales figures. Use a significance level of 0.05 and assume that these figures form a random sample.
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