The following data show the alcohol expenditure, income, number of adults in each of 17 houscholds and whether or not the family contains at least one person who smokes. Family Alcohol expenditure | Income Adult (X) 26,17 Smoker (Y) 487 574 439 1 2 19.49 17.87 3 4 5 6. 16.90 4,21 32.08 30.19 22.62 367 299 743 433 2 1 2 8 547 303 370 2 9,86 1 10 13.32 1 11 12 13 9,24 47.35 26.80 33.44 21.41 16.06 24.98 299 1 1 1 531 506 613 4 2 14 15 472 253 374 16 1 17 a. Draw an XY plot of the data and comment. b. From the chart, would you expect the line of best fit to slope up or down? In theory, which way should it slope? c. Calculate the correlation coefficient between alcohol spending and income. d. Is the coefficient significantly different from zero? What is the implication of the result?

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The following data show the alcohol expenditure, income, number of adults in each of 17
households and whether or not the family contains at least one person who smokes.
Family Alcohol expenditure Income Adult
(X)
26.17
Smoker
(Y)
487
1
2
2.
19.49
574
2
3
17.87
439
1
1
4
16.90
367
5
4.21
299
1
6.
32.08
743
2
1
7.
30.19
433
2
8
22,62
547
9.86
303
1
10
13.32
370
11
9.24
299
1
47.35
26.80
12
531
1
13
506
2
1
14
33.44
613
15
21.41
472
3
16
16.06
253
1
17
24.98
374
a. Draw an XY plot of the data and comment.
b. From the chart, would you expect the line of best fit to slope up or down? In theory,
which way should it slope?
c. Calculate the correlation coefficient between alcohol spending and income.
d. Is the coefficient significantly different from zero? What is the implication of the
result?
Transcribed Image Text:The following data show the alcohol expenditure, income, number of adults in each of 17 households and whether or not the family contains at least one person who smokes. Family Alcohol expenditure Income Adult (X) 26.17 Smoker (Y) 487 1 2 2. 19.49 574 2 3 17.87 439 1 1 4 16.90 367 5 4.21 299 1 6. 32.08 743 2 1 7. 30.19 433 2 8 22,62 547 9.86 303 1 10 13.32 370 11 9.24 299 1 47.35 26.80 12 531 1 13 506 2 1 14 33.44 613 15 21.41 472 3 16 16.06 253 1 17 24.98 374 a. Draw an XY plot of the data and comment. b. From the chart, would you expect the line of best fit to slope up or down? In theory, which way should it slope? c. Calculate the correlation coefficient between alcohol spending and income. d. Is the coefficient significantly different from zero? What is the implication of the result?
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