A study was done to see whether getting radio airtime and spending money on advertisements accurately predicts the number of album copies sold. A random sample of 200 artists’ albums were tracked on the number of times their songs play on the central radio station, how much money (in thousands) they spent on advertisements, as well as the number (in thousands) of album copies were sold. A record company wanted to determine if there was a positive relationship between album sales and the other two variables (money spent on advertisements and number of albums sold) sales advertisements airtime 330 10.256 43 120 985.685 28 360 1445.56 35 270 1188.19 33 220 574.513 44 170 568.954 19 70 471.814 20 210 537.352 22 200 514.068 21 300 174.093 40 290 1720.81 32 70 611.479 20 150 251.192 24 190 97.972 38 240 406.814 24 100 265.398 25 250 1323.29 35 210 196.65 36 280 1326.6 27 230 1380.69 33 210 792.345 33 230 957.167 28 320 1789.66 30 210 656.137 34 230 613.697 49 250 313.362 40 60 336.51 20 330 1544.9 42 150 68.954 35 150 785.692 8 180 125.628 49 80 377.925 19 180 217.994 42 130 759.862 6 320 1163.44 36 280 842.957 32 200 125.179 28 130 236.598 25 190 669.811 34 150 612.234 21 230 922.019 34 310 50 63 340 2000 31 240 1054.03 25 180 385.045 42 220 1507.97 37 40 102.568 25 190 204.568 26 290 1170.92 39 340 689.547 46 250 784.22 36 190 405.913 12 120 179.778 2 230 607.258 29 190 1542.33 33 210 1112.47 28 170 856.985 10 310 836.331 38 90 236.908 19 140 1077.86 13 300 579.321 30 340 1500 38 170 731.364 22 100 25.689 23 200 391.749 22 80 233.999 20 100 275.7 18 70 56.895 37 50 255.117 16 240 566.501 32 160 102.568 26 290 250.568 53 140 68.594 28 210 642.786 32 300 1500 24 230 102.563 37 280 756.984 30 160 51.229 19 200 644.151 47 110 15.313 22 110 243.237 10 70 256.894 1 100 22.464 1 190 45.689 39 70 724.938 8 360 1126.46 38 360 1985.12 35 300 1837.52 40 120 135.986 22 150 237.703 27 220 976.641 31 280 1452.69 19 300 1600 24 140 268.598 1 290 900.889 38 180 982.063 26 140 201.356 11 210 746.024 34 250 1132.88 55 250 1000 5 120 75.896 34 290 1351.25 37 60 202.705 13 140 365.985 23 290 305.268 54 160 263.268 18 100 513.694 2 160 152.609 11 150 35.987 30 140 102.568 22 230 215.368 36 230 426.784 37 30 507.772 9 80 233.291 2 190 1035.43 12 90 102.642 5 120 526.142 14 150 624.538 20 230 912.349 57 150 215.994 19 210 561.963 35 180 474.76 22 140 231.523 16 360 678.596 53 10 70.922 4 240 1567.55 29 270 263.598 43 290 1423.57 26 220 715.678 28 230 777.237 37 220 509.43 32 240 964.11 34 260 583.627 30 170 923.373 15 130 344.392 23 270 1095.58 31 140 100.025 21 60 30.425 28 210 1080.34 18 210 799.899 28 240 1071.75 37 210 893.355 26 200 283.161 30 140 917.017 10 90 234.568 21 120 456.897 18 100 206.973 14 360 1294.1 38 180 826.859 36 150 564.158 32 110 192.607 9 90 10.652 39 160 45.689 24 230 42.568 45 40 20.456 13 60 635.192 17 230 1002.27 32 230 1177.05 23 120 507.638 0 150 215.689 35 120 526.48 26 60 26.895 19 280 883.877 26 120 9.104 53 230 103.568 29 230 169.583 28 40 429.504 17 140 223.639 26 360 145.585 42 210 985.968 17 260 500.922 36 250 226.652 45 200 1051.17 20 150 68.093 15 250 1547.16 28 100 393.774 27 260 804.282 17 210 801.577 32 290 450.562 46 220 26.598 47 70 179.061 19 110 345.687 22 250 295.84 55 320 2271.86 31 300 1134.58 39 180 601.434 21 180 45.298 36 200 759.518 21 320 832.869 44 140 56.894 27 100 709.399 16 120 56.895 33 230 767.134 33 150 503.172 21 250 700.929 35 190 910.851 26 240 888.569 14 250 800.615 34 230 1500 11 110 785.694 20 1) Test assumptions and make a decision (please provide written evidence to support your decision): 2) Inferential statistic(s) and p-value(s): 3) Decision:

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 15PPS
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A study was done to see whether getting radio airtime and spending money on advertisements accurately predicts the number of album copies sold. A random sample of 200 artists’ albums were tracked on the number of times their songs play on the central radio station, how much money (in thousands) they spent on advertisements, as well as the number (in thousands) of album copies were sold. A record company wanted to determine if there was a positive relationship between album sales and the other two variables (money spent on advertisements and number of albums sold) 

sales

advertisements

airtime

330

10.256

43

120

985.685

28

360

1445.56

35

270

1188.19

33

220

574.513

44

170

568.954

19

70

471.814

20

210

537.352

22

200

514.068

21

300

174.093

40

290

1720.81

32

70

611.479

20

150

251.192

24

190

97.972

38

240

406.814

24

100

265.398

25

250

1323.29

35

210

196.65

36

280

1326.6

27

230

1380.69

33

210

792.345

33

230

957.167

28

320

1789.66

30

210

656.137

34

230

613.697

49

250

313.362

40

60

336.51

20

330

1544.9

42

150

68.954

35

150

785.692

8

180

125.628

49

80

377.925

19

180

217.994

42

130

759.862

6

320

1163.44

36

280

842.957

32

200

125.179

28

130

236.598

25

190

669.811

34

150

612.234

21

230

922.019

34

310

50

63

340

2000

31

240

1054.03

25

180

385.045

42

220

1507.97

37

40

102.568

25

190

204.568

26

290

1170.92

39

340

689.547

46

250

784.22

36

190

405.913

12

120

179.778

2

230

607.258

29

190

1542.33

33

210

1112.47

28

170

856.985

10

310

836.331

38

90

236.908

19

140

1077.86

13

300

579.321

30

340

1500

38

170

731.364

22

100

25.689

23

200

391.749

22

80

233.999

20

100

275.7

18

70

56.895

37

50

255.117

16

240

566.501

32

160

102.568

26

290

250.568

53

140

68.594

28

210

642.786

32

300

1500

24

230

102.563

37

280

756.984

30

160

51.229

19

200

644.151

47

110

15.313

22

110

243.237

10

70

256.894

1

100

22.464

1

190

45.689

39

70

724.938

8

360

1126.46

38

360

1985.12

35

300

1837.52

40

120

135.986

22

150

237.703

27

220

976.641

31

280

1452.69

19

300

1600

24

140

268.598

1

290

900.889

38

180

982.063

26

140

201.356

11

210

746.024

34

250

1132.88

55

250

1000

5

120

75.896

34

290

1351.25

37

60

202.705

13

140

365.985

23

290

305.268

54

160

263.268

18

100

513.694

2

160

152.609

11

150

35.987

30

140

102.568

22

230

215.368

36

230

426.784

37

30

507.772

9

80

233.291

2

190

1035.43

12

90

102.642

5

120

526.142

14

150

624.538

20

230

912.349

57

150

215.994

19

210

561.963

35

180

474.76

22

140

231.523

16

360

678.596

53

10

70.922

4

240

1567.55

29

270

263.598

43

290

1423.57

26

220

715.678

28

230

777.237

37

220

509.43

32

240

964.11

34

260

583.627

30

170

923.373

15

130

344.392

23

270

1095.58

31

140

100.025

21

60

30.425

28

210

1080.34

18

210

799.899

28

240

1071.75

37

210

893.355

26

200

283.161

30

140

917.017

10

90

234.568

21

120

456.897

18

100

206.973

14

360

1294.1

38

180

826.859

36

150

564.158

32

110

192.607

9

90

10.652

39

160

45.689

24

230

42.568

45

40

20.456

13

60

635.192

17

230

1002.27

32

230

1177.05

23

120

507.638

0

150

215.689

35

120

526.48

26

60

26.895

19

280

883.877

26

120

9.104

53

230

103.568

29

230

169.583

28

40

429.504

17

140

223.639

26

360

145.585

42

210

985.968

17

260

500.922

36

250

226.652

45

200

1051.17

20

150

68.093

15

250

1547.16

28

100

393.774

27

260

804.282

17

210

801.577

32

290

450.562

46

220

26.598

47

70

179.061

19

110

345.687

22

250

295.84

55

320

2271.86

31

300

1134.58

39

180

601.434

21

180

45.298

36

200

759.518

21

320

832.869

44

140

56.894

27

100

709.399

16

120

56.895

33

230

767.134

33

150

503.172

21

250

700.929

35

190

910.851

26

240

888.569

14

250

800.615

34

230

1500

11

110

785.694

20

1) Test assumptions and make a decision (please provide written evidence to support your decision):

2) Inferential statistic(s) and p-value(s):

3) Decision:

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