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Many of today's leading technology companies such as Google and Facebook are based on research projects that were conducted at universities. In this question, we

Many of today's leading technology companies such as Google and Facebook are based on research projects that were conducted at universities. In this question, we are interested to analyze various factors that impact innovation at universities. The available data includes various research-related factors collected from 143 universities in the United States. The outcome variable of interest is "Startups", which measures the number of startups founded by graduates from that particular university. The predictors are the research expenditure (in million dollars), the number of patents generated from research, and the age of the university's technology transfer office (in years)1 . Answer the following question based on the data provided. Consider a 5% significance level where needed.

The data is the following:

Startups Research
1 145.5236
1 237.5212
1 146.9840
1 304.2250
12 343.4238
0 10.7120
9 26.3600
0 14.8700
10 229.2800
3 139.2837
3 302.6129
10 640.0000
5 668.2275
1 174.1091
4 102.2090
7 678.1842
0 13.2000
1 16.1920
0 30.7770
3 390.9652
0 43.2491
3 206.5418
5 79.8832
0 144.9570
9 536.4125
12 660.0815
2 404.6215
2 251.6740
12 1183.7680
1 819.2889
3 95.8786
0 18.4444
2 391.7670
1 19.4060
20 1319.0000
0 57.0852
1 134.2000
2 161.1623
3 356.7670
2 60.3560
4 210.9510
2 96.1506
0 296.3800
0 89.7920
0 120.3234
6 310.6990
5 366.1370
0 115.5130
2 56.7275
5 702.5635
3 25.9776
2 138.7592
4 279.8494
1 188.0560
1 717.2440
0 40.1469
11 495.0990
1 63.1974
10 784.3243
2 83.5624
2 323.4040
0 106.8504
9 694.2175
2 29.1348
0 150.3760
1 582.3650
1 404.6150
0 94.0318
2 151.0077
1 146.8751
5 49.5978
3 32.8460
10 65.3200
6 547.1974
0 115.5379
1 110.8750
55 4403.6620
2 108.0000
0 317.5155
0 211.3931
11 661.0000
3 161.3362
0 166.3700
14 483.7980
2 350.2990
0 211.7782
1 84.4900
0 81.5322
11 830.7790
0 293.5640
2 197.7970
8 242.9660
3 164.1230
0 43.2130
2 377.4180
0 66.8014
3 346.3693
2 435.2470
0 325.3000
13 875.7535
1 583.5240
3 54.7090
6 354.7636
3 342.6482
0 98.8208
6 197.6285
2 33.1258
5 619.6000
3 29.8081
0 31.8954
0 103.3000
1 158.9638
0 101.3423
2 667.3547
3 641.6260
6 361.6022
0 28.0793
5 185.1979
0 22.7420
5 298.5000
5 484.6000
2 246.3971
10 527.1413
2 197.2517
0 201.3230
2 153.4613
2 377.1696
2 66.6105
3 59.5830
20 273.0059
5 90.6422
2 257.6510
9 1026.7885
0 14.4730
0 148.2570
4 444.3325
3 148.6550
3 199.6359
6 942.0000
2 148.6864
2 140.8622
1 249.2100
1 154.3820

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