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

Answer the following question:

a) Make a boxplot of the number of startups (Startups variable) and produce a scatterplot of this variable against the research expenditures (Research variable). Are there any apparent outliers in the data (Talk about the residuals, leverage and influence)?