DUE

Analysis

GPA	Phone Usage (in mins per day)
3.98	60		Summary Statsistics (GPA)			Summary Statistis -Phone Usage
3.92	90
2.61	300		Mean	3.1905		Mean	347.625
2.15	360		Standard Error	0.0970520281		Standard Error	30.2674973235
3.44	480		Median	3.245		Median	357.5
4	75		Mode	3.96		Mode	300
3.4	570		Standard Deviation	0.6138109205		Standard Deviation	191.4284612309
2.17	600		Sample Variance	0.3767638462		Sample Variance	36644.8557692308
2.67	240		Kurtosis	-0.5501286649		Kurtosis	-0.883919136
2.79	515		Skewness	-0.3795528054		Skewness	0.0348694488
3.16	300		Range	2.37		Range	690
3.25	360		Minimum	1.83		Minimum	30
3.48	45		Maximum	4.2		Maximum	720
2.89	365		Sum	127.62		Sum	13905
1.83	720		Count	40		Count	40
3.73	330
3.24	410		Hypothesis Testing
3.96	30		Research Question	Is there a significant correlation between the time spent on phone and their GPA?
3.72	660		i.).Hypotheses:	H0:ρ=0 ,there is no significant correlation between the time spent on phone and their GPA?
4.1	120			H1:ρ≠0 ,there is significant correlation between the time spent on phone and their GPA?
3.1	450
2.88	690		ii.). Significance level,α =	0.05
2.56	300		ii.). Test and test statistic	Two tailed		Test statistic,t=[r*sqrt.(n-2)]/[sqrt.(1-r^2)]
3.29	480			r=	-0.5797234269
3.14	150			n=	40
3.1	485			test statistic,t=	-4.3858576168
3.46	305
2.65	510		iii.).Rejection Regions	degrees of freedom,df =		38
2.76	400			Critical values	t=	-2.0243941639
3.7	135				t=	2.0243941639
1.98	600			Critical regions	t<-2.02439164	<= rejection on the left
3.96	540				t>2.02439165	<= rejection on the right
2.35	360
3.3	315		iv.).Decission	Test statistic< critical value=-2.02439164.The test statistic falls in the critical region.
3.78	135			Reject the null hypothesis ,H0
3.47	130
2.73	480		v.).Conclusion;	At 5% significance level, we conclude that there is statistically significant correlation between the time spent on phone and their GPA
3.22	355
3.5	335
4.2	120

Scatterplot

60 90 300 360 480 75 570 600 240 515 300 360 45 365 720 330 410 30 660 120 450 690 300 480 150 485 305 510 400 135 600 540 360 315 135 130 480 355 335 120 3.98 3.92 2.61 2.15 3.44 4 3.4 2.17 2.67 2.79 3.16 3.25 3.48 2.89 1.83 3.73 3.24 3.96 3.72 4.0999999999999996 3.1 2.88 2.56 3.29 3.14 3.1 3.46 2.65 2.76 3.7 1.98 3.96 2.35 3.3 3.78 3.47 2.73 3.22 3.5 4.2

Phone Usage (in mins per day))

GPA

Data org.

GPA	Phone Usage (in mins per day)			Frequency Table (GPA)					Frequency Table(Phone Usage)
3.98	60			Class	Frequency				Class	Frequency
3.92	90			1.83-2.32	4				30-189	11
2.61	300			2.33-2.82	8				190-349	8
2.15	360			2.83-3.32	11				350-509	12
3.44	480			3.33-3.82	10				510-669	7
4	75			3.83-4.32	7				670-829	2
3.4	570
2.17	600
2.67	240
2.79	515
3.16	300
3.25	360
3.48	45
2.89	365
1.83	720
3.73	330
3.24	410
3.96	30
3.72	660
4.1	120
3.1	450
2.88	690
2.56	300
3.29	480
3.14	150
3.1	485
3.46	305
2.65	510
2.76	400
3.7	135
1.98	600
3.96	540
2.35	360
3.3	315
3.78	135
3.47	130
2.73	480
3.22	355
3.5	335
4.2	120

Histogram for Phonr Usage (mins)

30-189 190-349 350-509 510-669 670-829 11 8 12 7 2

Class

Frequency

Histogram for GPA

Frequency 1.83-2.32 2.33-2.82 2.83-3.32 3.33-3.82 3.83-4.32 4 8 11 10 7

Class

Frequency