Question

Does the population slope differ significantly from 0? To answer this question, state the hypotheses, identify the p-value, and interpret the result. Be very detailed here.

X	Y
1870	3.38
1330	1.16
1760	1.58
1520	2.65
1300	1.98
1520	2.39
1640	2.49
1490	2.81
1300	2.95
1360	1.69
1940	3.49
1730	2.8
1790	2.95
1780	3.8
1730	2.64
1380	2.36
1580	3.1
1900	1.96
1640	3.08
1540	2.24
1350	2.59
1380	2.43
1780	1.95
1700	2.07
1610	2.34
1720	3.59
2070	3.59
1210	2.12
1720	2.48
1510	2.37
1790	2.1
2100	2.55
1690	3.01
1490	2.67
1760	1.87
1540	2.21
1810	2.37
1430	3.37
1540	1.84
1270	2.96

Answer 1

1 0 1614.2500 null hypothesis Alternate Hypothesis: for 0.05 level,two tailed test and n-2-38 degree of freedom, critical t= Decision rule: 2.0244 reject Ho if absolute value of test statistic It>2.024 s-(vs.sw correlation coefficient r= 0.286 test statistic: 1.8376 n- 2 0.0739

as p value is not less than 0.05 level we can not reject null hypothesis

we do not have sufficient evidence at 0.05 level to conclude that population slope differ significantly from 0