Refer to the data below and: a) Compute the coefficient of determination. b) Prepare an ANOVA table and use the F statistic to test the null hypothesis that β1 = 0. Let α = .05. c) Use the t statistic to test the null hypothesis that β1 = 0 at the .05 level of significance. d) Determine the p value for each hypothesis test. e) State your conclusions in terms of the problem. d) Construct the 95 percent confidence interval for β1. X Y 1.800000 1.600000 1.600000 1.900000 2.500000 2.800000 1.900000 2.400000 1.300000 1.500000 2.300000 1.800000 1.200000 1.300000 2.300000 2.400000 2.000000 2.100000 1.500000 1.500000 2.100000 2.400000 1.500000 1.500000 1.500000 1.700000 1.800000 2.100000 1.000000 1.200000 2.100000 1.900000 1.600000 1.600000 1.700000 1.600000 2.000000 1.900000 1.800000 1.600000 1.300000 4.100000 1.500000 1.900000 3.600000 2.100000 2.400000 2.200000 2.200000 2.300000 2.700000 2.200000 2.900000 3.100000 2.000000 2.200000 1.000000 1.200000 2.400000 2.600000 2.400000 1.200000 2.300000 2.300000 2.000000 1.600000 3.300000 3.800000 1.900000 1.600000 1.800000 1.500000 2.800000 1.800000 2.500000 1.500000 .800000 1.000000 1.300000 1.200000 3.700000 1.400000 2.400000 1.600000 4.100000 3.200000 2.400000 1.200000 2.300000 2.300000 3.100000 1.600000 1.500000 1.400000 3.600000 2.100000 2.500000 1.700000 2.100000 1.700000 1.800000 1.200000 1.500000 1.300000 2.500000 1.100000 1.500000 1.200000 1.500000 1.100000 1.600000 1.200000 1.400000 1.400000 4.000000 2.300000 2.000000 1.200000 2.500000 1.500000 3.100000 2.400000 1.700000 1.800000 1.800000 1.600000 1.900000 1.700000 5.300000 4.200000 1.600000 1.600000 1.600000 1.400000 3.300000 3.300000 1.500000 1.500000 2.200000 2.800000 1.100000 1.600000 2.600000 2.600000 6.400000 5.000000 1.500000 1.400000 3.000000 2.800000 2.600000 2.300000 1.200000 1.200000 2.100000 1.900000 1.100000 1.100000 1.000000 1.000000 1.400000 1.500000 1.700000 1.300000 1.200000 1.100000 2.500000 2.400000 1.200000 1.300000 2.500000 2.900000 1.900000 1.700000 1.800000 1.700000 1.200000 1.100000 1.300000 1.100000
Refer to the data below and:
a) Compute the coefficient of determination.
b) Prepare an ANOVA table and use the F statistic to test the null hypothesis that β1 = 0. Let α = .05.
c) Use the t statistic to test the null hypothesis that β1 = 0 at the .05 level of significance.
d) Determine the p value for each hypothesis test.
e) State your conclusions in terms of the problem.
d) Construct the 95 percent confidence interval for β1.
X Y
1.800000 1.600000
1.600000 1.900000
2.500000 2.800000
1.900000 2.400000
1.300000 1.500000
2.300000 1.800000
1.200000 1.300000
2.300000 2.400000
2.000000 2.100000
1.500000 1.500000
2.100000 2.400000
1.500000 1.500000
1.500000 1.700000
1.800000 2.100000
1.000000 1.200000
2.100000 1.900000
1.600000 1.600000
1.700000 1.600000
2.000000 1.900000
1.800000 1.600000
1.300000 4.100000
1.500000 1.900000
3.600000 2.100000
2.400000 2.200000
2.200000 2.300000
2.700000 2.200000
2.900000 3.100000
2.000000 2.200000
1.000000 1.200000
2.400000 2.600000
2.400000 1.200000
2.300000 2.300000
2.000000 1.600000
3.300000 3.800000
1.900000 1.600000
1.800000 1.500000
2.800000 1.800000
2.500000 1.500000
.800000 1.000000
1.300000 1.200000
3.700000 1.400000
2.400000 1.600000
4.100000 3.200000
2.400000 1.200000
2.300000 2.300000
3.100000 1.600000
1.500000 1.400000
3.600000 2.100000
2.500000 1.700000
2.100000 1.700000
1.800000 1.200000
1.500000 1.300000
2.500000 1.100000
1.500000 1.200000
1.500000 1.100000
1.600000 1.200000
1.400000 1.400000
4.000000 2.300000
2.000000 1.200000
2.500000 1.500000
3.100000 2.400000
1.700000 1.800000
1.800000 1.600000
1.900000 1.700000
5.300000 4.200000
1.600000 1.600000
1.600000 1.400000
3.300000 3.300000
1.500000 1.500000
2.200000 2.800000
1.100000 1.600000
2.600000 2.600000
6.400000 5.000000
1.500000 1.400000
3.000000 2.800000
2.600000 2.300000
1.200000 1.200000
2.100000 1.900000
1.100000 1.100000
1.000000 1.000000
1.400000 1.500000
1.700000 1.300000
1.200000 1.100000
2.500000 2.400000
1.200000 1.300000
2.500000 2.900000
1.900000 1.700000
1.800000 1.700000
1.200000 1.100000
1.300000 1.100000
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