Test the null hypothesis that the slope is zero versus the two-sided alternative in the following setting using the alpha = 0.05 significance level: n = 30, yhat = 30.8 + 2.1x, and SEb1 = 1.05.
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Test the null hypothesis that the slope is zero versus the two-sided alternative in the following setting using the alpha = 0.05 significance level:
n = 30, yhat = 30.8 + 2.1x, and SEb1 = 1.05.
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- Determine if there is significant linear correlation at the alpha = 0.05 significance level. This is a hypothesis test for linear correlation between Foot length and Height. You can find the p-value using your calculator and the LinRegTTest command, since you have typed both lists into your calculator for question 1, or read off the p-value from the excel output. State the p-value. State the decision to reject the null hypothesis (that rho = zero) or not. State the conclusion of the hypothesis test. Foot length Height 27.8 170.5 25.7 175.3 26.7 184.8 25.9 177.8 26.4 182.3 29.2 185.4 26.8 180.3 28.1 175.3 25.4 177.8 27.9 185.4 27.5 190.5 28.8 195 26.7 175.3 26.7 175.1 25.1 172.7 28.7 182.9 29.2 189.2 27.9 185.4 28.6 193.7 23.2 165.1 24.3 166.4 26 177.8 23.8 167.6 25.1 168.3 25.4 165.7 21.9 165.1 26.2 165.1 23.8 165.1 22.2 160.2 24.6 162.6 24.6 179.1 23.7 175.9 25.6 166.4 24.1 167.6 23.8 160.1a. Interpret the effect of a three (3) unit increase in Length on the response of Weight. b. The p-value to test the null hypothesis that the slope on Length is 0 (H0 : β1 = 0), isapproximately 0. What can you say about Length being a significant explanatory variable orcovariate when explaining Weight?The lowest level of significance to reject the null hypothesis of no linear association between blood pressure and age is: OA: 0.003 OB: 0.05 OC: 0.0002 OD: 0.0001 OE: 0.04
- An auto manufacture claims that the variance of the gas mileages in a model of hybrid vehicle is 0.16. A random sample of 30 vehicles has a varience of 0.26. At a=0.05 is there enough evidence to reject the claim??The pH of rain, measured at a weather station in Michigan, was observed for 39 consecutive rain storms. The sample mean is 4.6982 and the sample variance is 0.39623. Test the research hypothesis that the mean pH is less than 5.00, with α = 0.01.Suppose that a sample of n = 12 pairs of X and Y scores has SSY = 90 and a Pearson correlation of r = +0.40. Does the regression equation predict a significant portion of the variance? Test with α = .05.(hint: SStotal = SSY; r2 = SSregression/SSTotal)