What is the null hypothesis to be tested by this analysis? Do we reject the null hypothesis?Why is the correlation in the other two cells of Table 1? CorrelationswthtwtPearson Correlation1-.022"Sig. (2-tailed).028N1000010000htPearson Correlation-.022"1Sig. (2-tailed).028N1000010000Correlation is significant at the 0.05 level (2-tailed).

Null HypothesisThe null hypothesis being tested in this correlation analysis is: H0:ρ=0 where ρ is…

Answered: Correlations wt ht wt Pearson…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Students in an AP Statistics class wanted to determine if a person's hand span is associated with the number of candies he or she can pick up from a bowl of candy. For the fourteen students in the class, each student's hand span and the number of candies he or she was able to pick up was recorded. A least- squares analysis was conducted on the number of candies versus hand span. The conditions for inference were checked and deemed reasonable. The regression analysis output is given in the table below. Predictor Constant Coef -8.74 SE Coef 10.81 T -0.81 P 0.434 Hand span 1.26 0.52 2.44 0.031 S=3.34 R-Sq = 33.1% 39. The estimate of the slope of the least-squares regression line using a 95% confidence interval is (A) 1.26 ± 2.18(0.52) (B) 1.26 ± 2.44(0.52) (C) 1.26 ± 2.18 ( (0.521 (D) 1.26 ± 1.96(0.52) (E) 1.26 ± 3.34 (0.52) √14
If a coefficient is not statistically significant, what does that mean? 1 There is omitted variable bias. 2 None of these 3 The other variables are highly correlated with the dependent variable. 4 There is no multicollinearity. 5 The dependent variable is probably not influenced by the independent variable.
Researchers were interested in assessing whether stress levels at the beginning of the semester are related to (i.e., correlated with) stress levels during finals week. To test this, stress was measured in 5 students at the start of the semester and then again at the end of the semester during finals week. Participant Stress 1 Stress 2 (X - MX) (Y - MY) (X - MX) (Y - MY) (X - MX)2 (Y - MY)2 1 22 22 -4.4 -6 2 32 34 5.6 6 3 24 25 -2.4 -3 4 28 30 1.6 2 5 26 29 -0.4 1 What is the observed correlation coefficient (i.e., r value)?
You recently completed an experiment concerning the effects of carbs on happiness. One group of 11 people are assigned a high carb diet, another group of 11 people are assigned a moderate-high carb diet, another group of 11 people are assigned a moderate-low carb diet, and a final group of 11 people are assigned a low carb diet. If I find that I fail to reject the null hypothesis, what might my next step be? Group of answer choices Change my analysis and alpha to make the finding significant and then run post-hoc tests. 1. Run multiple dependent measures t-tests to see if there are any significant differences between particular groups 2. Run multiple independent samples t-tests to see if there are any significant differences between particular groups 3. Change my hypothesis to see if I can find something significant with a different hypothesis for this study 4. Run home and binge-watch Bridgerton because there is nothing else that should be done statistically
The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ? (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ? yet. However, there is a quick way to determine if the sample evidence based on ? is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine if ? ≠ 0. We do this by comparing the value |r| to an entry in the correlation table. The value of ? in the table gives us the probability of concluding that ? ≠ 0 when, in fact, ? = 0 and there is no population correlation. We have two choices for ?: ? = 0.05 or ? = 0.01.
A 2012 survey of 417 American adults indicates that 15% of cell phone owners do their browsing on their phone rather than a computer or other device. According to an online article, a report from a mobile research company indicates that 38% of Chinese mobile web users only access the internet through their cell phones. We wish to conduct a hypothesis test to determine if these data provide strong evidence that the proportion of Americans who only use their cell phones to access the internet is less than the Chinese proportion of 38%. (a) The Null Hypothesis, in mathematical symbols, is: H0: p = ______ (b) The Alternative Hypothesis, in mathematical symbols, is: HA : p = _______ In both the null and alternative hypotheses, the symbol ( p ) is the proportion of American adult cell phone owners who do their browsing on their phone. (c) The standard error based on the null hypothesis is... :________ (d) Our data indicates a proportion of Americans who use their phones to browse is…
Students in an AP Statistics class wanted to determine if a person's hand span is associated with the number of candies he or she can pick up from a bowl of candy. For the fourteen students in the class, each student's hand span and the number of candies he or she was able to pick up was recorded. A least- squares analysis was conducted on the number of candies versus hand span. The conditions for inference were checked and deemed reasonable. The regression analysis output is given in the table below. Predictor Constant Coef -8.74 SE Coef T P 10.81. -0.81 0.434 Hand span 1.26 0.52 2.44 0.031 S=3.34 R-Sq 33.1%
The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ? (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ? yet. However, there is a quick way to determine if the sample evidence based on ? is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine if ? ≠ 0. We do this by comparing the value |r| to an entry in the correlation table. The value of ? in the table gives us the probability of concluding that ? ≠ 0 when, in fact, ? = 0 and there is no population correlation. We have two choices for ?: ? = 0.05 or ? = 0.01. (a) Look at the data below regarding the variables x = age of a Shetland pony and y = weight of that pony. Is the value of |r| large enough to conclude that weight and age of Shetland ponies are correlated? Use ? = 0.05. (Round your answer for r to four decimal…
Provide formula for a significance test of Pearson's correlation ?
3) Over repeated samples, the sample mean is considered a random variable. Is this statement TRUE or FALSE? Select one: True False 4) If the sample correlation coefficient has a value different from zero, this automatically means that the correlation in the population is also different from zero. Is this statement correct? Explain.
A researcher hypothesizes that there is a positive correlation between the hours spent studying and the final exam score. They collect data from 20 students and compute the Pearson correlation coefficient, r, to be 0.75. Using a significance level of 0.05, test the hypothesis that there is a significant correlation between the hours spent studying and the final exam score.

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Correlations wt ht wt Pearson Correlation 1 -.022" Sig. (2-tailed) .028 N 10000 10000 ht Pearson Correlation -.022" 1 Sig. (2-tailed) .028 N 10000 10000 Correlation is significant at the 0.05 level (2- tailed).