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).
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What is the null hypothesis to be tested by this analysis? Do we reject the null hypothesis?
Why is the
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- When results are not statistically significant, why do you conclude that it is plausible that the two variables are independent rather than concluding that the variables are different independent?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) √14If 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.
- 08 Siti has created a dataset containing 10 rows of data, each row signifies one person. She has two variables, the first is Age (in years) and the other is Cholesterol levels (in mmol/L). She wants to find out if there is any relationship between these two variables using the Pearson correlation in SPSS. a) State the null and alternative hypotheses. b) Based on the Pearson correlation results below from SPSS, make a decision regarding the null hypotheses. Age Pearson Correlation Sig. (2-talled) N Age 1 10 .882 Cholesterol Pearson Correlation Sig. (2-talled) N Correlation is significant at the 0.01 level (2-talled). Cholesterol .882 .001 10 .001 10 1 10Researchers 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…What is the interpretation of a Pearson's r correlation coefficient value of 0.8?
- 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 ?
