Ms. Arceo studies if age correlates with the average number of hours of sleep, so she selected a random sample of size 11 and surveyed the needed data.age(x)3356 24 4 27 56hours of sleep (y) 1012810STEP 2:α = 0.01two tailed testdf-[e]Critical value/s: [f]STEP 1:Ho: There is [c] between age and number of hours of sleep.Ha: There is [d] between age and number of hours of sleep.STEP 3:What is the computed test value? [g]Test the significance of the correlation coefficient at 0.01 level of significance.Correlation coefficient r: [a]For the sample data, there is a [b] correlation between age and number of hours of sleep.STEP 4:Decision: [h]7STEP 5:Conclusion:98There is [i] between age and number of hours of sleep.[a] choose your answer...choose your answer...choose your answer...11 7[b] choose your answer...✓ [f] choose your answer...9 8Testing of Significance of r[c] choose your answer...✓[g] choose your answer...[d] choose your answer... ✓ [e][h] choose your answer...✓

Level of significance=0.01Age Hours of sleep 31031258672104948211775965To calculate correlation…

Answered: Ms. Arceo studies if age correlates…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 0 3 1 2 5 1 8 GPA 3.3 2.9 3.4 3.3 2.5 2.8 0.7 1. The p-value is: _____ (Round to four decimal places) 2. Use a level of significance of α=0.05 to state the conclusion of the hypothesis test in the context of the study (pick one). a. There is statistically significant evidence to conclude that there is a correlation between the number of lovers students have had in their lifetimes and their GPA. Thus, the regression line is useful. b. There is statistically significant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. c. There is statistically insignificant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. d. There is statistically insignificant…
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Find the Q1, Q3 and IQR of the 1% hydrogen peroxide
After you estimate a simple linear regression you obtain the following sample regression function: Y₁ = 8.8 +0.7091 Xį With an r² of 0.784. The observed dependent variable used for the regression is: Y 9 675 40 40 40 6 5 5 5 5 1 1 Compute the sample variance of X? 8.45 10.79 9.17 7.19 Cannot be computed with the provided information.
The data in personalities is bivariate normally distributed Carry out a formal t-test for the association between extroversion and neuroticism in personalities H0: The population correlation coefficient is 0. HA: The population correlation coefficient is not 0. What is the value of the t-statistic corresponding to this test? Carry out a formal t-test for the association between extroversion and neuroticism in personalities. H0: The population correlation coefficient is 0. HA: The population correlation coefficient is not 0. What is the critical value of the t-statistic required to reject the null hypothesis at a confidence level of 0.05
You run a regression analysis on a bivariate set of data (n=28). You obtain the regression equation y=3.542x+23.399 with a correlation coefficient of r=0.877 (which is significant at α=0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 10 on the response variable.What is the predicted explanatory value?x = (Report answer accurate to one decimal place.)
You run a regression analysis on a bivariate set of data (n=15). You obtain the regression equationy=2.339x+22.015 with a correlation coefficient of r=0.886 (which is significant at α=0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 150 on the response variable.What is the predicted explanatory value?x = (Report answer accurate to one decimal place.)
(c) Calculate the test statistic.

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