Compute the Pearson correlation for the following data. X Y 2 3 3 5 4 5 A researcher is interested in seeing if there is a significant relationship between the number of hours of sleep a night (X) and Productivity scores (Y). She conducts a study to test her hypothesis. Please use the data set above. a. Use a two-tailed test with a= .05. Conduct the four steps for hypothesis testing and label each step: Stepl, Step 2, Step 3, and Step 4. b. Write a sentence regarding your results. c. Calculate the regression equation for this data set. d. What are the predicted Y scores for the following X scores: X=1, X=7, X=10, X=12. 14242

Compute the Pearson correlation for the following data. X Y 2 3 3 5 4 5 A researcher is interested in seeing if there is a significant relationship between the number of hours of sleep a night (X) and Productivity scores (Y). She conducts a study to test her hypothesis. Please use the data set above. a. Use a two-tailed test with a= .05. Conduct the four steps for hypothesis testing and label each step: Stepl, Step 2, Step 3, and Step 4. b. Write a sentence regarding your results. c. Calculate the regression equation for this data set. d. What are the predicted Y scores for the following X scores: X=1, X=7, X=10, X=12. 14242

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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Q1 Collect sufficient data about any two quantitative variables (logically correlated) using reasonable sets of values (At least 20 values). Use Microsoft Excel and answer the following: First: Determine the independent variable and the dependent variable. Second: Make the correlation analysis, determine the correlation coefficient, and interpret it. Third: Conduct the regression analysis and answer the following questions: What is the type of regression in your example? Write the sample size. Find the degrees of freedom. Find the value of the coefficient of determination, and interpret it. Is your model valid? Why? Is the independent variable having a significant effect on the dependent variable? Why? Write down the regression line equation. Estimate the value of ŷ at any value of X.
You are a researcher interested in crime and crime rates. You’ve collected a sample of data from the county level for your state. You hypothesize that the rate of violent crimes will be higher in counties with bigger populations. Based on the below Pearson correlation results, is your hypothesis supported or rejected?
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A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced 68 56 61 Sprout Percent 60.6 69.2 = 0 48 64.7 64.6 #0 a. Find the correlation coefficient: b. The null and alternative hypotheses for correlation are: H₂: ? H₁: 2 The p-value is: 63 64.1 40 Round to 2 decimal places. 63 62 65.1 68.4 84 (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically significant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the regression line is useful. O There is statistically insignificant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds. O There is statistically significant…
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Carefully read the description of the following two studies (A and B). For each study answer the following questions: Should a correlation analysis or multiple regression be used to analyze the results. Describe the basis for your answer – why did you select this test. Study A Dr. Banner want to determine whether his patients’ age is a factor in compliance with dialysis. He hypothesizes that older patients will be less compliant with dialysis. In other words, he believes the older the patient the more dialysis appointment they miss. Study B Dr. Banner’s intern does not agree. She believes there are other factors, along with age, that influence compliance such as race anxiety and mistrust of health care, side effects of treatment and issues related to culture. She wants to know who much each of these factors contribute to non-compliance.
Experimental or Observational: A group of students is interested in knowing if there is a correlation between the amount of sleep kids get and their performance on the SAT. They have 20 kids sleep for 5 hours, 20 kids sleep for 6 hours, 20 kids sleep for 7 hours, and 20 kids sleep for 8 hours. They get their SAT scores and analyze the data. ______________
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