6. The regression analysis of an experiment indicated ,? = 98.1% . Which of thefollowing must be true?I.There is a strong positive relationship between the explanatory andresponse variable.II. There is a strong negative relationship between the explanatory andresponse variable.III. About 98% of the variation in the response variable can be explained by theexplanatory variable.(a) I only(b) Il only(c) III only(d) I and III only

Coefficient of Determination (r2) – It quantifies the model closeness to the data. Also it measures…

Answered: 6. The regression analysis of an…

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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You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 60 35 55 23 22 32 40 36 40 18 38 33 80 28 37 25 Ho: ρ = 0Ha: ρ > 0 1/The p-value leads to a decision to Reject Ho Do Not Reject Ho Accept Ho 2/The conclusion is There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. There is a significant positive linear correlation between driver age and number of driver deaths. There is a significant linear correlation between driver age and number of driver deaths. There is a significant negative linear correlation between driver age and number of driver deaths. please choose correct answer in each…
Which of the following values is most likely to represent the correlation coefficient for the data shown in this scatterplot? a. r = .91 b. r = -.47 c. r = -.91 d. r = .47
You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 60 35 55 23 22 32 40 36 40 18 38 33 80 28 37 25 Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient r = ? Find the p-value p-value = The p-value is ? Greater than αα or Less than (or equal to) α
Use the data set below to answer the following questions where weight is your independent variable and MPG is your dependent variable: 4. Give a predicted value of yˆfor a value of the explanatory variable which is not an actual observation in your data set. 6. What is the correlation coefficient, r? Interpret r.
Statistics Question
You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.01 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 66 20 75 32 44 31 44 36 19 23 65 29 61 22 58 25 71 27 Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient r = Find the p-value p-value =
Suppose the correlation coefficient is 0.9. The percentage of variation in the response variable explained by the variation in the explanatory variable is A. 0.90% B. none of the other answers C. 0% D. 0.81% E. 81% OF. 90% G. 8.1% O H. 9%
You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 64 32 55 30 72 36 34 30 31 18 16 29 21 22 32 18 46 24 46 31 Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Greater than αα Less than (or equal to) αα The p-value leads to a decision to Do Not Reject Ho Reject Ho Accept Ho The conclusion is There is a significant linear correlation between driver age and number of driver deaths. There is a significant negative linear correlation between driver age and number of driver deaths. There is a significant positive linear correlation between driver age and number of driver deaths. There is…
The data in the table to the right are based on the results of a survey comparing the commute time of adults to their score on a well-being test. Complete parts (a) through (d) below. LOADING... Click the icon to view the table of critical values of the correlation coefficient. a) Which variable is likely the explanatory variable and which is the response variable? Critical Values for Correlation Coefficient n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 n (a) Which variable is likely the explanatory variable and which is the response variable? The explanatory variable is…
You wish to determine if there is a negative correlation between the two variables at a significance level of a = 0.05. You have the following data set: y 22.1 43.8 24.9 37.2 25.4 33.4 32.5 42.3 23.3 56.5 22.6 54.7 28.9 25.2 What is the correlation coefficient for this data set? Round to 3 decimal places Find the test statistic, p-value, df, and critical value(s) for a Correlationt Test on this data. Round to 3 decimal places t = p-value = %3D df = tc = Your final conclusion is that... OThere is not enough evidence to show that there is a negative correlation between the two variables. There is enough evidence to show that there is a negative correlation between the two variables.
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…
You wish to determine if there is a negative linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 22 20 53 25 19 30 35 23 71 26 36 21 48 25 19 28 Ho: ρ = 0Ha: ρ < 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Greater than αα Less than (or equal to) αα The p-value leads to a decision to Accept Ho Do Not Reject Ho Reject Ho The conclusion is There is a significant linear correlation between driver age and number of driver deaths. There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. There is a significant positive linear correlation between driver age and number of driver deaths.…

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