A biologist looked at the relationship between number of seeds a plant produces and the percent of thoseseeds that sprout. The results of the survey are shown below.Seeds ProducedSprout Percent63 69 5647.544.5 4759 4060.5 73Find the correlation coefficient: r =The null and alternative hypotheses for correlation are:Ho: ? = 0H₁: ?0The p-value is:6154.5 69.541 45 4556.5 70.5Round to 2 decimal places.(Round to four decimal places)№²,Interpret 7²:Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the contextof the study.O There is statistically insignificant evidence to conclude that there is a correlation between thenumber of seeds that a plant produces and the percent of the seeds that sprout. Thus, the useof the regression line is not appropriate.O There is statistically insignificant evidence to conclude that a plant that produces more seedswill have seeds with a lower sprout rate than a plant that produces fewer seeds.There is statistically significant evidence to conclude that a plant that produces more seedswill have seeds with a lower sprout rate than a plant that produces fewer seeds.There is statistically significant evidence to conclude that there is a correlation between thenumber of seeds that a plant produces and the percent of the seeds that sprout. Thus, theregression line is useful.(Round to two decimal places)

x y xi-x yi-y (xi-x)2 (yi-y)2 (xi-x)(yi-y) 636956594061414545 47.544.54760.57354.569.556.570.5…

Answered: biologist looked at the relationship…

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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Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 31.80 52.94 85.82 102.16 60.17 111.77 D 5.46 6.07 15.82 15.40 11.15 20.32 Construct a scatterplot. Choose the correct graph below. O A. O B. Oc. D. Q 25- 25- 25 0- 30 0- 30 Bill Amount ($) 0+ 30 Bill Amount (S) 0- 30 Bill Amount (S) 120 120 120 Bill Amount (S) 120 The linear correlation coefficient is r= 0.954 (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: p H,: P (Type integers or decimals. Do not round.) Tip Amount ($) ip Amount ($) Tip Amount ($) Tip Amount ($)
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…
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. Internet Users 80.1 78.1 57.2 66.4 76.9 38.6 O Award Winners 5.3 9.4 3.3 1.8 10.7 0.1
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…
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.05. Internet Users 79.0 78.3 56.9 68.7 77.2 38.6 Award Winners 5.4 9.2 3.2 1.8 10.6 0.1 Construct a scatterplot. Choose the correct graph below. O A. OB. с. 12- 12- 12,• 0- 30 30 90 Internet Users 30 90 Internet Users 30 Internet Users 90 90 Internet Users The linear correlation coefficient is r= (Round to three decimal places as needed.) Award Winners Award Winners
To examine the linear correlation between adult age and weight, data was collected from 9 adults. See the table below. Age Weight (Years) (pounds) 26 203 28 245 29 141 34 139 39 199 40 194 41 137 50 181 52 197 Does this result suggest that the correlation is statistically significant? Use a = 0.01. Important Note: Round your value for r to three decimals before computing the STS. DO NOT use the built- in LinRegTTest on a calculator because you might get marked wrong. When computing the P-value, use the rounded STS. 1. Select the correct statement: O f the correlation is found to be statistically significant, that means that changes in æ cause changes in y O Even if the correlation is found to be statistically significant, that does not necessarily mean that changes in æ cause changes in y
A study was done to look at the relationship between number of partners college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Partners 7 8 6 1 6 6 4 GPA 1.4 1.5 1.4 3 2.3 1.5 2.9 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? r ρ μ Incorrect == 0 Ha:Ha: ? r ρ μ Incorrect ≠≠ 0 Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. You may want to reference the 95% Critical Values of the Sample Correlation Coefficient. There is statistically insignificant evidence to conclude that there is a correlation between the number of partners students have had in their lifetimes and their GPA. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that a student who has had more partners will have a lower GPA than a…
Please answer all questions 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 60 57 40 44 45 58 54 48 Sprout Percent 54 53.2 65 59.4 66 49.8 51.4 64.8 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: == 0H1:H1: ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. 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. There is statistically insignificant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of…
A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 25 8 24 6 18 16 7 12 Money 82 18 106 40 64 50 22 60 The null and alternative hypotheses for correlation are:H0:H0: ? r μ ρ Correct = 0H1:H1: ? ρ r μ Correct ≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the amount of time customers spend at the store and the amount of money that they spend at the store. Thus, the use of the regression line is not appropriate. There is statistically insignificant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends…
choose the correct answer Given the following X and Y variables. Determine the Pearson-r correlation value. (photo) a. 0.412 b. - 0.785 c. 0.248 d. - 0.293 What is the range of the given data set: 25, 19, 30, 12, 45, 11, 32, 49, 23, 36, 34 ? a. 49 b. 26 c. 38 d. 44 Thank you!!!
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 4 6 GPA 0 2.9 2.9 3.5 3 0 3.4 3.3 140 8 1.7 2 3.3 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: H₁: The p-value is: 6 6 2.4 1.9 Round to 2 decimal places. (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 insignificant evidence to conclude that there is a correlation between the number of lovers students have had in their lifetimes and their GPA. Thus, the use of the regression line is not appropriate. O 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. O There is statistically significant evidence to conclude that…

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