You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n = 18, you determine that SSR = 80 and SSE=20. Complete parts (a) through (e) below.c. Based on your answers to (a) and (b), what statistical decision should you make?O A. Reject Ho. There is no evidence that there is a relationship between X and Y.O B. Do not reject Ho. There is evidence that there is a relationship between X and Y.O C. Do not reject Ho. There is no evidence that there is a relationship between X and Y.Ⓒ D. Reject Ho. There is evidence that there is a relationship between X and Y.d. Compute the correlation coefficient by first computing and assuming that b₁ is negative.2 = (Round to four decimal places as needed.)(Round to four decimal places as needed.)e. At the 0.05 level of significance, is there a significant correlation between X and Y?Determine the null and alternative hypotheses for this test.O A. Ho: p#0H₁: p=0OC. Ho: p≤0H₁: p>0GOB. H₂: p=0H₁: p#0O D. Ho: p20H₁: p<0 The data in the table to the right represent the calories and sugar (in grams) in one serving of seven different types of breakfast cereals.a. Compute and interpret the coefficient of correlation, rb. At the 0.05 level of significance, is there a significant linear relationship between calories and sugar?(Round to three decimal places as needed.)b. Determine the hypotheses for the test. Choose the correct answer below.O A. Ho: B₁ ≤0H₁: B₁ > 0O D. Ho: B₁ 20H₁: B₁ <0O B.Ho: p≤0H₁: p>0O E. Ho: p²0H₁: p<0GProductCereal 1Cereal 2Cereal 3Cereal 4Cereal 5Cereal 6Cereal 7ⒸC. Ho: p=0H₁: p#0OF. Ho: B₂=0Họ: Bo=0Compute the test statistic.The test statistic is 3.17. (Round to two decimal places as needed.)Determine the p-value.The p-value is (Round to three decimal places as needed.)Reach a decision.Reject Ho. There is sufficient evidence at the 0.05 level of significance to conclude that there is a significant linear relationship between calories and sugar.Calories79103102109133194205Sugar53ON WAW12

X Y 79 5 103 1 102 3 109 4 133 3 194 12 205 9

Answered: The data in the table to the right…

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 α=0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) 34.14 47.51 85.27 88.36 66.73 105.33 Tip (dollars) 3.51 5.55 16.44 17.42 6.69 13.97
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fill in the blank pls!
Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each data set is made up of sample values drawn from a population. A. For which data set is the sample correlation coefficient r equal to −1? B. For which data set is the sample correlation coefficient r closest to 0?
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