The image shows an exercise related to finding the linear correlation between budgets and gross receipts of movies.### Data:Budgets (in millions of dollars): 61, 87, 54, 32, 197, 95Gross Receipts (in millions of dollars): 68, 67, 45, 57, 626, 141, 43### Instructions:- Construct a scatterplot.- Calculate the linear correlation coefficient (r).- Find the P-value with α = 0.05.- Determine if there is a significant linear correlation.### Hypotheses:- **Null Hypothesis (H₀):** ρ = 0 (no correlation)- **Alternative Hypothesis (H₁):** ρ ≠ 0 (correlation exists)### Scatterplot Selection:Students must choose the correct scatterplot from four options labeled A, B, C, D.- **Correct Option: C** is indicated.### Calculations:- The linear correlation coefficient **r is 0.915**.- The test statistic **t is not given in the image** (instructed to round to two decimal places).### Analysis Requirement:- Based on the linear correlation coefficient and subsequent calculations, determine if there is sufficient evidence to reject the null hypothesis.### Graphs:Each scatterplot presented shows a different arrangement of points based on the given data, with varying levels of correlation visually indicated.**Note:** The actual P-value calculation and test statistic are needed for conclusions on statistical significance.

Hypothesis : D. Ho:ρ=0H1:ρ≠0 Correct Graph : A. Linear correlation coefficient : 1. Enter data in…

Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $61,000,000, $87,000,000, $54,000,000, and so on? Budget (x) Gross (y) 61 87 54 32 197 95 95 68 67 45 57 626 141 43 *D. Ho: p=0 O C. Ho: p#0 H,:p=0 H,: p#0 Construct a scatterplot. Choose the correct graph below. O B. OC. O D. 800- AY 800- 800- Ay 800- 0- 250 250 250 The linear correlation coefficient r is 0.915. (Round to three decimal places as needed.) The test statistic t is .00 (Round to two decimal places as needed.)

Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $61,000,000, $87,000,000, $54,000,000, and so on? Budget (x) Gross (y) 61 87 54 32 197 95 95 68 67 45 57 626 141 43 *D. Ho: p=0 O C. Ho: p#0 H,:p=0 H,: p#0 Construct a scatterplot. Choose the correct graph below. O B. OC. O D. 800- AY 800- 800- Ay 800- 0- 250 250 250 The linear correlation coefficient r is 0.915. (Round to three decimal places as needed.) The test statistic t is .00 (Round to two decimal places as needed.)

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 court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a= 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income Justice Salary 65.0 406.0 1566.0 1131.0 274.0 253.0 110.0 152.0 31.0 e 29 45 94 58 46 61 25 26 19 The linear correlation coefficient is r= (Round to three decimal places as needed.) The test statistic is t=. (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.) V than the significance level 0.05, there court incomes and justice salaries for a significance level of a = 0.05. Because the P-value is V sufficient evidence to support the claim that there is a linear correlation between Based…
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