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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