~We can conclude there is linear correlation between the number of TV ads and the number of cars sold because the sample size n is ____?____ and its corresponding critical value for the correlation coefficient is ___?____. Is the correlation positive or negative? .Find the equation of the least-squares regression line: ~The slope is: ___?___. Round to 2 decimal places.~The y-intercept is ___?_____ . Round to 2 decimal places.~The equation of the line is: ___?_~Using the equation of the line we can predict that if the number of TV ads is 12 the number of cars sold will be ___?___. Round your final answer to the nearest whole number.~The interpretation of the slope in the context of the problem is: __?_____~The interpretation of the y-intercept in the context of the problem is: __?_____ . If it is not appropriate to interpret the y-intercept answer "Not appropriate".~The percentage of variation on the number of cars sold that can be explained by the number of TV ads is __?__%. ### Weekly Cars Sold Versus Number of TV AdsThis graph represents the relationship between the number of TV ads and the number of cars sold weekly. The horizontal axis (x-axis) displays the "Number of TV ads," ranging from 0 to 30. The vertical axis (y-axis) shows the "Number of Cars Sold," with values ranging from 0 to 50.#### Observations:- The graph uses a scatter plot to present data points, indicating the correlation between the two variables.- As the number of TV ads increases, there is a general upward trend in the number of cars sold.- At around 5 TV ads, roughly 10 cars are sold.- With approximately 20 TV ads, the number of cars sold reaches around 30.- The highest point on the graph shows that with more than 25 TV ads, over 45 cars are sold.This visual representation suggests a positive correlation, indicating that increased TV advertising tends to result in higher car sales. **Statistical Analysis of TV Ads and Car Sales**Given Data:- Mean number of TV ads ($\bar{x}$): 14.5- Mean number of cars sold ($\bar{y}$): 12.1- Standard deviation of TV ads ($s_x$): 8.71- Standard deviation of cars sold ($s_y$): 9.58- Correlation coefficient ($r$): 0.919### Correlation and AnalysisTo assess the relationship between the number of TV ads and the number of cars sold:1. **Correlation Assessment**: - **Sample Size (n)**: [Enter here] - **Critical Value for Correlation Coefficient**: [Enter here] - **Correlation**: [Positive/Negative]### Least-Squares Regression LineTo find the equation of the best fit line using the least squares method:- **Slope (b)**: [Enter value]. *Round to 2 decimal places.*- **Y-intercept (a)**: [Enter value]. *Round to 2 decimal places.*- **Equation of the Line**: $y = bx + a$### PredictionUsing the regression equation, predict:- **Number of cars sold for 12 TV ads**: [Enter value]. *Round to the nearest whole number.*### Interpretation- **Slope**: Explanation of how the change in TV ads affects car sales.- **Y-intercept**: Contextual meaning; if not applicable, state "Not appropriate."### Statistical Variation- **Percentage of Variation Explained**: [Enter percentage]%This analysis helps in understanding how effectively TV advertising impacts car sales, assisting in strategic decision-making.

Given Information: x¯=14.5y¯=12.1sx=8.71sy=9.58r=0.919

Answered: We can conclude there is linear…

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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Question

~We can conclude there is linear correlation between the number of TV ads and the number of cars sold because the sample size n is ____?____ and its corresponding critical value for the correlation coefficient is ___?____. Is the correlation positive or negative? .

Find the equation of the least-squares regression line:

~The slope is: ___?___. Round to 2 decimal places.

~The y-intercept is ___?_____ . Round to 2 decimal places.

~The equation of the line is: ___?_

~Using the equation of the line we can predict that if the number of TV ads is 12 the number of cars sold will be ___?___. Round your final answer to the nearest whole number.

~The interpretation of the slope in the context of the problem is: __?_____

~The interpretation of the y-intercept in the context of the problem is: __?_____ . If it is not appropriate to interpret the y-intercept answer "Not appropriate".

~The percentage of variation on the number of cars sold that can be explained by the number of TV ads is __?__%.