## Linear Regression and Correlation### Data Table| x | y ||---|------|| 1 | -7.13 || 2 | -8.76 || 3 | -9.79 || 4 | -8.12 || 5 | -12.85 |### Instructions1. **Compute the Linear Regression Line** - Use the form $ y = mx + b $, where $ m $ is the slope, and $ b $ is the intercept. - Use at least 3 decimal places. Round if necessary. \[ y = \_\_\_\_\_x + \_\_\_\_\_ \]2. **Compute the Correlation Coefficient** - For this data set, use at least 3 decimal places. Round if necessary. \[ r = \_\_\_\_\_ \]3. **Calculate the P-value** - Use at least 3 decimal places. Round if necessary. \[ P\text{-value} = \_\_\_\_\_ \]4. **Determine Significance at $ \alpha = 0.01 $** - **Is the correlation significant?** - [ ] No - [ ] Yes, significant correlationPlease fill the blanks with the computed values and select the correct significance option.

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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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A statistical program is recommended. Consider the following data for two variables, x and y. 24 26 30 22 35 40 y 13 22 33 34 41 35 (a) Develop an estimated regression equation for the data of the form ŷ = b, + b,x. (Round b, to one decimal place and b, to three decimal places.) (b) Use the results from part (a) to test for a significant relationship between x and y. Use a = 0.05. Find the value of the test statistic. (Round your answer to two decimal places.) F = Find the p-value. (Round your answer to three decimal places.) p-value = Is the relationship between x and y significant? O Yes, the relationship is significant. O No, the relationship is not significant. (c) Develop a scatter diagram for the data. y 45 y 45 y 45 y 45 T 40 40- 40 40 35 35- 35 35 30 30 30 30 25 25 25 25 20 20 20 20 15 15 15 15 10 10 10 10 5. 5. 5. 5 20 25 30 35 40 45 20 25 30 35 40 45 20 25 30 35 40 45 20 25 30 35 40 45 Does the scatter diagram suggest an estimated regression equation of the form ý = b, + b,x…
Linear regression activity. Tune current between one and six years old were randomly selected from the classified ads of the Arizona republic.The following data were obtained where X donates age in years,and y donates price,in hundreds of dollars. x (age) 6,6,6,2,2,5,4,5,1,4 price(100ths) 270,260,275,405,364,295,335,308,405,305 Draw a scatter diagram. Find the linear correlation coefficientr. describe the shape strength and direction.does a linear relationship exist between the age of Corvette and its price (use the critical value to explain).If appropriate explain the slope in contexts. If appropriate explain the Y intercept in context.Predict the price of a one year old Corvette.Find the residual of a one year old Corvette.
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y (a) x= 2 hours (c) x = 14 hours (b) x= 4.5 hours (d) x = 2.5 hours 40 45 52 47 65 69 Find the regression equation. ý =]x+ (O (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
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Linear Regression and Correlation. y 2 6.32 3 9.28 4 0.14 5 0.7 6 -4.04 7 3.22 Compute the equation of the linear regression line in the form y = mx + b, where m is the slope and b is the intercept. Use at least 3 decimal places. (Round if necessary) y = x + Compute the correlation coeficient for this data set. Use at least 3 decimal places. (Round if necessary) r= Compute the P-value (Use HA: slope = 0 for the alternative hypothesis.) Use at least 3 decimal places. (Round if necessary) P-value = At the alpha = 0.05 significance level, is the correlation significant? O Yes, significant correlation O No
Find the regression line associated with the set of points. (Round all coefficients to four decimal places.) (6, 8), (8, 12), (12, 16), (14, 4) y(x) =
The following table shows worldwide sales and projected sales of a certain type of phone and their average selling prices in 2020, 2022, and 2024. Year 2020 2022 2024 Selling Price ($100) p 6 5 4.5 Sales (billions) q 1 1.2 1.3 Find the regression line. 9(p) = Use the regression line to estimate the demand (in millions of units sold) when the selling price was $250. X million 1.6 Need Help? Read It Master It
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Linear Regression and Correlation. x y 3 -2.64 4 -17.42 5 -15.2 6 -21.08 7 -21.66 8 -21.94 9 -26.12 10 -24.1 11 -29.08 12 -19.86 Compute the equation of the linear regression line in the form y = mx + b, where m is the slope and b is the intercept.Use at least 3 decimal places.y =_______ x +_______
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y (a) x = 2 hours (c) x = 14 hours (b) x = 4.5 hours (d) x = 1.5 hours 2 3 4 4 6 38 45 51 48 64 67 Find the regression equation. ŷ =x+ (O (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. A. ОВ. OD. 80- 80- Hours studying Hours studying Hours studying Hours studying (a) Predict the value of y for x = 2. Choose the correct answer below. O A. 44.5 О В. 58.8 OC. 41.7 O D. not meaningful (b) Predict the value of y for x = 4.5. Choose the correct answer below. O A. 58.8 О В. 41.7 OC.…
Linear Regression and Correlation. x y 3 4.48 4 -1.76 5 11.3 6 12.76 7 12.42 8 2.78 Compute the equation of the linear regression line in the form y = mx + b, where m is the slope and b is the intercept. Use at least 3 decimal places. (Round if necessary)P-value =
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Linear Regression and Correlation. y 1 -7.13 -8.76 -9.79 4 -8.12 -12.85 Compute the equation of the linear regression line in the form y = mx + b, where m is the slope and b is the intercept.