Direction: Answer the problem below. Show your solution.Mr. David runs to keep himself physically fit. He wants to know if there is a relationshipbetween the time elapsed and the kilometers he ran.Kilometers ranTime (in minutes)(X)(Y)11090210603161504169052116021180a. Calculate the Pearson correlation coefficient and regression line based on thedata below,b. Draw a scatter plot.Activate WindowsN Go to PC settings to activate Windows.

Given: Kilometer ran(X) Time (Y) 10 90 10 60 16 150 16 90 21 160 21 180

Answered: a. Calculate the Pearson correlation…

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. Determine the correlation coefficient between the number of periods and the sales. Is time series a good method of predicting the monthly sales for year 4?b. Determine the correlation coefficient between the sales and the number of tourists in the area. Is a linear regression a good method to predict the sales for a month?
6.In simple linear regression, the sample correlation coefficient between the input variable and the output variable, and the estimated slope parameter : a.Must have the same sign (negative, zero, or positive) b.May have opposite signs c.Must have opposite signs d.Neither of the above
Consider a panel data set and the following regression model. Yit Bo + B₁Xit + ++ Uit What do subscripts / and t refer to? O A. Subscripts i and tidentify different time periods. O B. Subscripts / and t identify the entity and time period respectively. OC. Subscripts i and t identify different individuals. O D. Subscripts i and t identify the time period and entity respectively.
The data is given as follow. xi 2 6 9 13 20 yi 7 18 9 26 23 The estimated regression equation for these data is = 7.6 + .9x.Compute SSE, SST, and SSR (to 1 decimal). SSE SST SSR What percentage of the total sum of squares can be accounted for by the estimated regression equation (to 1 decimal)? %What is the value of the sample correlation coefficient (to 3 decimals)?
ANSWER D ONLY
9. Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. Calories, x Sodium, y 160 130 330 120 70 190 (a) x = 170 calories (c) x = 150 calories 180 (b) x = 80 calories 420 470 360 250 530 (d) x = 210 calories Find the regression equation. x+( (Round to three decimal places as needed.) y = Choose the correct graph below. OA. О В. OC. OD. 560- 560 560 560- 200 G 0IN T> 200 200 Calories Calories Calories Calories (a) Predict the value of y for x = 170. Choose the correct answer below. O A. 411.632 O B. 543.752 O C. 455.672 O D. not meaningful (b) Predict the value of y for x = 80. Choose the correct answer below. O A. 411.632 О В. 257.492 O C.…
Post secondary education information was examined for a random selection of states. The data below show the number of community colleges in the number of universities for each particular state. Community: 12, 17, 13, 10, 8 University: 4, 6, 5, 4, 3 A. Create a scatterplot of the given data sets B. Find the correlation coefficient of the sets of data. C. Create the equation of the regression line for the data and evaluate it when X=300.
1. Explain the purpose or use of the following:a. Linear regression equationb. Correlation coefficient.
5
The paired data below consists of heights and weights of 6 randomly selected adults. Find the linear correlation coefficient, the linear regression line, and predict the weight of a randomly selected person who is 1.69 meters tall. X Height (meters) 1.61 1.72 1.78 1.80 1.67 1.88 Y Weight (kg) 54 62 70 84 61 92
b. Add in the table provided in the spreadsheet a dummy variable that takes the value of 1in the fourth quarter of each year and show the table with all the data c. Using the data provided in the spreadsheet including the dummy variable you have created for the fourth quarter of each year run a regression with dependent variable the CBC house price index and independent variables the other three variables (Nominal GDP, Number of Households, and the dummy variable for the fourth quarter). Present the typical regression results output for this regression produced by Excel. d. Explain what the particular numbers for the following statistics that you presented in b) mean (no points will be given if you write general definitions without interpreting the particular numbers that you have presented): a. R-squared b. The t-statistics of the three independent variables c. The coefficients of the three independent variables e. Discuss if the signs that you get for the coefficients of each of the…
In a study examining weight with its association with glucose, the following data were collected. Weight (kg) 20 25 30 35 40 45 Age (yrs) 2 4 6 8 10 12 Produce the scatter plot with the regression line. Generate the regression equation and determine the correlation coefficient. Predict at age 16 what the weight will be.

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a. Calculate the Pearson correlation coefficient and regression line based on the data below. b. Draw a scatter plot.