The dataset below contains synthetic records of human heights and weights of 18 years old children.HEIGHTWEIGHT(Feet)(in kg)5.4851.365.9662.045.7869.565.6964.705.6565.595.7356.055.8264.315.8362.03а.Find the equation of the regression that model the relationship between the weight of mail and numberof order using LINEAR EQUATION, EXPONENTIAL EQUATION, SIMPLE POWER EQUATION, and HYPERBOLIC|EQUATION.b. Compute for the correlation coefficient of each equation using PEARSON PRODUCT MOMENTCORRELATION COEFFICIENT (PPMCC).

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 4SGR

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The following table gives the data for the grades on the midterm exam and the grades on the final exam. Determine the equation of the regression line, yˆ=b0+b1x�^=�0+�1�. Round the slope and y-intercept to the nearest thousandth. Grades on Midterm and Final Exams Grades on Midterm 7171 6262 7878 9494 8383 8181 8080 9494 8585 6262 Grades on Final 8888 7979 8888 9191 8080 7070 7171 9393 6565 7777
Describe regression variation in terms of variation in Y.
A pumpkin farmer wants to create a linear regression model to predict the circumference of a pumpkin (Y-variable) from its weight (X-variable). He samples 40 pumpkins from his pumpkin patch and the mean weight is 14 lbs with a standard deviation of 1 lb. The mean circumference is 50 inches with a standard deviation of 10 inches. The correlation between pumpkin weight and circumference is r = 0.50. What is the slope of the linear regression model predicting circumference from weight? 7 1 5 3
When doing linear regression, what does a large residual indicate?
Find the equation for the least squares regression line of the data described below. Meteorologists in a seaside town wanted to understand how their annual rainfall is affected by the temperature of coastal waters. For the past few years, they monitored the average temperature of coastal waters (in Celsius), x, as well as the annual rainfall (in millimetres), y. Rainfall statistics • The mean of the x-values is 11.503. • The mean of the y-values is 366.637. • The sample standard deviation of the x-values is 4.900. • The sample standard deviation of the y-values is 44.387. • The correlation coefficient of the data set is 0.896. Round your answers to the nearest thousandth. y = L Submit
The average August temperatures (y) and geographic latitudes (x) of 13 cities in the United States were studied. The regression equation for these data isTemperature = 127 -1.68*(latitude)What is the slope of the line? Estimate the mean August temperature for a city with latitude of 11.Use 2 decimal placesSan Francisco has a latitude of 40. What would you predict for the mean August temperature of San Francisco?Use 2 decimal placesGiven that the mean August temperature in San Francisco is actually 70 calculate the residual (prediction error) for San Francisco.It should be observed minus predicted. If you do it wrong your answer have the positive and negative switchedUse 2 decimal placesThe latitude at the equator is 0. Estimate the average August temperature at the equator.Use 1 decimal place
To estimate ages of trees, rangers use a simple regression model that relates the tree diameter (inches) to their age (years). The model is useful because tree diameter has an association to tree age (count of cross section rings). 8 trees were sampled. The regression model is: TreeAge= -0.15228+6.451 (Diameter) d) If in fact, the tree age is 76 years for a tree with diameter 9.5 inches, the residual is approximately ["", ""] . The age has been a(n) [a7]. e) If the correlation , then the coefficient of determination is [a8].
To estimate ages of trees, rangers use a simple regression model that relates the tree diameter (inches) to their age (years). The model is useful because tree diameter has an association to tree age (count of cross section rings). 8 trees were sampled. The regression model is: TreeAge= -0.15228+6.451 (Diameter) d) If in fact, the tree age is 76 years for a tree with diameter 9.5 inches, the residual is approximately ["", ""] . The age has been a(n) [a7]. e) If the correlation , then the coefficient of determination is [a8].
Calculate the equation of the regression line and calculate the correlation coefficient
A researcher interested in explaining the level of foreign reserves for the country of Barbados estimated the following multiple regression model using yearly data spanning the period 2001 to 2016: FR=a+BOIL+YEXP+8FDI Where FR = yearly foreign reserves ($000’s), OIL = annual oil prices, EXP = yearly total exports (S000's) and FDI = annual foreign direct investment (S000's). The sample of data was processed using MINITAB and the following is an extract of the output obtained: Predictor Coef StDev t-ratio p-value Constant 5491.38 2508.81 2.1888 0.0491 OIL 85.39 18.46 4.626 0.0006 EXP -377.08 112.19 0.0057 FDI -396.99 160.66 -2.471 ** s = 2.45 R-sq = 96.3% R-sq (adj) = 95.3% Analysis of Variance Source DF MS F Regression 3 1991.31 663.77 ? ?? Error 12 77.4 6.45 Total 15 a) What is dependent and independent variables? b) Fully write out the regression equation c) Fill in the missing values ***, ***', ?'and ??' d) Hence test whether ß is significant. Give reasons for your answer. e) Perform…
Find the regression equation showing the regression equation of capacity utilisation on production from the following data : Average Standard deviation 35.6 10.5 Production (in lakh units) Capacity utilisation (in percentage) 84.8 8.5 = 0.62 Estimate the production when the capacity utilisation is 70 per cent.
Why this type of plot is used in analysing regression models

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