Example: Find the equation for regression line (Linear Regression equation) and thenestimate the value of y when x = 34:-2-1-3-1XySolution:0-202432

Data given X: -2,-1,0,1,2,3 Y: -3,-1,-2,0,4,2

Answered: Example: Find the equation for…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 8PT: Does Table 1 represent a linear function? If so, finda linear equation that models the data.

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Similar questions

What is regression analysis? Describe the process of performing regression analysis on a graphing utility.
Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
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Does the following table represent a linear function ? If so, find the linear equation that models the data.
Expalin the concept of Nonlinear Regression Functions in detail?
A 10-year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking related to the risk of strokes. The data file “Stroke.xslx” includes a portion of the data from the study. The variable “Risk of Stroke” is measured as the percentage of risk (proportion times 100) that a person will have a stroke over the next 10-year period. Regression Analysis As Image: 1) Based on the simple regression analysis output, write the estimated regression equation. 2) What is the correlation coefficient between Risk of Stroke and Age? How do you find i
The equation of a regression line is Y = 5.8 + 4x Estimate the value of Y when x 13?
We wish to determine a regression equation that relates the hourly wage in pesos to age (in years), gender and education (in years). Below is portion of the regression analysis derived using a software. *Note: under the gender variable: male and female categories are assigned a value of 0 and 1, respectively. Coefficients Standard Error SS Degrees of freedom Intercept -313.958 102.3523 Regression 5270141 3 age 8.527 1.8308 Residual 6956380 121 education 46.3419 6.4502 Total 12226521 124 gender -98.0447 43.1113 a) Interpret the age, education and gender slope coefficients b) Are age and gender coefficients statistically significant at 92% Confidence Level, justify your answer
The age and height (in cm) of 400 adult women from Bolivia were measured. A researcher wants to know if age has any effect on height. A linear regression is carried out in Minitab and the following output obtained. Coefficients Term Constant Age (a) Write down the regression model. (b) Interpret the regression coefficient for the fitted model. (c) Use the output from Minitab to explain if the age of a participant affects their height. Percent (d) The normal probability plot of the residuals from this regression model is given below. Do the assumptions of the regression model seem reasonable? Justify your answer. 99.9 8 28 22299229 88 Coef SE Coef 152.94 7.69 0.022 0.231 01 -100 T-Value P-Value VIF 19.90 0.000 0.10 0.924 1.00 -50 Normal Probability Plot (response is Height) 0 Residual 50 ***** 100 150
In a simple linear regression prediction equation, the slope is defined as which of the following? The slope is the value of X when Y = 0. For a one-unit change in Y (the criterion), there will be a slope-unit change in X (the predictor) For a one-unit change in X (the predictor), there will be a slope-unit change in Y (the criterion) The slope is the value of Y when X = 0.
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Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each number to three decimal places). ŷ X Click Download CSV to download csv file of data or copy/paste the data into Excel. After downloading the file, you may want to save it as an Excel Workbook. The fitted regression equation is - y 0 31.6 1 32.23 2 33.56 3 31.99 4 31.92 5 34.55 6 33.88 7 36.51 8 35.54 9 36.47 10 36 11 36.93 Interpret the y-intercept of the equation: O In 2000, the temperature was about 31.5. O In 2000, the temperature was about 0.503. O In 2000, the temperature was about 31.5. O In 2011, the temperature was about 36.93.

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Example: Find the equation for regression line (Linear Regression equation) and then estimate the value of y when x = 34: -2 -1 -3 -1 X y Solution: 0 -2 1 0 2 4 3 2