The exercise involving data in this and subsequent sections were designed to be solved using Excel. The following estimated regression equation is based on 30 observations. ^y = 17.2 + 3.6x1 – 2.2x2 + 7.8x3 – 2.9x4 The values of SST and SSR are 1,805 and 1,762 , respectively. Compute R2 (to 3 decimals).

The exercise involving data in this and subsequent sections were designed to be solved using Excel. The following estimated regression equation is based on 30 observations. ^y = 17.2 + 3.6x1 – 2.2x2 + 7.8x3 – 2.9x4 The values of SST and SSR are 1,805 and 1,762 , respectively. Compute R2 (to 3 decimals).

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3SE: What is regression analysis? Describe the process of performing regression analysis on a graphing...

See similar textbooks

Similar questions

Does Table 2 represent a linear function? If so, finda linear equation that models the data.
What is regression analysis? Describe the process of performing regression analysis on a graphing utility.
Find the degrees of freedom in a regression model with an intercept term that has 88 observations and 7 explanatory variables.
The following table gives the data for the average temperature and the snow accumulation in several small towns for a single month. Determine the equation of the regression line, yˆ=b0+b1xy^=b0+b1x. Round the slope and y-intercept to the nearest thousandth. Then determine if the regression equation is appropriate for making predictions at the 0.010.01 level of significance. Average Temperatures and Snow Accumulations Average Temperature (℉℉) 38 30 17 39 45 22 34 24 29 38 Snow Accumulation (in.in.) 6 19 27 5 13 26 26 14 13 5 Copy Data
Interpret an R^2 value of 0.62 for a linear regression model where X is the independent variable and Y is the dependent variable.
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
The line of best fit through a set of data is Y = – 11.943 + 2.982x According to this equation, what is the predicted value of the dependent variable when the independent variable has value 100? ŷ = Round to 1 decimal place.
An independent researcher wants to investigate if the factors which determine the house rent (Y, measured in dollars), such as the distance of the house from the airport (X,), the time since the house was built (X,), are significant or not. He collects data from 280 prospective locations and estimates the following regression equation: Y = 2.5 -0.88X, +1.98X2. (0.98) (2.14) The 95% confidence interval for the slope coefficient B,, keeping the other variables constant will be (Round your answer to two decimal places. Enter a minus sign if your answer is negative.) owe ppe Based on the calculated confidence intervals, we can say that at the 5% significance level, we will V the hypothesis B, = 0. The 99% confidence interval for the slope coefficient B,, keeping the other variables constant will be (. 1.04 (Round your answer to two decimal places. Enter a minus sign if your answer is negative.) Based on the calculated confidence intervals, we can say that at the 1% significance level, we…
A biologist wants to predict the height of male giraffes, y, in feet, given their age, x1, in years, weight, x2, in pounds, and neck length, x3, in feet. She obtains the multiple regression equation yˆ=7.36+0.00895x1+0.000426x2+0.913x3. Predict the height of a 12-year-old giraffe that weighs 3,100 pounds and has a 7-foot-long neck, rounding to the nearest foot.
The following table gives the data for the average temperature and the snow accumulation in several small towns for a single month. Determine the equation of the regression line, yˆ=b0+b1xy^=b0+b1x. Round the slope and y-intercept to the nearest thousandth. Then determine if the regression equation is appropriate for making predictions at the 0.01 level of significance. Average Temperatures and Snow Accumulations Average Temperature (℉℉) 45 34 24 45 39 20 31 19 35 44 Snow Accumulation (in.in.) 9 16 24 9 15 28 25 18 16 5 1. Regression equation: y=__________ 2. Is the equation appropriate? yes or no
A researcher is using the regression model Y=61+4.5X to predict a persons score on a happiness questionnaire based on their number of friends Predict the happiness score for someone with 8 friends
Find the equation of the regression line for the data based on time spend forstudying and current CGPA