Which two of the following cannot be used to assess the goodness of fit of a regression model
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- Could you please help interpret this SPSS output, i already conducted the multiple regression analysis i just need 1 and 2...THIS IS THE COMPLETE QUESTION Conduct a multiple regression analysis, using ‘monthly sales value’ as the Dependent Variable and entering all other variables simultaneously as the predictors. Determine the regression equation. Which are the best predictors and which predictors contribute very little to the estimate of mean monthly sales value? Interpret the regression results in terms of (1) the variance explained, (2) the overall significance of the regression equation, and (3) the significance, sign and value of each regression coefficient.What is dependent and independent variables? Fully write out the regression equation.What is the sample size used in this investigation? Fill in the blanks identified by ‘*’ and ‘**’. Is β significant, at the 5% level of significance?"What does R-squared (R^2) represent in the context of linear regression? Options: A. The slope of the regression line B. The correlation between the independent and dependent variables C. The proportion of the variance in the dependent variable that is predictable from the independent variable D. The intercept of the regression line"
- What is the relationship between diamond price and carat size? 307 diamonds were sampled and a straight-line relationship was hypothesized between y = diamond price (in dollars) and x = size of the diamond (in carats). The simple linear regression for the analysis is shown below: Least Squares Linear Regression of PRICE Interpret the standard deviation of the regression model. a) We expect most of the sampled diamond prices to fall within $1117.56 of their least squares predicted values. b) We can explain 89.25% of the variation in the sampled diamond prices around their mean using the size of the diamond in a linear model. c) For every 1-carat increase in the size of a diamond, we estimate that the price of the diamond will increase by $1117.56. d) We expect most of the sampled diamond prices to fall within $2235.12 of their least squares predicted values.We are interested in the relationship between mid-term exam scores and final exam scores. The Final Exam score is the dependent variable and Midterm score is the independent variable. Use the simple regression output on below to answer the question below. Use a significance level of 0.05 for all hypothesis tests and intervals. A point estimate for the Final Exam score for a student with a score of 85 on the Midterm? O Bivariate Fit of Final Exam By Midterm 100 90 80 70 60 50 55 60 65 70 75 80 85 90 95 100 Midterm Parameter Estimates Term Estimate Std Error t Ratio Prob>|t| Lower 95% Upper 95% 0.0031* <.0001* 11.166522 0.3615044 3.09 Intercept 31.738559 10.26099 Midterm 52.310596 0.61916 0.128514 4.82 0.8768157 Upper 95% Indiv Final ... Predicted Lower 95% Upper 95% Lower 95% Student Midterm Final Exam Final Exam Mean Final ... Mean Final .. Indiv Final ... 70 75.07976245 71.391337991 78.768186908 53.411179985 96.748344914 Final ExamDoes the Regression line give information about all the data points in the data set? Does the Regression line usually have all the points in the data set on it?
- Define Residuals or errors in Alternative Regression Models?Predicting Percent Body FatThis problem uses the dataset BodyFat, which gives the percent of weight made up of body fat for 100 men as well as other variables such as Age, Weight (in pounds), Height (in inches), and circumference (in cm) measurements for the Neck, Chest, Abdomen, Ankle, Biceps, and Wrist.1Using Neck Circumference to Predict Body FatThe regression line for predicting body fat percent using neck circumference is BodyFat^=-47.9+1.75(Neck). Click here for the dataset associated with this question. (a) What body fat percent does the line predict for a person with a neck circumference of 35 cm?Round your answer to two decimal places.BodyFat^= %What body fat percent does the line predict for a person with a neck circumference of 40 cm?Round your answer to one decimal place.BodyFat^= % (b) One of the men in the study had a neck circumference of 38.7 cm and a body fat percent of 11.3. Find the residual for this man.Round your answer to three decimal places.residual= %…Data on 17 randomly selected athletes was obtained concerning their cardiovascular fitness (measured by time to exhaustion running on a treadmill) and performance in a 20-km ski race. Both variables were measured in minutes and a regression analysis was performed. ski = 86 2.4 treadmill Coefficients Estimate (Intercept) Treadmill 86 -2.4 Std. Error What is the test statistic? -2.791 0.26 0.86 Is there sufficient evidence to conclude that there is a linear relationship between cardiovascular fitness and ski race performance? Round your answers to three decimal places. Using your answer from the previous question, find the p-value. Part 2 of 3
- Let the Explanatory Variable represent the age of a sample of seven randomly selected men. Let the Response Variable represent the corresponding cholesterol measurements of these men. Explanatory Variable: Response Variable: 39, 189, 52, 238, 47, 43, 63, 244, 58, 236, 248 69 220, 215, (a) What is the equation of the regression line for this sample data? The y-intercept of your equation must be to three decimal places and the slope of your equation must be to four decimal places. O A. y = 1.7283x + 135.543 В. y = 1.8653x + 105.698 OC. y= 2.1664x + 142.336 (b) Using the equation of your regression line from (a) above what is the predicted cholesterol measurement when a man is 60 years old? Your answer must be to four places. O A. 217.6160 B. 272.3200 О с. 239.2410OtZagat restaurant guides publish ratings of restaurants for many large cities around the world. The restaurants are rated on a 0 to 30 point scale based on quality of food, decor, service, and cost. Suppose that someone wants to predict the cost of dinner at a restaurant in a city based on the Zagat food quality ratings. If 10 restaurants in a city are sampled and the regression output is given below, what can we conclude about the slope of food quality? 1) Not enough evidence was found to conclude the slope differs significantly from 0. 2) The slope is 1.775 and therefore differs from 0. 3) The slope significantly differs from 0. 4) Since we are not given the dataset, we do not have enough information to determine if the slope differs from 0. 5) The slope is equal to 0.