In order to examine the relationship between the selling price of a used car and its age, an analyst uses data from 20 recenttransactions and estimates Price = Be + B1Age+ e. A portion of the regression results is shown in the accompanying table.StandardError734.41p-Value1.51E-162.02E-08-1,203.251 126.91a. Specify the competing hypotheses in order to determine whether the selling price of a used car and its age are linearly related.InterceptAgeCoefficients21,258.96Test statistic0; versus HA-9.481t Stat28.947b. Calculate the value of the test statistic.Note: Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.10

The regression results are given as follows: CoefficientsStandard errort…

Answered: In order to examine the relationship…

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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1. Plot a scatter diagram (for non-PHStat2 users, just find scatter plot in "Insert" tab in Excel). Does it appear that there is a linear relationship between advertising cost and sales? Why or why not? 2. Compute the correlation coefficient and INTERPRET. 3. From the scatter plot, is it reasonable to perform simple linear regression between the two variables? Why or why not? 4. What is a reasonable choice for the dependent and independent variables. Why? NOTE: please answer ASAP. I really need help.
A researcher has developed a regression model from fourteen pairs of data points. He wants to test to determine if the slope is significantly different from zero. He uses a two-tailed test and a = 0.01. The critical tablet value is 2.718 3.012 2.650 O 3.055 O 2.168
a) Write out the regression equation. b) Fill in the missing values *, **, *** and ****. c) Use the p-value approach to determine if ? is significant at the 5% significance level
The data from the table below gives a regression that is a) reliable. b) unreliable. c) unable to determine the reliability.
Write the formula for the estimated regression line and interpret the slope of the estimated regression line, the intercept of the estimated regression line- Is it meaningful?, and the estimated R2. Based on the fitted regression model, what is the predicted ATST for a child who is 7 years old? What is the correlation between AGE and ATST? Does the residual plot suggest that the fitted regression line is inappropriate for these data? Explain why or why not. Suppose that a new subject is added to the study data and that subject is 12.5 years old with an ATST of 580 minutes. If the regression model were to be refit with this additional data point, would the new slope be greater than or less than -14.041? Justify your response.
A vocational counselor uses the number of days without employment to predict her clients' feelings of self efficacy, measured on a scale of 1 to 5, with higher numbers meaning that clients feel more secure in their job related abilities. The slope of the regression line is –1.02. Which statement is the best interpretation for this finding? a. For every 1-point increase in self-efficacy, there is an associated decrease in the number of days of unemployment. b. For every additional day of unemployment, there is an associated decrease in self-efficacy of 1.02 points. c. The least number of days a person can be unemployed and still feel self-efficacious is 3.98 points d. The decrease in self-efficacy of 1.02 points is caused by each additional day of unemployment
Listed below are the overhead widths (cm) of seals measured from photographs and weights (kg) of the seals. Find the regression equation, letting the overhead width be the predictor (x) variable. Find the best predicted weight of a seal if the overhead width measured from a photograph is 1.8 cm, using the regression equation. Can the prediction be correct? If not, what is wrong? Use a significance level of 0.05. Overhead Width (cm) 7.3 7.4 9.8 9.5 8.8 8.5 Weight (kg) 152 187 286 247 237 231 The regression equation is y =+ (x. (Round the y-intercept to the nearest integer as needed. Round the slope to one decimal place as needed.)
10
A car dealership would like to develop a regression model that would predict the number of cars sold per month by a dealership employee based on theemployee's number of years of sales experience. The accompanying regression output was developed based on a random sample of employees. a. Predict the sales next month for an employee with 2.5 years of experience. The predicted sales is 8.6 cars. b. Compute the coefficient of determination and interpret its meaning. The coefficient of determination is 0.234 Therefore, about _________% of the variation in monthly sales is explained by the years of sales experience. (Type an integer or decimal rounded to one decimal place as needed.)
4 A certified financial planner would like to examine the relationship between the age of her clients and the total amount of money they have in their investment accounts. The ages of clients and corresponding account balances for a sample of 15 clients appears in the table. Use the regression analysis output from Excel to determine if there is a positive linear relationship between age of client and investment account balance. Test using a significance level of .01. Balance Age ($1000s) 34 38 57 87 44 129 Coefficients Standard Error t stat 183.89 3.522 56 342 Intercept X variable -226.69 50 770 -1.23 2.87 10.104 44 200 54 430 39 55 67 453 29 76 43 230 76 427 m ib 43 188 70 546 275 Linear Regression and Correlation
4)

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