The following estimated regression equation based on 10 observations was presented.ŷ = 23.1170 + 0.5101x, + 0.4920x2%3DHere, SST = 6,722.125, SSR = 6,224.375,0.0816, and= 0.0569.%3Dzas(a) Compute MSR and MSE. (Round your answers to three decimal places.)MSR =MSE =(b) Compute F and perform the appropriate F test. Use a = 0.05.State the null and alternative hypotheses.Но: В + 0 and B, + 0H: One or more of the parameters is equal to zero.Ho: B1 > B2Hg: Bq s BzHo: B1 = B2 = 0: One or more of the parameters is not equal to zero.%DHo: B1 < B2Ho: B1 + 0 and ß, = 0%3DHa: B1= 0 and B, # 0Find the value of the test statistic. (Round your answer to two decimal places.)F =Find the p-value. (Round your answer to three decimal places.)p-value =State your conclusion.Reject Ho. There is sufficient evidence to conclude that the overall model is significant.Do not reject Ho. There is sufficient evidence to conclude that the overall model is significant.Reject Ho. There is insufficient evidence to conclude that the overall model is significant.Do not reject Ho. There is insufficient evidence to conclude that the overall model is significant. (c) Perform at test for the significance of B,. Use a = 0.05.State the null and alternative hypotheses.Ho: B1 > 0Ho: B1 = 0Ha: B1 + 0Ho: B1= 0Ha: B1 > 0Ho: B, + 0H3: B1 = 0Hoi B1H3: B1 2 0< 0Find the value of the test statistic. (Round your answer to two decimal places.)t =Find the p-value. (Round your answer to three decimal places.)p-value%DState your conclusion.Do not reject Ho. There is sufficient evidence to conclude that B, is significant.Reject Ho.There is sufficient evidence to conclude that ß, is significant.Reject Ho. There is insufficient evidence to conclude that ß, is significant.Do not reject Ho: There is insufficient evidence to conclude that B, is significant.(d) Perform at test for the significance of B,. Use a = 0.05.State the null and alternative hypotheses.Ho: B2 > 0Ha: B2s 0Ho: B2 = 0Ha: B2 > 0

Given information: The sample size is n = 10. The given values are as follows:

Answered: The following estimated regression…

The following estimated regression equation based on 10 observations was presented. ŷ = 23.1170 + 0.5101x, + 0.4920x2 6,224.375, Sby = 0.0569. Here, SST = 6,722.125, SSR = = 0.0816, and

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

See similar textbooks

Related questions

Q: Suppose the following table was generated from sample data of 20 employees relating hourly wage to…

A: Let us define the dummy variable as follows: Degree = 1 ; For Yes = 0 ; For No Given…

Q: What is the expected weight of a chimpanzee that is 157 cm tall?

A: Here Given Regression Equation Y = 0.34x + 19.5 Where Y = Weight in Kg x = Height in cm And…

Q: The following estimated regression equation based on 30 observations was presented. ŷ= 17.6+…

A: The value of SST is 1801 and the value of SSR is 1756.

Q: Find the equation of the regression line for the given data. Round values to the nearest thousandth.…

Q: The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 +…

A: (a) Obtain the value of r square. The value of r square is obtained below as follows: From the…

Q: From the given data, calculate the regression equations taking deviation of items

A: From the given data , our aim is to find the regression equation. y=a+bx

Q: The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x,…

Q: A regression between foot length(response variable in cm) and height (eexplanatory variable in…

A: From the given information, The regression equation can be shown below: y⏞=10.9+0.23x Where Y =foot…

Q: PLease help!

A: Given strong positive correlation between number of hours of binge watching Sesame street (X) and…

Q: Which of the following is not a plot of residuals typically used in multiple regression analysis?…

A: It is an important part of statistics. It is widely used.

Q: Given this information, the calculated test statistic for the regression slope coefficient on the…

A: True(Verdadero). Test statistic=estimate of the variable/SE

Q: The following data relate to marks obtained by 250 students in Example Accountancy and Statistics in…

A: Solution is given: Hope the answer is helpful.

Q: A multiple linear regression model based on a sample of 18 weeks is developed to predict standby…

Q: The following results were obtained from a Linear Regression Analysis. Predicted Miles = 37.2895 -…

Q: According to World Health Organization (WHO), the recommended limit for a noise level inside a…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: midterm score in a large statistics class was 65 with an SD of 15. The average final score in the…

Q: A sample of n = 15 pairs of X and Y scores produces a Pearson correlation of r = 0.45, SSY = 90. a)…

Q: In a regression analysis involving 30 observations, the following estimated regression equation was…

A: The sum of square for regression is 1,810, and total sum of square is 1,855. The sum of squares for…

Q: The following estimated regression model was developed relating yearly income (Y in $1,000s) of 30…

Q: The following estimated regression equation based on 10 observations was presented. ý = 29.1260 +…

A: Given : n = 10 y^=29.1260+0.5105x1+0.4680x2SST=6715.125SSR=6229.375We want find,SSE=?R2=?Ra2=?

Q: The following results are from data concerning the amount withdrawn from an ATM machine based on the…

A: It is given that the number of seconds spent at the ATM machine is 20.

Q: Assume a person got score of 32.5 on Test A and a score of 95.25 on Test B. Using the regression…

Q: Given the following data n=5. Σ x= 15, Σ (X - Χ:-10, Σ (r - )' = 25. Σ (X - ΣΧΥ-7- 3 Compute the…

A: Given: n=5, ∑x=15, ∑y=20, ∑x-x2=10, ∑y-y2=26 and ∑x-xy-y=13. Then,x=∑xn=155=3y=∑yn=205=4

Q: In exercise 1, the following estimated regression equation based on 10 observations was presented.…

A: The following estimated regression equation based on 10 observations was presented.…

Q: The regression equation is Ý= 29.29 – 0.84X, the sample size is 23, and the standard error of the…

A: The sample size n is 23.

Q: The following estimated regression equation is based on 30 observations. ŷ = 17.1 + 4x1 – 2.12 +…

A: Given that: sample size n=30 SST=1804 SSR=1761

Q: Consider the following: 1. Test for significance of the coefficient of determination 2. F-test for…

A: For give conclusions based on simple linear regression: the correct option is e) 2 and 4

Q: The following data relate to the marks of 10 students in the internal test and the university…

Q: In the following model, "employed" is a dummy indicating a person is employed: donation = B + B edu…

A: Dummy variables are those variables that can take the values such as 0 and 1. Dummy variable can be…

Q: Question 2: Accountants at the Renong and Khalid Accountant Company believed that several traveling…

Q: possible estimated errors

A: Let From given values of response and predictor we have to calculate Parameter β0 and β1We Know…

Q: The following table displays the mathematics test scores for a random sample of college students,…

A: There are two variables which are named as Mathematics test and SY16C grades. Mathematics test is…

Q: 4. Find the regression equation for predicting final score from midterm score, based on the…

A: For solution number 4 Given: y¯f=70sf=10x¯m=55sm=20r=0.60

Q: Find the equation of the regression line for the given data. Round values to the nearest thousandth.…

Q: Consider the multiple regression model shown next between the dependent variable Y and four…

A: Solution: Given information: n= 35 observation k = 4 independent variables Sum of square of…

Q: Answer the following questions using the SPSS regression analysis OUTPUT (given below): a. From the…

A: 3. a. From the SPSS output, the intercept is 76.960, and the slope is -4.495. The estimated…

Q: The following estimated regression equation based on 10 observations was presented. ŷ = 28.1270 +…

A: It is been asked to find the point estimate for mean and individual value of y for the provided…

Q: After performing a statistical regression on a set of data the value of the correlation coefficient…

A: Correlation: The extent linear relation between the two variables is called as correlation. Positive…

Q: In the following model, "employed" is a dummy indicating a person is employed: donation = B + B edu…

A: Regression is used to predict the value of dependent variable by using one or more independent…

Q: Suppose you wanted to test whether or not the payoff to an additional year of education was the same…

A: We want to test whether the pay-off for an additional year of education was same for mean and women…

Q: For the data shown below, Find the best -fit regression equation. 1.661 1.931| 0.545 0.186 0.010…

A: Step-by-step procedure to find the regression equation using Excel: In Excel sheet, enter X in one…

Q: a. Fit the regression equation of No. of Job Offers on Years of Work Experience. b. What will be the…

A: Given : Data represents years of work experience and number of job offers of 10 job seekers . The…

Q: Based on the following regression equation of teenage BMI, which one is the estimated BMI for a…

Q: The following estimated regression equation based on 10 observations was presented. ý = 27.1270 +…

A: The regression equation is, y-cap= 27.1270+0.5906x1+0.3980x2 a. The point estimate of the mean value…

Q: . Consider the following table of estimated regressions, computed using data for 2012 from the CPS.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: The Wall Street Journal asked Concur Technologies, Inc., an expense management company, to examine…

A: Given Information: Sample size n=9 Equation of the regression line: y^=17.49+1.0334x

Q: The trip rate (y) and the corresponding household sizes (x) from a sample are shown in Table Q2.…

A: Simple linear regression model: A simple linear regression model is given as y^ = b0 + bx + e…

Q: Suppose we run the following OLS regression JobStr = B1 + B2 M+ B3 Erp + B, Edu + u to explain an…

A: Solution: Given information: n= 300 Observation k= 3 independent variable F statistic = 30 RSS =…

Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

The following estimated regression equation based on 10 observations was presented.
ŷ = 23.1170 + 0.5101x, + 0.4920x2
%3D
Here, SST = 6,722.125, SSR = 6,224.375,
0.0816, and
= 0.0569.
%3D
zas
(a) Compute MSR and MSE. (Round your answers to three decimal places.)
MSR =
MSE =
(b) Compute F and perform the appropriate F test. Use a = 0.05.
State the null and alternative hypotheses.
Но: В + 0 and B, + 0
H: One or more of the parameters is equal to zero.
Ho: B1 > B2
Hg: Bq s Bz
Ho: B1 = B2 = 0
: One or more of the parameters is not equal to zero.
%D
Ho: B1 < B2
Ho: B1 + 0 and ß, = 0
%3D
Ha: B1
= 0 and B, # 0
Find the value of the test statistic. (Round your answer to two decimal places.)
F =
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject Ho. There is sufficient evidence to conclude that the overall model is significant.
Do not reject Ho. There is sufficient evidence to conclude that the overall model is significant.
Reject Ho. There is insufficient evidence to conclude that the overall model is significant.
Do not reject Ho. There is insufficient evidence to conclude that the overall model is significant.

(c) Perform at test for the significance of B,. Use a = 0.05.
State the null and alternative hypotheses.
Ho: B1 > 0
Ho: B1 = 0
Ha: B1 + 0
Ho: B1
= 0
Ha: B1 > 0
Ho: B, + 0
H3: B1 = 0
Hoi B1
H3: B1 2 0
< 0
Find the value of the test statistic. (Round your answer to two decimal places.)
t =
Find the p-value. (Round your answer to three decimal places.)
p-value
%D
State your conclusion.
Do not reject Ho. There is sufficient evidence to conclude that B, is significant.
Reject Ho.
There is sufficient evidence to conclude that ß, is significant.
Reject Ho. There is insufficient evidence to conclude that ß, is significant.
Do not reject Ho: There is insufficient evidence to conclude that B, is significant.
(d) Perform at test for the significance of B,. Use a = 0.05.
State the null and alternative hypotheses.
Ho: B2 > 0
Ha: B2s 0
Ho: B2 = 0
Ha: B2 > 0

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Correlation, Regression, and Association$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.
You spilled water on your calculations from (a) and can't remember what your estimated regression parameters are. But you do have two possible estimated errors for each of your initial four observations:
The following table displays the mathematics test scores for a random sample of college students, along with their final SY16C grades. a. Fit the regression line y = a+bx to the data and interpret the results. b. Use the regression equation to determine the SY16C grade for a college student who scored60 on their achievement test. What would their SY16C grade be?
An investigation into the relationship between an adolescent mother's age x in years and the birth weight y of her baby in grams yielded the regression equation y= - 1163.45 + 245.15x as well as r = .88369, r2= .78091, SSE = 337212.45, and s= 205.30844 1) What is the predicted birth weight for a baby brn to a 17 year old woman? 2) What is the propotion of the variability in the weights of babies born to adolescent mothers that is accounted for by the mother's age? 3) For every additional year in the mother's age that mean birth weight of the baby? (a) increases by about 245g (b) decreases by about 245g (c) increases by about 1163g (d) increases by about 1163g (e) changes by an amount that cannot be determined from the information given.
The estimated regression equation for a model involving two independent variables and 10 observations follows. Y=25.7067 + 0.2795x1 + 0.7337x2 A. Interpret b1 and b2 in this estimated trgression equation. B1 = ? B2 = ? Thank you
The estimated regression equation for a model involving two independent variables and 10 observations follows.
For the 2011 season, suppose the average number of passing yards per attempt for a certain NFL team was 6.1. Use the estimated regression equation developed in part (c) to predict the percentage of games won by that NFL team. (Note: For the 2011 season, suppose this NFL team's record was 7 wins and 9 losses. Round your answer to the nearest integer.)
The estimated value of Y calculated from the regression equation is denoted as ____.
What is the effect of this violation on the regression model? "The number of observations n is less than or equal to the number of parameters to be estimated"
Suppose the following data were collected from a sample of 5 car manufacturers relating monthly car sales to the number of dealerships and the quarter of the year. Use statistical software to find the following regression equation: SALESi= b0 + b1DEALERSHIPSi + b2 QUARTER1i+ b3QUARTER2i + b4QUARTER3i+ ei Is there enough evidence to support the claim that on average, car sales are higher in the 4th quarter than in the 2nd quarter at the 0.01 level of significance? If yes, write the regression equation in the spaces provided, rounded to two decimal places. Else, select "There is not enough evidence." Monthly Sales Number of Dealerships 1st Quarter (1 if Jan.-Mar., 0 otherwise) 2nd Quarter (1 if Apr.-Jun., 0 otherwise) 3rd Quarter (1 if Jul.-Sep., 0 otherwise) 4th Quarter (1 if Oct.-Dec., 0 otherwise) 85482 4 1 0 0 0 101319 9 1 0 0 0 121389 12 1 0 0 0 133677 18 1 0 0 0 194588 22 1 0 0 0 82128 4 0 1 0 0 150407 9 0 1 0 0 242714 12 0…
The admissions officer for a certain college developed the following estimated regression equation relating the final college GPA to the student's SAT mathematics score and high school GPA. ŷ = −1.39 + 0.0234x1 + 0.00482x2 where x1 = high-school grade point average x2 = SAT mathematics score y = final college grade point average. #1)A high-school average 84 corresponds to x1 = 84 and a score of 535 on the SAT mathematics test corresponds to x2 = 535. Substitute these values into the estimated regression equation to find the final college GPA, rounding the result to two decimal places. GPA = −1.39 + 0.0234x1 + 0.00482x2 = -1.39 +0.0234 (_____________) + 0.00482 (535) = __________________