Answered: 002 49 Q1. [6 points] :From the…

002 49 Q1. [6 points] :From the following data set 1 4. 6. 11 16 1.find correlation coefficients 2. Estimate the simple linear regression model 3. Find the predicted value of y when x-10

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.4: Linear Regression

Problem 12SBE: Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4

See similar textbooks

Related questions

Q: Consider the following data for two variables, x and y. 9 32 18 15 26 y 11 21 22 17 23 (a) Develop…

A: Let y^ denotes the predicted value of the dependent variable y. The values of x2 is determined using…

Q: Which of the following best describes a regression coefficient in a bivariate setting? a. The…

A: Correct answer is d. All of the above

Q: 233 4SS G6 10 11 12 15 19 20 18 Pind the regression ne for the data. Assumeis the dificuty level and…

A: We have given that, X:- 2, 3, 3, 4, 5, 6, 6, 6 Y:- 10, 11, 12, 9, 15, 19, 20, 18 Then, We will find…

Q: 1 3 11 4 5 -2 9. x-3-1 6 y 19 14 12 16 and standard deviations for x and y are given below The 2=…

A: X: -3, -1, 6, 3, 1, 0, 2, 4, 5, -2 Y: 19, 14, 2, 7, 11, 12, 9, 4, 3, 16 Then, We will find the…

Q: 20. For the following data: a. Find the regression equation for predicting Y from X. b. Calculate…

A: Given, n=6. Calculation: X Y X2 Y2 XY 3 3 9 9 9 6 9 36 81 54 5 8 25 64 40 4 3…

Q: Which of the following four statements is correct? Let f(x) = 2 + 5x be a linear regression line…

A: The scatter plot is used to observe the relation in between variables. It consists of data points.…

Q: Suppose that you run a correlation and find the correlation coefficient is -0.256 and the regression…

A: Given regression equation is ˆy=−5.8x+56.92 If x= 5.4 y=?

Q: 4. The following data represents the number of days absent, x, and the final grade, y, for a sample…

A: (a) Use EXCEL to obtain the value correlation coefficient r: EXCEL procedure: Go to EXCEL Go…

Q: Which of the following statements is NOT correct about slope of a regression line? O a. A slope of…

Q: 20. A survey was conducted to study the retationship between expenditure on accommodation (X) and…

Q: A sample of sunshine (x) in percent and temperature in O Fahrenheit (y) is recorded below to perform…

Q: Suppose that you run a correlation and find the correlation coefficient is -0.436 and the regression…

A: Here you're given the correlation coefficient (r) is -0.436 and the regression equation is y⏞ = -…

Q: Which of the following expressions is the correct way to express an interpretation for an OLS…

A: Which of the following expressions is the correct way to express an interpretation for an OLS…

Q: Q1. Consider the following data: 4 6. 5 3 y 6 4 5 4 Find out the following: (i) (ii) Karl Pearson…

A: x y x2 y2 (x-x) (x-x)2 (y-y) (y-y)2 xy 4 6 8 12 0 0 0.8 1.6 24 6 5 12 10 0.8 1.6 5 10 30 5 5…

Q: & Obtain the regression equations from the data given below: 1 2 9 8 3 4. 6. 8 10 12 11 13 14 16 15…

A: Solution is given:

Q: 1. Formulate the regression equation for the data. 2. What would be the likely blood pressure…

A: The question is about regression Given :

Q: Q12. Identify the correct statement concerning, r the correlation coefficient between X and Y and…

A: The general form of the regression line is: Y=ax+b Where Y is the predicted value, 'b' is the…

Q: out 4 8 6. in Calculate: I) II) II) 10 11 9. 12 15 18 20 17 19 23 28 24 Linear correlation…

Q: 11. Following data are given for marks in English (X) and marks in Maths (Y) at a certain…

Q: The equation of the regression line between two variables xx (independent variable) and yy…

A: Given : y^=−3x+2

Q: The overall purpose of regression analysis is: a) to lessen our error in making predictions b)…

A: The purpose are as follows 1. To lessen our error in making predictions because as the error…

Q: A random sample of nonindustrialized countries was selected, and the life expectancy in years is…

A: Given : r = -0.003 α = 0.05 n = 6 Hypothesis : H0 : ρ = 0 H0 : ρ ≠ 0 Test statistic, t = r×n-21-r2…

Q: Consider the following estimated regression equation: y' = 5.2 - 10.3x If (x = 10, y = -100) was one…

Q: The following estimated regression model was developed relating yearly income (y in $1000s) of 30…

A: we wants to calculate the multiple coefficient of determination is that is R2 . given information:…

Q: Consider the set of ordered pairs shown below. Assuming that the regression equation is y=2.063…

A: Given: The regression equation is: y^=2.063+0.531x SSE=4.813 x=5

Q: Q.1) a) Use least-squares regression to fit a straight line to 11 6 7 6 9 x | 0 4 6 12 15 17 19 y 8…

A: Given: The provided data is: x 0 2 4 6 9 11 12 15 17 19 y 5 6 7 6 9 8 7 10 12 12 The number…

Q: Use the following linear regression equation to answer the questions. (d) x1 = 1.0 + 3.9x2 – 8.4x3 +…

Q: Suppose that you run a correlation and find the correlation coefficient is -0.596 and the regi…

A: The p-value for the slope is greater the level of significance of 0.05.

Q: 6. 11 6. 16 1.find correlation coefficients 2. Estimate the simple linear regression model 3. Find…

Q: Consider the following regression equation: Y = 30 + 8X. If SSE = 720 and SS Total = 1,200, then the…

Q: Use multiple linear regression to fit the following tabulated data: х1 1 1 8 8. x2 6. y 14 21 11 12…

A: Given data, x1 x2 y 1 0 14 3 2 21 1 2 11 8 4 12 2 4…

Q: Qs- For the following data: 1 2 3 4 5 6 7 y, 9 13 14 17 18 19 19 20 a- Find the least square…

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

Q: Which of the following is/are true if the coefficient of determination between the response and the…

A: The coefficient of determination between the response and predictor variable is 81% for a random…

Q: Given that the equation of a regression line is y = 4x -8, what is the best predicted value for y…

A: GivenThe equation of Regression line y^=4x-8x=7

Q: Which of the following formulas describes of the Durbin-Watson test statistic and the coefficient of…

A: From given information : i.e.

Q: 4) Use the given data to find the equation of the regression line. Round the final values to three…

Q: 2 4 10 y 10 13 57 33 27 1) Find Σ E (zy) 2) Find the Correlation Coefficient r round off up to 3…

A: The given data is, X Y 2 10 4 13 10 57 6 33 5 27

Q: Given the following data n= 5, Σ x = 15, Σ ( -X)10. Σ (-7- 26, Σ ( ΧYY-= 13 Compute the…

A: Given n=5, ∑x=15, ∑y=20, ∑X-X¯2=10, ∑Y-Y¯2=26, ∑X-X¯Y-Y¯=13

Q: *Consider the following table, and answer the following Two questions Q8. Find the linear regression…

A: Note: According to Bartleby expert guidelines, we can answer only first question with their three…

Q: 15. The following calculations have been made for the price of 12 stocks (X) on BSE on a certain day…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Q5/ Use Linear Regression to fit the following data: 2 10 1 4 5 6 Y 4 10 9 3

Q: Suppose that you run a correlation and find the correlation coefficient is 0.421 and the regression…

A: The correlation coefficient is 0.421 and the critical value is 0.396.

Q: Q#2: (a) Calculate the estimated multiple linear regression equation for the following data using…

A: Given : ∑y=89,∑x1=30,∑x2=52,∑x12=238,∑x22=582, ∑x1y = 619,∑x1x2=351,∑x2y=1007,n=5

Q: c) Show that the coefficient of determination, R2, can also be obtained as the squared correlation…

Q: 8. For the following data: a. Find the regression equation for predicting Y from X. b. Calculate the…

Q: Please answer the following multiple choice question. View attached image for the question

Q: The mortality rate of a sample of the population as a function of daily tobacco consumption can be…

A: Given data :

Q: 1 344 u72 For the following set of data, find the linear regression equation for predicting Y from…

A: Solution: 7. From the given information,

Q: Use the following linear regression equation to answer the questions. x1 = 2.0 + 3.6x2 – 7.8x3 +…

A: Given : The given linear regression equation is x1 = 2.0 + 3.6x2 – 7.8x3 + 2.1x4

Q: 12. Which of the following statistic in the Multiple Regression Analysis SPSS output shows the…

A: The regression analysis is a statistical procedure that allows us to find the linear association…

Question

69
Q1. [6 points] :From the following data set
3\
9.
1
6.
5.
4
11
16
1.find correlation coefficients
2. Estimate the simple linear regression model
3. Find the predicted value of y when x-10

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

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
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?
For 40 eruptions of the Old Faithful geyser in Yellowstone National Park, duration times (sec) were recorded along with the heights (ft) of the eruptions. The linear correlation coefficient is r = 0.0915 and the regression equation is = 119 + 0.0331x, where x represents duration time. The mean of the 40 duration times is 245.0 sec and the mean of the 40 heights is 127.2 ft. What is the best predicted height of an eruption with a duration time of 120 min?
One set of 20 pairs of scores, X and Y values, produces a correlation of r = 0.70. If SSY = 150, calculate the standard error of the estimate for the regression line
The Linear regression is used to predict Y from X in a certain population. In this population, SSY is 50, the correlation between X and Y is .5, and N is 100. What will be the standard error of the estimate?
If the coefficient of determination for a simple regression is 38.9534%, what is the correlation value between the dependent and independent variable? Assume that the variables have a positive relationship. Enter your answer as a decimal.
On the second sheet is data which shows the rate of growth of a particular patch of bamboo vs daily high temperature.(a) Construct a scatterplot, including the equation of the line of best fit and value of R2.(b) What would the predicted growth rate be for a day with a temperature of 84◦?(c) Is there evidence, at α = 0.01, to support a claim that there is a linear relationship between temperature and growth rate? Please state clearly the null hypothesis, the alternative hypothesis, and what decision you make.
Consider the following set of ordered pairs. Assuming that the regression line is y= 2.205 + 0.645x and that the SSE = 7.7180, test to determine if the slope is not equal to zero using a= 0.10. I am having trouble, please help!
If an estimated regression line has a y-intercept of 10 and a slope of -4, then when x= 2, the predicted value of y is?
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:
Suppose the entering freshmen at a certain college have a mean combined SAT score of 1231 with a standard deviation of 122 In the first semester, these students attained a mean GPA of 2.64, with a standard deviation of 0.53. A scatterplot showed the association to be reasonably linear, and the correlation between SAT score and GPA was 0.47 How do i find the regression line using the equation
A set of n = 15 pairs of X and Y values has a correlation of r = +0.80 with SSY = 75, and the regression equation for predicting Y is computed. Find the standard error of estimate for the regression equation. How big would the standard error be if the sample size were n = 30.