9. A study was conducted to determine the correlation between the number of absences and the final grades of ten randomly selected students from a statistics class. The equation of the least- squares regression line is: y =-3.62x +102.49

9. A study was conducted to determine the correlation between the number of absences and the final grades of ten randomly selected students from a statistics class. The equation of the least- squares regression line is: y =-3.62x +102.49

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

See similar textbooks

Related questions

Q: You are interested in how part-time versus full-time statuss affects the probability of having a…

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: A software firm collected data for a sample of 30 computer programmers. A regression analysis can be…

Q: A recent campus bookstore survey sought to determine if there is a relationship between new textbook…

A: Given, The least-squares regression line for the study is y = 38.04 + 0.12x Where x is the number of…

Q: A regression was run to determine if there Is a relationship between the happiness index (y) and…

A: In multiple linear regression, there will be more than one independent variable. In simple linear…

Q: Give an example of a research question that would be suitable for computing a: a) Correlation…

A: a) Research question: Researchers are interested to know whether advertisement leads to high sales.…

Q: Is CEO compensation related to a company's performance? To test whether CEO compensation and a…

A: Given.... To test whether CEO compensation and a company's stock performance are related, a…

Q: In a random sample of pediatric patients at a local hospital, the age of a patient and the patient's…

A: The value of r is 0.8.

Q: The file P10 14V2.xlsx I includes data on the 50 top graduate programs in the United States,…

A: Given: SALARY OVERALL SCORE GMAT GPA 145987 100 720 3.2 135971 99 726 3.3 121544 93 710…

Q: regression line.

Q: What is the slope of the least-squares regression line for these data? Carry your intermediate…

A: Given table : cost (x) Sales (y) 4.05 6.97 1.34 6.39 1.69 6.19 2.30 6.63 3.96 6.78…

Q: lecturer would like to know if the foundation Cumulative Grade Point Average (CGPA) predicts the…

A: (i) The slope of the regression line is, Thus, the slope of the regression line is 0.6748.…

Q: A simple random sample of 100 men aged 25–34 averaged 70 inches in height, and had astandard…

Q: 7. Why is the strength of the correlation between Y and X important in regression analysis?

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

Q: If the correlation coefficient is zero, the slope of a linear regression line will be a. positive…

Q: A researcher would like to predict the dependent variable Y from the two independent variables X1…

A: go to excel > data > data analysis > regression: OUTPUT:

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 fish in my pond have mean length of 10.78 inches and mean weight 4.27 pounds. The correlation…

A: the regression equation of y on x is given as : y^ - y¯ = byx (x - x¯) let us assume: y: the…

Q: The weight (in pounds) and height (in inches) for a child were measured every few months over a…

A: Least squared regression - minimizes the sum of the squared distances from the actual y-value to the…

Q: Find the equation of the least-squares regression line ŷ and the linear correlation coefficient r…

Q: B6. Data were collected for the fuel consumption, y, of 10 cars of each of k = 3 brands, i.e. n =…

Q: A researcher recorded the number of e-mails received in a month and the number of online purchases…

A: We are testing whether the slope is positive or not Therefore, it is a right tailed test

Q: If the linear correlation coefficient between the explanatory variable (x) and response variable (y)…

Q: The calories and sugar content per serving size of ten brands of breakfast cereal are fitted with a…

A: Given: Intercept a = 78.3275 Slope b = 2.74239 Formula Used: The equation of regression line is: Y =…

Q: Mr. James, president of Daniel-James Financial Services, believes that there is a relationship…

A: Table: X Y X2 Y2 XY 14 24 196 576 336 12 14 144 196 168 20 28 400 784 560 16 30 256 900…

Q: An article included a summary of findings regarding the use of SAT I scores, SAT II scores, and high…

A: Coefficient of determination defines the variation in the response variable explained by the…

Q: A study is conducted to determine if there is a relationship between the two variables, blood…

A: The simple regression study is used to determine the significant relationship between the two…

Q: The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value.…

Q: 27. Researchers believed that an increase in lean body mass is associated with an increase in…

A: Given: slope (β1)>0P value =0.04 Hypothesis: H0: There is no linear relationship between two…

Q: If all the points in a scatter diagram lie on the least squares regression line, what must be the…

A: Correlation coefficient describes about the relationship between two variables. If the coefficient…

Q: If the R-square value for a simple linear regression model is 0.80 and the regression line has a…

A: Given that R2 = 0.80 And regression line has a negative slope

Q: Which of these choices is true for the slope of the least-squares regression line? It is unitless.…

A: The line of regression is given as y=a+bx, where 'a' and 'b' are constants. The constant 'b' is…

Q: An engineer wants to determine how the weight of a gas-powered car, x, affects the gas mileage, y.…

A: (d) No, it is not reasonable to use the least squares regression line to predict the miles per…

Q: Coastal State University is conducting a study regarding the possible relationship between the…

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

A: It was stated that the Wall Street Journal asked Concur Technologies, Inc., an expense management…

Q: The following table gives the data for the average temperature and the snow accumulation in several…

Q: Is CEO compensation related to a company's performance? To test whether CEO compensation and a…

A: Given , Regression equation : y^ =-0.161 +0.039x Slope = b1 = 0.039 y-intercept = b0 = -0.161…

Q: Compute the residual

A: here given regression line y = 24+5x residual = actual value - predicted value

Q: The fish in my pond have mean length 12 inches and mean weight 5 pounds. The correlation…

A: In this case, weight is the dependent variable (y) and length is the independent variable (x).

Q: 3. If the error term in a linear regression model is normally distributed, then the distribution of…

A: We have given that If the error term in a linear regression model is normally distributed then the…

Q: 3. A Ross MAP team is trying to estimate the revenues of major-league baseball teams during the…

A: Here, already we are having the feature for number winning of games, no need to add number of loosed…

Q: What is the equation of the least squares regression line for predicting their weights from their…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: 9.4. In forward stepwise regression, what advantage is there in using a relatively small a-to-enter…

A: Please check the solution below

Q: The fish in my pond have mean length 10 inches and mean weight 4 pounds. The correlation coefficient…

A: In the given question, mean values of length and weight and correlation coefficient are specified.…

Q: Suppose John is a high school statistics teacher who believes that watching many hours of TV leads…

Q: 7.Why is the strength of the correlation between Y and X important in regression analysis?

A: Let Y be the dependent variable and X be the independent variable in the regression analysis.

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

Question

A. Interpret the slope B. Interpret the y-intercept C. How many absences could the student have and still pass the course? Assume that 75% is passing

9. A study was conducted to determine the correlation between the number of absences and the
final grades of ten randomly selected students from a statistics class. The equation of the least-
squares regression line is:
y =-3.62x +102.49

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

In a random sample of pediatric patients at a local hospital, the age of a patient and the patient's height have a correlation of 0.8. If we use the age of the patients to predict their height, which of the following is a correct statement? a Sixty-four percent of the time, the least squares regression line accurately predicts height. b About 80% of a person's height can be explained by age, according to the regression line relating height and age. c Sixty-four percent of the variation in height can be explained by the variation in the age of a patient. d The least squares regression line relating height to age will have a slope of approximately 0.8. e About 80% of the time, age will correctly predict the height.
Given the estimated least square regression line y=2.48+1.63x, and the coefficient of determination of 0.81, What is the value of correlation coefficient?
When we use a least-squares line to predict y values for x values beyond the range of x values found in the data, are we extrapolating or interpolating? Are there any concerns about such predictions?
1. What is the equation of the least squares regression line for predicting their weights from their heights? 2. I'm 35 inches tall. Predict my weight. 3. What percent of all preschoolers are shorter than me? 4. What percent of all preschoolers are lighter than the weight you predicted for me? 5. How come you goy such different percentiles in the last two questions?
1. Prior to being hired, the ve salespersons for a computer store were given a standard sales aptitude test. For each individual, the score achieved on the aptitude test and the number of computer systems sold during the first 3 months of their employment are shown in the attached image. (a) Determine the least-squares regression line and interpret its slope. (b) Estimate, for a new employee who scores 60 on the sales aptitude test, the number of units the new employee will sell in her first 3 months with the company. (c) Find the standard error of estimate. (d) Find the r-square of the model.
If all the points in a scatter diagram lie on the least squares regression line, what must be the coefficient of correlation equal to