The following data gives the number of hours 7 students spent studying and their corresponding grades on their midterm exams. Hours of Studying (x) 0 1 2.5 3 4 4.5 5.5 Midterm Exam Grades (y) 60 69 72 75 78 81 90 Using this data, find the following: PART A: Calculate the correlation coefficient, r. Round your answer to THREE decimal places. PART B: Using a 0.05 significance level, is there a statistically significant correlation between hours of studying and the midterm exam grade? YES OR NO? Explain your process for determining your answer. Be specific! PART C: Find an equation of the least-squares regression line. Round your numbers in the equation to three decimal places, if necessary. Type your equation using the EQUATION EDITOR.

The following data gives the number of hours 7 students spent studying and their corresponding grades on their midterm exams. Hours of Studying (x) 0 1 2.5 3 4 4.5 5.5 Midterm Exam Grades (y) 60 69 72 75 78 81 90 Using this data, find the following: PART A: Calculate the correlation coefficient, r. Round your answer to THREE decimal places. PART B: Using a 0.05 significance level, is there a statistically significant correlation between hours of studying and the midterm exam grade? YES OR NO? Explain your process for determining your answer. Be specific! PART C: Find an equation of the least-squares regression line. Round your numbers in the equation to three decimal places, if necessary. Type your equation using the EQUATION EDITOR.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2BGP

See similar textbooks

Related questions

Q: A study was done to look at the relationship between number of vacation days employees take each…

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

Q: A biologist looked at the relationship between number of seeds a plant produces and the percent of…

A: You have posted multiple sub parts. As per Bartleby rules, I am solving 3 sub parts. Please re-post…

Q: What is the relationship between the attendance at a major league ball game and the total number of…

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

Q: What is the relationship between the attendance at a major league ball game and the total number of…

A: We have given that data Attendance 55 11 36 57 23 11 24 49 11 37 48 49 Runs 7 -0 9 9 5 5 6 7 2…

Q: A biologist looked at the relationship between number of seeds a plant produces and the percent of…

A: Correlation coefficient(r):The correlation coefficient, r is given by,

Q: A Statistics professor wants to determine how students’ final grades are related to the midterm exam…

A: Given data: Final Grade (y) Midterm Grade (x1) Classes Missed (x2) 81 75 1 90 80 0 86 91 2…

Q: Listed below are numbers of Internet users per 100 people and numbers of scientific award winners…

A: Given data : X Y 79.9 5.4 80.4 9.3 57.1 3.3 66.5 1.7 77.5 10.5 37.9 0.1

Q: Based on the data shown below, calculate the correlation coefficient (rounded to three decimal…

Q: Draw a scatterplot by hand. a. Compute the Pearson Correlation Coefficient r =

A: Provided information is, Participant X Y A 2 6 B 3 3 C 4 2 D 7…

Q: A biologist looked at the relationship between number of seeds a plant produces and the percent of…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: The data below are the number of absences and the final grades of 9 randomly selected students from…

Q: A study was done to look at the relationship between number of movies people watch at the theater…

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

Q: Listed below are numbers of Internet users per 100 people and numbers of scientific award winners…

A: Construct a scatter plot using the given data: The above scatter plot resembles the option (A). Use…

Q: Listed below are numbers of Internet users per 100 people and numbers of scientific award winners…

A: Given: Internet users Award Winners 79.9 5.4 80.4 9.3 57.1 3.3 66.5 1.7 77.5 10.5…

Q: The accompanying table shows the ages (in years) of 11 children and the numbers of words in their…

Q: The chart below shows the results of a sample of 10 workers from a large company. Employee Years of…

A: The independent variable is Years of Experience. The dependent variable is Income. The given data…

Q: The following data gives the number of hours 7 students spent studying and their corresponding…

A: Solution-: We determine correlation coefficient and test it is statistically significant or not.

Q: What is the relationship between the attendance at a major league ball game and the total number of…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: The following table represents the number of hours spent gaming the week before an exam versus the…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: The following data show the number of hurricanes to directly strike a certain country each decade. A…

A: From the given information, the correlation coefficient is 0.947. The hypotheses are given below:…

Q: Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in…

A: Solution a) construct scatter plot Answer : Option A) shows scatter plot b) Linear correlation…

Q: The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid…

A: Formula for correlation coefficients r. r= SSXY/√SSXX*SSYY

Q: A study was done to look at the relationship between number of vacation days employees take each…

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

Q: A local ice cream shop kept track of the number of cans of cold soda it sold each day, and the…

A: Correlation coefficient measures the strength and direction of the linear relationship between two…

Q: The following table shows the selling prices, in thousands of dollars, and the square footages of…

A: The given correlation coefficient is 0.545.

Q: The following data gives the number of hours 10 students spent studying and their corresponding…

A: Step-by-step procedure to obtain the correlation coefficient using MINITAB software:Step 1: Select…

Q: 1. A student is given an assignment of showing relationship between family size and the amount spent…

A: Given : Claim : there is significant difference between the two Variables.

Q: A teacher believes that the number of days a student was absent from the class will affect his/her…

Q: The data below are the final exam scores of 10 randomly selected history students and the number of…

Q: The data below are the number of absences and the final grades of 9 randomly selected students from…

A: Given: n=9

Q: Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a…

A: Steps to construct scatter plot in Excel: Enter the data for Bill and Tip in Excel sheet>Select…

Q: Based on the data shown below, calculate the correlation coefficient (rounded to three decimal…

Q: Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a…

A: Given Information:

Q: The average number of people in a family attending college for various years is given in the table…

A: First we will calculate the Correlation coefficient : Year (x) 1969 1973 1975 1979 1983 1988 1991…

Q: The table below shows the midterm exam score (x) and the final exam score (y) for randomly chosen 7…

A: a)Draw the scatterplot for the given data- It is clear from the scatter plot that there is…

Q: The following data set shows the number of chirps in one minute from a cricket and the temperature…

A: Given data: X Y 87 64.2 105 55.1 115 70.1 131 66.3 133 60.9 144 65.4 159 64.5 177…

Q: In each of the following cases, determine whether a significant degree of rank correlation exists,…

Q: A study was done to look at the relationship between number of vacation days employees take each…

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

Q: The data below are the final exam scores of 10 randomly selected statistics students and the number…

Q: 3. The following table shows the annual income, in dollars, and amount spent on vacation, in…

A: The independent variable is INCOME. The dependent variable is VACATION. This is simple linear…

Q: A study was done to look at the relationship between number of vacation days employees take each…

A: Solution: Given data

Q: Listed below are numbers of Internet users per 100 people and numbers of scientific award winners…

A: Use EXCEL to construct the scatter plot. EXCEL procedure: Go to EXCEL Go to Insert menu…

Q: A biologist looked at the relationship between number of seeds a plant produces and the percent of…

Q: A study was done to look at the relationship between number of movies people watch at the theater…

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

Q: Listed below are the numbers of commuters (X) and the numbers of parking spaces (Y) at different…

A: Given data is X(Commuters) Y(Parking spaces) 3453 1658 1355 672 1122 300 3125 957 2650…

Q: Listed below are the amounts of bills for dinner and the amounts of the tips that were left.…

Q: The following table shows the number of years of work experience and the crime rate ratings for…

A: Solution: Let X be the number of years of work experience and Y be the crime rate ratings. The given…

Q: A company that produces and markets video games wants to estimate the predictability of per capita…

Q: A study was done to look at the relationship between number of movies people watch at the theater…

Q: Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a…

A: Solution

Question

The following data gives the number of hours 7 students spent studying and their corresponding grades on their midterm exams.

Hours of Studying (x)	0	1	2.5	3	4	4.5	5.5
Midterm Exam Grades (y)	60	69	72	75	78	81	90

Using this data, find the following:

PART A: Calculate the correlation coefficient, r. Round your answer to THREE decimal places.

PART B: Using a 0.05 significance level, is there a statistically significant correlation between hours of studying and the midterm exam grade? YES OR NO? Explain your process for determining your answer. Be specific!

PART C: Find an equation of the least-squares regression line. Round your numbers in the equation to three decimal places, if necessary. Type your equation using the EQUATION EDITOR.

Definition Definition Relationship between two independent variables. A correlation 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.

Expert Solution