HoursExam Grades162266268267374378375476481582682685788886984989992108611971291Task: The following data set describes the hours a sample of scholars put into studying and the Exam scores they received. Answer the following questions Create a scatterplot of hours studied vs. exam score Write 2-3 research questions for this study and supporting Hypotheses.Is there a relationship between hours vs exam scores? Describe the trends you observed from the scatterplot between the two variables.What is the value of the correlation coefficient? Briefly explain what this result means.Create a scatterplot of hours studied vs. exam score with a regression line. Find an equation with the following form that best describes the relationship between the two variables:ŷ = b0 + b1xwhere:ŷ: The predicted value of the response variableb0: The y-intercept (the value of y when x is equal to zero)b1: The regression coefficient (the average increase in y for a one unit increase in x)x: The value of the predictor variable5. Interpret this equation from above.6.We can also use this equation to predict the score that a student will receive based on the number of hours studied. Find the predicted score for a student who studied for 6 hrs, 8 hrs, 10 hrs, and 12 hrs.7.What is the value of the Coefficient of Determination, Describe your result.8.Write up your conclusion based on the data provided.plz run in spps and answer all the quesatisons

Answer will be provided only for first three questions.Scatterplot is a visualization technique for…

Answered: Answer the following questions Create…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 22EQ

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Question

Hours	Exam Grades
1	62
2	66
2	68
2	67
3	74
3	78
3	75
4	76
4	81
5	82
6	82
6	85
7	88
8	86
9	84
9	89
9	92
10	86
11	97
12	91

Task: The following data set describes the hours a sample of scholars put into studying and the Exam scores they received.

Answer the following questions

Create a scatterplot of hours studied vs. exam score
Write 2-3 research questions for this study and supporting Hypotheses.
Is there a relationship between hours vs exam scores? Describe the trends you observed from the scatterplot between the two variables.
What is the value of the correlation coefficient? Briefly explain what this result means.
Create a scatterplot of hours studied vs. exam score with a regression line. Find an equation with the following form that best describes the relationship between the two variables:

ŷ = b0 + b1x

where:

ŷ: The predicted value of the response variable
b0: The y-intercept (the value of y when x is equal to zero)
b1: The regression coefficient (the average increase in y for a one unit increase in x)
x: The value of the predictor variable

5. Interpret this equation from above.

6.We can also use this equation to predict the score that a student will receive based on the number of hours studied. Find the predicted score for a student who studied for 6 hrs, 8 hrs, 10 hrs, and 12 hrs.

7.What is the value of the Coefficient of Determination, Describe your result.

8.Write up your conclusion based on the data provided.

plz run in spps and answer all the quesatisons

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