1. The table below gives the number of hours a student spent studying for a test and their grade.a.) Draw a scatter plot of the data.Hours SpentStudying322510.543Grade on Exam84779270609075b.) Draw the best fit line through the points(5,92) and (1, 70).Grade on Exam90807060c.) Is the correlation positive, negative, or none?f.) Write the equation of the best fit line.50d.) Find the slope of the best fit line: (5, 92) & (1,70)(round to one decimal)0 2 4 6 810Hours Spent Studyinge.) What does the slope mean?T1-04 PlusTEXASg.) Predict the grade for a student who studied for 2.5 hours. Is this an extrapolation or interpolation?

The data corresponds to the number of hours a student has studied and the grades received. Hours…

Answered: 1. The table below gives the number of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Which of the following is the best estimate for the correlation r of the data in the scatterplot below! Answer choices: a.) 1.00 b.) 0.80 c.) -0.83
Use the data from the given table of values to determine the correlation. In the answer space provided, give the r-value rounded to the hundredth. X Y 2 77 5 92 1 70 0 63 4 90 2 75 3 84
2. The number of hours 13 students spent working on a project and the grade they earned Hours spent on 6| 7 1 2 4 4 5 7 8 project, x Project Grade, y 50 65 71 78 74 70 83 85 98 85 84 90 95 type of correlation: Conclusion: 6
8) Hours of sleep per day vs. Age Hours of sleep per day T N 10 20 Age 30 Consider the scatter plot that shows a y = 0.0789x + 9.02 person's age and the r² = 0.606 number of hours they sleep per night. 40 a) Briefly describe the type and strength of the correlation. b) To determine the number of hours that a 75-year-old would sleep, you would use (fill in the blank with interpolation or extrapolation).
The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Calculate the correlation coefficient, r. number of absences x 2 5 8 6 11 4 17 10 7 final grade y 73 94 57 78 84 100 88 82 84
1. A medical student is studying heart rate. The student wants to know if there relationship between age and heart rate. She collects the following data from children selected at random. Heart rate Age (yrs) 92 89 90 84 79 102 108 12 86 14 a) Make a scatter plot of the data. b) Describe the relationship(positive, negative and none) you see between heart rate and age and determine the type of correlation (linear or non-linear) that exists. Relationship Туре» c) Draw a line of best fit. d) What do you think is the heart rate of a newborn baby? Justify your answer. e) What do you think is the heart rate of someone who is 20 years old? What type of prediction is this?
Jim and Larry run a soup stand. The data below represents the sales of soup that they had on 8 randomly selected days, along with the high temperature on that day. a) Create a scatter diagram for this data set and comment on whether there is a positive or negative relationship between these variables.b) Calculate the correlation coefficient between temperature and sales.c) Does a linear relationship exist between these variables? Explain to me why or why not this is the case.d) Using excel, calculate the least squares regression equation for this data set. e) Using your equation, predict the soup sales on a day where the temperature is 29 degrees.f) Interpret the slope of this equation.g) Can we use this data set and regression equation to predict the sales on a day when the average temperature is 102 degrees? Why or why not?h) What is the R-squared for this equation? How do you interpret that R-squared?
The following data gives the number of hours 10 students spent studying and their corresponding grades on their midterm exams, Hours spent studying 0.5 1 1.5 2 2.5 4 4.5 5 5.5 6 Midterm Grades 63 69 75 78 81 84 90 93 96 99 Draw a scatter plot of the given data. Select a location in the chart to plot a point. Points can be moved by dragging or using the arrow keys. Estimate the correlation in words: positive, neagative, no correlation Calculate the correlation coefficient, r. Round your answer to three decimal places. Hours unspervised 0 1 2 4 5 Overall Grades 100 92 88 84 72 Calculate the correlation coefficient, r. Round your answer to three decimal places. Determine whether the given correlation coefficient is staatically significant at the specified level of significance and sample size. r=0.452 ,a=0.005, n=28
3. The speed (in miles per hour) of 8 vehicles and their braking distance (in feet) when stopping on a dry surface speed, x braking distance, y 20 30 40 50 50 60 65 70 55 72 75 110 138 162 193 225 type of correlation: Conclusion
A local store kept track of the number of advertisements it placed in local newspapers and the number of stereo systems it sold each week. Week 1 2 3 4 5 6 7 8 Advertisements, x 7 5 4 2 8 5 5 3 Stereos Sold, y 23 15 12 8 2 7 9 6 a) Create a scatter plot for the data showing Advertisements Vs. Stereos Sold. b) Determine the value of r, the correlation coefficient for the set of data and classify the type of correlation. c) What does this correlation coefficient suggest about the effectiveness of the advertisements? Explain
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a teacher asked her students how many hours of sleep they had the night before a test. what type of correlation does your graph show? Determine a equation line of best fit BY HAND using the points 7,90 nd 6,76. hours slept : 8 7 7 8 6 5 7 4 9 7 score 83 86 74 88 76 63 90 60 89 81

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