3. A study was conducted to determine whether there exists a relationship between the length oftime (in hours) a senior high school student spends reviewing his or her lesson a week beforethe final examination and his or her grade in statistics and probability. Eight randomly selectedsenior high school students provided the following data.x (hours)1013251812135218085958981y8478a. Construct a scatter plot for the given data.b. Draw the regression line that best fits the data.c. Find the slope and y-intercept of the regression line. Interpret the results.d.Determine the linear regression model.e.Predict the grade of a student who reviewed 14 hours a week before the final examinationin statistics and probability.88

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An economist wants to determine whether there is a linear relationship between a country's gross domestic product (GDP) and carbon dioxide emissions. The data are shown in the table below. c. Compute and interpret the correlation coefficient. d. Compute and interpret the coefficient of determination. e. Test for the significance of the linear relationship. Use a 0.05 level of significance. State your conclusion. Hint: Your conclusion is either of the following. • There is a significant linear relationship between a country's gross domestic product (GDP) and carbon dioxide emissions. • There is no significant linear relationship between a country's gross domestic product (GDP) and carbon dioxide emissions. GDP 1.6 3.6 4.9 1.1 0.9 2.9 2.7 2.3 1.6 1.5 (trillion dollars) Carbon Dioxide Emissions 428.2 828.8 1214.2 444.6 264 415.3 571.8 454.9 358.7 573.5 (millions of metric tons)
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. X Y 11.4 8.4 6.6 13.7 11 9.3 X = thousands of automatic weapons y = murders per 100,000 residents 3.7 7.5 This data can be modeled by the equation y = Answer = 2.4 2.6 2.4 0.4 6.3 5.9 6.2 4.1 to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Answer = 0.84x +4.01. Use this equation A) How many murders per 100,000 residents can be expected in a state with 6.2 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 6.9 thousand automatic weapons? Round to 3 decimal places.
A corporation administers an aptitude test to all new sales representatives. Management is interested in the possible relationship between test scores and the sales representatives' eventual success. The accompanying table records average weekly sales (in thousands of dollars) and aptitude test scores for a random sample of eight representatives. Construct a scatter plot with weekly sales as the dependent variables and test scores as the independent variable. 13 Weekly sales 10 12 30 26 20 15 14 53 61 83 76 78 86 65 58 Test score Choose the correct graph below A. Test OB. T 16 24 32 Wy C Oo. 70 Test scores U
3. Correlation and linear regression
ANSWER D ONLY
A researcher is interested in the relationship between age and golf performance. The researcher claims that golf performance improves with age, that is, as one gets older, his or her golf scores decrease. [In golf, a low score represents better performance; a higher score represents worse performance.] The researcher randomly selects a group of eight golfers at the local golf course and records their ages and their most recent golf score. The data that were collected are presented below: Golfer's Name Diego Tiger Bogart Marilyn Jennifer Mitch Bubba Amber Age (years) Variable 1 23 14 38 43 49 36 72 Golf Score Variable 2 92 112 77 84 81 72 79 86 Which of the following are the correct statements of the null and alternate hypotheses, Ho and HA? O Ho: M₁ M₂ and HA: H1 H₂
1. Find the value of Q₁ for this data: 2, 4, 6, 8, 10, 12, 14 O A 4 B.5 O c.8 OD. 12
What do the box plots tell you about the variability of the data? a. A has greater variability because its median and mean are greater than B b. B has greater variability because its range and IQR are greater tha c. B has greater variability because its median & mean are greater than A d. A has greater variability because its range & IQR are greater than B
A city wants to know if a new advertising campaign to make citizens aware of the dangers of driving after drinking has been effective. The accompanying table shows the number of drivers who have been stopped with more alcohol in their systems than the law allows for each day of the week in the week before and the week a month after the campaign starts. Assume that the data from each population is Normally distributed. Complete parts a through i below. A. Are the data paired? Explain. B. Compute the mean difference C. Compute the standard deviation of the differences. D. Compute the standard error of the mean difference. E. Find the value of the t-statistic. F. How many degrees of freedom does the t-statistic have? G. Is the alternative one- or two-sided? Explain. H. What is the P-value associated with this t-statistic? Assume that the other assumptions and conditions for inference are met.
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The data shown to the right for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. y 100 10 15 140 a. Construct a scatter plot for these data. Based on the scatter plot, how would you describe the relationship between the two variables? b. Compute the correlation coefficient. 11 110 13 130 14 150 11 120 15 170 12 140 a. Which graph below shows a scatter plot for these data? O A. OB. OC. OD. 15- 180- 180- 15- 10- 10- 180 10 15 10 180 There appears to be linear relationship between x and y. b. What is the correlation coefficient? r= (Round to two decimal places as needed.)

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