Question 12:The following table represents the number of hours spent gaming the week before an exam versus theScore on that exam.Hours gaming: 1312Exam Score:837462494435Part A: Identify Explanatory and Response variables.Part B: Determine the equation of the LSRL.Part C: Find and interpret the correlation coefficient.Part D: Find and interpret the coefficient of determination.Part E: Find the residual associated with the value 9.U knead

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Answered: The following table represents the…

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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Question #13 The Minitab output shown below was obtained by using paired data consisting of weights (in lb) of 32 cars and their highway fuel consumption amounts (in mi/gal). Along with the paired sample data, Minitab was also given a car weight of 5000 lb to be used for predicting the highway fuel consumption amount. Use the information provided in the display to determine the value of the linear correlation coefficient. (Be careful to correctly identify the sign of the correlation coefficient.) Given that there are 32 pairs of data, is there sufficient evidence to support a claim of linear correlation between the weights of cars and their highway fuel consumption amounts? View the Minitab display. ( Minitab output attached) The linear correlation coefficient is___________. (Round to three decimal places as needed.) Is there sufficient evidence to support a claim of linear correlation? A. No B. Yes
Question 7 Identify the most likely type of causal relationship between each of the following pairs of variables. Assume that a strong positive correlation has been observed between the two variables, with the first one being the independent variable. DDDD reverse cause and effect accidental relationship presumed relationship cause and effect 1. 2. 3. 4. the number of police officers, the number of crimes the UV index rating, the rate of developing a sunburn without any sunscreen protection on the skin sales of ice cream cones at Cold Stone Creamery, revenue at Wild Waterworks swimming pool at Confederation Park ticket sales for the school play, "Broadway Titans 2" revenue from
QUESTION 6 PART A- (This question has 3X the normal weight). What is the value of Spearman's correlation coefficient for the association between chocolate consumption and number of Nobel prize winners in chocolate_nobels? QUESTION 6 PART B- Perform a formal test for correlation on the chocolate consumption / Nobel prize winners data in chocolate_nobels. H0: There is no correlation between chocolate consumption and the number of Nobel prize winners (=0) H1: There is a correlation between chocolate consumption and the number of Nobel prize winners ( is not 0) What is the critical value of Spearman's correlation coefficient, which is required to reject the null hypothesis at a 0.05 confidence level?
Question 3: Using Excel, conduct a NHST to determine whether there is a correlation in the population. Use a 0.05 significance level. Use the Excel file Assignment10_R1.xlsx, Exercise1_Correlation NHST worksheet) Alpha 0.05 n 22 df 20 CV t 2.086 r -0.6599 r2 0.4354 t -3.927 p-value 0.00083 Write the Null & Alternate Hypotheses (Follow the examples shown in Clear-Sighted Statistics. Use the appropriate Greek letters and mathematical symbols). H0: H1: 2. Write the Decision Rule using the Critical Value(s), not p-values. 3. Calculate the value of the test statistic and the p-value. 4.What is your decision regarding the Null Hypothesis? Frame your report in the context of this problem
Question #6 Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet). Altitude 4 8 14 24 27 31 32 Temperature 55 37 20 −5 −27 −41 −57 a. Find the explained variation. ______________ (Round to two decimal places as needed.) b. Find the unexplained variation. _______________ (Round to five decimal places as needed.) c. Find the indicated prediction interval. _____________°F < y < ____________ °F (Round to four decimal places as needed.)
QUESTION 4 PART A- What is the standard error of the correlation coefficient for the association of extroversion and neuroticism in personalities? QUESTION 4 PART B- Carry out a formal t-test for the association between extroversion and neuroticism in personalities.xls. H0: The population correlation coefficient is 0. HA: The population correlation coefficient is not 0. What is the value of the t-statistic corresponding to this test? (Report the absolute value. The t-distribution is symmetric, thus it is easier to compare the absolute value of the t-statistic with the positive values in statistical table C). DATA IS ATTACHED.
Question 15 The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant negative linear correlation between ticket price and number of attendees. Use a significance level of 0.01 and round all values to 4 decimal places. Ticket Price Attendence 6 147 10 144 14 145 18 146 22 135 26 134 30 133 Ho: ρ = 0Ha: ρ < 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = Question 16 Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and the profits (in millions of dollars). Determine if there is a significant negative linear correlation between advertising cost and profit . Use a significance level of 0.01 and round all values to 4 decimal places. Advertising Cost Profit 3 26 4 14 5 22 6 26 7 31 8 26 9 28 10 21 Ho: ρ = 0Ha: ρ < 0 Find the Linear Correlation…
QUESTION 10 A perfect straight line sloping upward would produce a correlation coefficient value of 1.0. True False
Question #4 Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using α=0.05.Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports 231 266 358 482 532 Crash Fatality Rate 15.8 15.7 15.5 15.3 14.9 What are the null and alternative hypotheses? A. H0: ρ = 0 H1: ρ ≠ 0 B. H0: ρ = 0 H1: ρ < 0 C. H0: ρ = 0 H1: ρ > 0 D. H0: ρ ≠ 0 H1: ρ = 0 Construct a scatterplot. Choose the correct graph below. ( Graphs are attached) The linear correlation coefficient is r= __________. (Round to three decimal places as…

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