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- researcher computes the correlation coefficient r= -0.1389 for an explanatory and response variable. What proportion of the changes in the response variables value is accounted for by the change in the explanatory variable's value? (Give your answer to four decimal places)The linear correlation coefficient r= Determine the null and alternative hypotheses.confidently predict we would 20. A newspaper article claims that the academic rank of a college is negatively re- lated to the rank of its football team. From a sample of 28 colleges, you obtain a correlation coefficient of -.32. (a) Which type of correlation coefficient did .05, what is the critical you compute? (b) What are Ho and H₂? (c) With a = value? (d) What should you conclude about the accuracy of the newspaper's claim? (e) In predicting a particular school's academic ranking in your sample, how important is it that you look at the school's football ranking?
- I need help on how to find and work with the Linear Correlation Coefficient (r)^ Prev The table below gives the list price and the number of bids received for five randomly selected Items sold through online auctions. Using this data, consider the equation of the regression line, bo + b₁x, for predicting the number of bids an Item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, In practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Price in Dollars Number of Bids 28 33 36 42 45 1 7 8 9 10 Step 6 of 6: Find the value of the coefficient of determination. Round your answer to three decimal places. Table Copy Data NextPlease answer as many as your allowed too. Thank you :) A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x).The results of the regression were: ˆyy^=a+bxa=-1.68b=0.168 (a) Write the equation of the Least Squares Regression line of the formˆyy^= + x(b) Which is a possible value for the correlation coefficient, rr? -1.417 1.417 0.702 -0.702 (c) If a country increases its life expectancy, the happiness index will increase decrease (d) If the life expectancy is increased by 0.5 years in a certain country, how much will the happiness index change? Round to two decimal places.(e) Use the regression line to predict the happiness index of a country with a life expectancy of 69 years. Round to two decimal places.
- State the null and alternative hypotheses for the situation described below for a statistical test. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,0,ρ,p^,p^1,p^2,r.Testing to see if there is evidence that a correlation between height and salary is significant (that is, different than zero.) H0: vs Ha:The data show the chest sire and weight of several bears Find the regression equation, leting chest size be the independent(x)variable. Then find the best predicted we ght of a bear inith a chest sizo of 40 inches. Is the result close to the actual weight of 272 pounds? Use a signifcance level of 0.05 8 Click the icon to verw the critical values of the Pearson correlation coefficient . What is the regrestion equation? \[ \hat{y}=\text {. K(Round ta one decimal place as needed) } \]State the null and alternative hypotheses for the statistical test described below. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,0,ρ,p^,p^1,p^2,r.Testing to see if there is evidence that the correlation between two variables is negative. H0: vs Ha:
- Can the correlation coefficient be 4?Several bakeries in a town were asked the price for different amounts of donuts at their shop. The scatter plot with Total Cost (in dollars) 876543 ~ TO 0 0 1 Donut Pricing 2 3 4 5 Number of Donuts 6 7 8 line of best fit was created from the data gathered. Part A: Estimate the correlation coefficient. Explain your reasoning for the given value. Part B: How many positive and negative residuals are there? Explain your reasoning. Part C: State the point with the largest absolute value residual and interpret the point in terms of the context of the data.The article "Behavioural Effects of Mobile Telephone Use During Simulated Driving"+ reported that for a sample of 20 experimental subjects, the sample correlation coefficient for x = age and y = time since the subject had acquired a driving license (yr) was 0.97. Why do you think the value of r is so close to 1? (The article's authors give an explanation.) This is a mistake. The value should be close to -1. This is a mistake. The value should be close to 0. The older a subject is, the more time since they acquired their license. The older a subject is, the less time since they acquired their license.