Does the t test indicate a significant relationship between price and the overall score? Compute the value of the t test statistic. Use x=0.05
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#a. Does the t test indicate a significant relationship between price and the overall score?
Compute the value of the t test statistic. Use x=0.05
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4The ordered pairs below give the median sales prices y (in thousands of dollars) of new homes sold in a neighborhood from 2009 through 2016. (2009, 179.4) (2011, 191.0) (2013, 202.6) (2015, 214.9) (2010, 185.4) (2012, 196.7) (2014, 208.7) (2016, 221.4) A linear model that approximates the data is y=5.96t+125.5,9t16, where t represents the year, with t=9 corresponding to 2009. Plot the actual data and the model on the same graph. How closely does the model represent the data?The following data show the brand, price($), and the overall score for 6 stereo headphones that were tested by Consumer Reports. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is y=23.043+2.7x , where x=price and y=overall score . Brand Price Score Bose 170 75 Scullcandy 160 71 Koss 95 62 Phillips/O'Neill 70 56 Denon 60 40 JVC 45 26 Round your answers to three decimal places. a. Compute SST,SSR , and SSE. SST (to 3 decimals) SSR (to 3 decimals) SSE (to 3 decimals) c. What is the value of the sample correlation coefficient? rxy=
- The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website, March 5, 2012). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 23.194 + .318x, where x = price ($) and y = overall score. Brand Price ($) Score Bose 180 76 Skulllcandy 150 71 Koss 95 61 Phillips /O'Neill 70 56 Denon 70 40 JVC 35 26 a. Compute SST, SSR, and SSE.b. Compute the coefficient of determination r2. Comment on the goodness of fit.c. What is the value of the sample correlation coefficient?A Hong Kong snack-food vendor offers 3 types of boxed ”lunches to go,” priced at $3, $5, and $10, respectively. The vendor would like to establish whether there is a relationship between the price of the boxed lunch and the number of sales achieved per hour. Consequently, over a 15-day period the vendor records the number of sales made for each of the 3 types of boxed lunches. The following data show the boxed-lunch price (x) and the number sold (y) during each of the 15 lunch hours.(3, 7) (5, 5) (10, 2) (3, 9) (5, 6) (10, 5) (3, 6) (5, 6)(10, 1) (3, 10) (5, 7) (10, 4) (3, 5) (5, 6) (10, 4)Prepare a scatter plot of the points and comment on the relationship between the price of the boxed lunches and the numbers sold each lunchtime.In an agricultural experiment, the effects of two fertilizers on the production of limes were measured. Twenty-three randomly selected plots of land were treated with a brand new fertilizer, and 21 randomly selected plots were treated with an old fertlizer. The number of pounds of harvested limes were measured from each plot. The results are given below. (Round answers to two decimal places.)Data: New Fertilizer Old Fertilizer 412 480 434 472 436 485 418 453 412 470 415 464 412 482 438 466 439 481 443 470 427 472 426 466 439 493 427 471 438 495 430 479 411 467 424 476 419 493 424 485 425 482 437 420 Find a 90% confidence interval for the difference between the mean weight of the harvested limes.margin of error: lower limit: upper limit: Based on the results, is the new fertilizer better than the old fertilizer? Yes, we are 90% confident that new fertilizer is better than old fertilizer. It's not clear if the new fertilizer is…
- A study was undertaken to determine whether there was a significant weight (in lb) loss after one year course of therapy for diabetes, and whether the amount of weight (in lb) loss was related to initial weight. The following table gives the initial weight (x) and weight after one year of therapy (y) for 16 newly diagnosed adult diabetic patients.A biologist was recording various temperatures (in degrees Celsius) and predicting the amount of glucose produced by a plant (in milligrams). Suppose the linear equation was the following: ?̂ = 12.7 − 0.223? d) Suppose the correlation coefficient was −0.12. How would you classify the correlation between temperature and amount of glucose?The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx11.68.46.73.52.72.62.30.7yy1410.99.976.26.35.74.3 xx = thousands of automatic weaponsyy = murders per 100,000 residents This data can be modeled by the equation y=0.87x+3.83.y=0.87x+3.83. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 8.6 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 6.6 thousand automatic weapons?Answer = Round to 3 decimal places.
- The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 22.391 + 0.326x, where x = price ($) and y = overall score. Brand Price ($) Score A 180 76 B 150 71 C 95 63 D 70 56 E 70 40 F 35 24 #1) Compute SST, SSR, and SSE. (Round your answers to three decimal places.) SST = SSR = SSE = #2) Compute the coefficient of determination r2.(Round your answer to three decimal places.) r2 = #2a) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) A) The least squares line provided a good fit as a small proportion of the variability in y has been explained by the least squares line. B) The least squares line provided a good fit as a large…Use the following to answer the question: y^=-4.2x+9.5 with R2=9%. Which best describes the correlation? Weak negative linear relationship Moderate negative linear relationship Weak positive linear relationship No linear relationship Moderate positive linear relationshipThe following data show the brand, price ($), and the overall score for six stereo headphones that were tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 21.258 + 0.327x, where x = price ($) and y = overall score. Brand Price ($) Score A 180 74 B 150 73 C 95 59 D 70 54 E 70 40 F 35 24 (a) Compute SST, SSR, and SSE. (Round your answers to three decimal places.) SST= SSR= SSE= (b) Compute the coefficient of determination r2. (Round your answer to three decimal places.) r2 = Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line.The least squares line did not provide a good fit as a large…