We would like to study the relationship between the number of family members in a household z and number of meals they eat together y. A regression equation based on a sample from the study is shown below. ŷ = 1.47 - 0.08x Estimate the number of meals shared by a family with 6 members. Select one: O a. 3 O b. 0 O c. 1 O d. 2
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- The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 21.656 + 0.333x, where x = price ($) and y = overall score. Brand Price ($) Score A 180 76 B 150 73 95 61 70 54 E 70 42 35 24 (a) Compute SST, SSR, and SSE. (Round your answers to three decimal places.) SST = SSR = SSE = (b) Compute the coefficient of determination r. (Round your answer to three decimal places.) 12 = Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) O The least squares line did not provide a good fit as a small proportion of the variability in y has been explained by the least squares line. O The least squares line provided a good fit as a small proportion of the variability in y…The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. I 11.7 8 6.8 3.6 2.3 2.5 2.5 0.4 y 13.7 11 9.8 I= thousands of automatic weapons 7.4 6.2 6.2 4.2 y = murders per 100,000 residents This data can be modeled by the equation y = 0.84x + 4.11. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Use the equation with the values rounded to two decimal places to make your predictions. A) How many murders per 100,000 residents can be expected in a state with 8.5 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 2.8 thousand automatic weapons? Answer Round to 3 decimal places.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.
- Given the regression equation Y = 43 - 10X, the predicted value of Y when X = -7 is O A. -113 O B. -70 O C. 113 O D. 70The following data give the percentage of women working in five companies in the retail and trade industry. The percentage of management jobs held by women in each company is also shown. %Working 68 45 73 55 61 %Management 50 22 65 48 34 d. Develop the estimated regression equation by computing the values b 0 and b 1.Enter negative values as negative numbers. Round your answers to one decimal place.y = _ + _ x e. Predict the percentage of management jobs held by women in a company that has 60% women employees. Round your intermediate calculation to 1 decimal place and answer to nearest whole value.Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y=−77.75x+77.03 and the r=−0.355.What proportion of the variation in y can be explained by the variation in the values of x? r² = %
- A set of n = 15 pairs of scores (X and Y values produces a regression equation of Y = 2X + 6. What is the predicted Y value for the following X scores. a. 0 b. 3 c. -4Caselet #1 ADVERTISEMENT A marketing executive wishes to determine whether there is a relationship between the number of television commercials aired per week and the number of sales (in thousand pesos) of a product. The data for the sample follow. Number of Ads, x 2 8. 8. 10 12 Sales, y 2 4 7 6. 10Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y = – 17.88x + 41.39 and the r = - 0.405. What proportion of the variation in y can be explained by the variation in the values of x? r2 = Report answer as a percentage accurate to one decimal place.