Based on the data shown below, a statistician calculates a linear model y X 5 6789 y 29.2 31.24 34.28 34.52 38.76 = 2.62x+15.67.
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- The best predicted circumference for a diameter 1.2 cm is?Listed below are the overhead widths (cm) of seals measured from photographs and the weights (kg) of the seals. Overhead width 7.2 7.4 9.8 9.4 8.8 8.4 Weight 116 154 245 202 200 191 The four pairs of values below were obtained from the regression equation. Which is an extrapolation? a) overhead width 7.5 cm, weight 144 kg b) overhead width 10 cm, weight 245 kg c) overhead width 7.2 cm, weight 132 kg d) overhead width 8.1 cm, weight 169 kgIn a study, the simple linear regression equation was found as y = 3.02 - 10.30 * x. Accordingly, if the value of x is 7.74, what will be the value of "y"? 34 - O A) -82,74 O B) 45,74 O C) 76,70 O D) -76,70 O E) 24,43
- The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.5 8.2 6.9 3.3 2.8 2.2 2.6 0.6 yy 13.7 10.9 10.2 7 6.1 5.8 6.3 4.2 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.87x+3.9.y=0.87x+3.9. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 2.5 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 5.2 thousand automatic weapons?Answer = Round to 3 decimal places. Submit QuestionQuestion 17The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.6 8.5 7.2 3.6 2.6 2.3 2.1 0.4 yy 13.8 11.4 9.9 7.1 5.9 5.8 5.8 4.7 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.84x+4.02.y=0.84x+4.02. Use this equation to answer the following;Special Note: I suggest you verify this equation by performing linear regression on your calculator.A) How many murders per 100,000 residents can be expected in a state with 4.9 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 10.3 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. x 11.9 8.4 6.6 3.8 2.6 2.3 2.2 0.9 y 14.2 11.1 9.6 7 6.2 6.1 5.8 5 x = thousands of automatic weaponsy = murders per 100,000 residentsThis data can be modeled by the equation y=0.85x+4.03. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator.A) How many murders per 100,000 residents can be expected in a state with 7.7 thousand automatic weapons?
- 2A. Interpret the slope of coefficient . B. Interpret the value of coefficient of determination . c. Using the decision rule based on (-statistic, test at the 10% significatice level whether or not there is a linear relationship between advertising expenditure and sales. In other words, test the following hypotheses: H0 : B1 = 0 (there is no relationship) H1 : B1 ≠ 0 (there is a relationship)A random sample of 136 adults were asked to report the number of hours per week the spent on a computer and their number of years of education. The linear model equation below describes the relationship between the mean computers hours and years of education. computers == 9.12 ++ 0.8 ×× education Based on this linear model, which of the following statements is correct? a) An adult who has no years of education is expected to spend 9.12 hours per week on a computer. b) An adult who has 1 more year of education than another is expected to spend 9.12 more hours per week on a computer. c) An adult who spends 1 more hour per week on a computer than another is expected to have had 9.12 more years of education. d) An adult who spend zero hours per week on a computer is expected to have 9.12 years of education.
- The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.4 8 7 3.6 2.7 2.5 2.7 0.8 yy 13.4 11 10.1 7.2 6.2 6.1 6.4 4.7 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.84x+4.09.y=0.84x+4.09. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 4.7 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.When attempting to predict job performance using personality traits, researchers typically assume that the relationship is linear. A study investigated a curvilinear relationship between job task performance and a specific personality trait-conscientiousness. Using data collected for 602 employees of a large public organization, task performance was measured on a 30-point scale (where higher scores indicate better performance) and conscientiousness was measured on a scale of -3 to +3 (where higher scores indicate a higher level of conscientiousness). 1. The coefficient of correlation relating task performance score to conscientiousness score was reported as r = 0.18. Explain why the researchers should not use this statistic to investigate the curvilinear relationship %D between task performance and conscientiousness. 2. Give the equation of a curvilinear (quadratic) model relating task performance score (y) to conscientiousness Score (x). 3. The researchers theorized that task…Find and interpret a 95% confidence interval for how the average weight changes for a one hour increase in sleep per night. Find and interpret a 95% confidence interval for the average weight given 6.5 hours of sleep per night is obtained.