Find the Lagrange interpolating polynomial that passes through the data points given by the table and estimate the value of y whenever x = 1.75. Graph the Lagrange interpolating polynomial and the scatter plot of the observed data in one graph. 1 1.5 2 2.5 y 3.4 7.2 20.1 0.5 0.7 12.4
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- Determine the best (according to sum-of-squares-measure) curve y =Axb through the dataabove.Transformed equation ln(y) = ln(A) + b ln(x)orY = a + bX.he variable which has an insignificant effect on the duration of the stop is _____ Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 6.623708 0.413166 16.03161 1.1E-57 5.813897 7.433519 age -0.01104 0.001583 -6.97062 3.2E-12 -0.01414 -0.00793 height -0.00826 0.006816 -1.2123 0.225405 -0.02162 0.005096 weight 0.00246 0.00074 3.325253 0.000884 0.00101 0.003911 arstmade 1.844518 0.077264 23.87308 3.3E-125 1.69308 1.995956 Black -0.47463 0.037618 -12.617 1.95E-36 -0.54836 -0.4009 sex -0.74561 0.074776 -9.97129 2.15E-23 -0.89218 -0.59905 Group of answer choices height age Weight Black Sex PreviousNextA correlation of r = .85 is found between weekly sales of firewood and coughdrops over a 1-year period. Which of the following is true? (a) There is a pretty strong positive linear relationship between sales of firewood and cough drops. (b) Fire must be the cause of coughing. (c) Temperature is a possible lurking variable that is “behind” this relationship. (d) Both (a) and (c) are true. (e) None of the above.
- 6. Select the scatter plot that goes with the data shown below. Then, determine whether a linear, quadratic, or exponential model is the most appropriate for the data. Hour Temperature 1 35 2 45 3 50 4 55 5 47 6 40 7 34 linear quadratic exponentialA scientist is interested in whether there is a linear relationship between the amount of mercury in a lake and the surface area of the lake. The scientist collected data on 22 lakes of a similar type selected at random and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim. H0:β=0 Ha:β≠0 The test yielded a t-value of 2.086 with a corresponding p-value of 0.05. Which of the following is the correct interpretation of the p-value? A. If there is a linear relationship between the amount of mercury in a lake and the surface area of the lake, the probability of observing a test statistic as extreme as 2.086 or more extreme is 0.05 B. If there is a linear relationship between the amount of mercury in a lake and the surface area of the lake, the probability of observing a test statistic of 2.086 is 0.05. C. If there is not a linear relationship between the amount of mercury in a lake and the surface area of the lake, the…A Filipino analyst used regression analysis between $ sales (y) and $ advertising (x) across all the branches of a major international corporation. He obtained the following regression function. y = 6000 + 7.5x If the advertising budgets of one the of branches of the corporation is $12,250, then what will be the predicted sales? A. $97,875 B. $91,875 C. $18,257.50 D. $6000
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- The following table shows the length, in meters, of the winning long jump in the Olympic Games for the indicated year. (One meter is 39.37 inches.) Year 1900 1904 1908 1912 Length 7.19 7.34 7.48 7.60 (a) Find the equation of the regression line that gives the length as a function of time. (Let t be the number of years since 1900 and L the length of the wining long jump, in meters. Round the regression line parameters to three decimal places.) L(t) = 0.034t+7.197 (b) Explain in practical terms the meaning of the slope of the regression line. In practical terms the meaning of the slope, meter per year, of the regression line is that each year the length of the winning long jump increased by an average of meter, or about inches.The following table lists a country's college and university enrollments in thousands to study a particular language. Year 1980 1986 1995 2002 2009 Enrollment 20 26 36 43 70 (a) Use regression to find a quadratic function that models the data. Choose the correct answer below. Then graph the regression line and given data points.a) f(x)=0.055562x2 - 220.05x + 217,895b) f(x)=0.086562x2 + 220.05x + 217,895c) f(x)=0.086562x2 - 220.05x + 217,895d) f(x)=0.055562x2 + 220.05x + 217,895 (b) Estimate the enrollment in 2007 and compare it to the actual value of 63 thousand. (Use part A to find the answer. Round to the nearest integer as needed)a) The estimated enrollment in 2007 is ____ thousand, which is ____ thousand higher than the actual value.b) The estimated enrollment in 2007 is the same as the actual value.c) The estimated enrollment in 2007 is ____ thousand, which is ___ thousand lower than the actual value.Suppose that f is a linear function such that f(3) = 6. If the slope of f is 2.9, then what is f(4)? (Round your answer to one decimal place.) f(4) =