The table below shows the number Cof Crayola colors available t years alter 1900. C= number of t= years since 1900 colors 49 48 58 72 64 72 80 120 90 98 103 120 (a) Find the equation of the regression line for C as a function of t. (Round regression line parameters to two decimal places.) C(t) = (b) How many Crayola colors does the regression line indicate for 1993? (Round your answer to the nearest whole number. Note that the actual number is 96. (e) Plot the data points and the regression line. 120 120 100 100 80 80 60 60 40 40 20 20 20 40 80 100 20 40 60 100 120 120 100 100 80 80 60 60 40 40 20 20 20 40 60 80 100 20 40 60 80 100

The table below shows the number Cof Crayola colors available t years alter 1900. C= number of t= years since 1900 colors 49 48 58 72 64 72 80 120 90 98 103 120 (a) Find the equation of the regression line for C as a function of t. (Round regression line parameters to two decimal places.) C(t) = (b) How many Crayola colors does the regression line indicate for 1993? (Round your answer to the nearest whole number. Note that the actual number is 96. (e) Plot the data points and the regression line. 120 120 100 100 80 80 60 60 40 40 20 20 20 40 80 100 20 40 60 100 120 120 100 100 80 80 60 60 40 40 20 20 20 40 60 80 100 20 40 60 80 100

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 1TU: The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t=...

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The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.
Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
The number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings (in millions) are shown in the table. The equation of the regression line is y=47.271x+18,712.47. Issues, x Proceeds, y425 18,758468 29,602678 43,797478 31,661485 65,518396 65,33069 21,42764 11,847181 32,392157 27,561 Complete parts a and b. The number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings (in millions) are shown in the table. The equation of the regression line is y=47.271x+18,712.47. Complete parts a and b. (a) Find the coefficient of determination and interpret the result. (Round to three decimal places as needed.) (b) Find the standard error of estimate se and interpret the result. (Round to three decimal places as needed.)
A) Calculate the F statistic Round to two decimal places for F Statistic B) Calculate the P Value Round to three decimal places for P Value C) Identify the t-statistic for x1 from the technology output for the regression model, rounding to two decimal places. D)Identify the p-value for the test statistic from the technology output, rounding to three decimal places.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.3 8.3 6.8 3.4 2.7 2.7 2.5 0.4 yy 13.5 11 9.6 6.9 6 6.4 5.9 4.1 xx = thousands of automatic weaponsyy = murders per 100,000 residents Use your calculator to determine the equation of the regression line. (Round to 2 decimal places)Determine the regression equation in y = ax + b form and write it below. A) How many murders per 100,000 residents can be expected in a state with 2.4 thousand automatic weapons?Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 7.3 thousand automatic weapons?Answer = Round to 3 decimal places.
The prelim grades (x) and midterm grades (y) of a sample of 10 MMW students is modeled by the regression line y = 12.0623 + 0.7771x. Estimate the prelim grade if the midterm grade is 83.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.7 8 7.1 3.3 2.5 2.6 2.2 0.9 yy 14.3 10.5 10.4 6.7 6.1 6.2 6.1 4.7 xx = thousands of automatic weaponsyy = murders per 100,000 residents a) Use your calculator to determine the equation of the regression line. (Round to 2 decimal places)Determine the regression equation in y = ax + b form and write it below. ? B) How many murders per 100,000 residents can be expected in a state with 6.5 thousand automatic weapons ? Round to 3 decimal places.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.7 8.1 6.7 3.3 2.7 2.3 2.2 0.3 yy 13.8 10.7 9.9 6.6 6.1 5.9 6.1 4.5 xx = thousands of automatic weaponsyy = murders per 100,000 residents Determine the regression equation in y = ax + b form and write it below. (Round to 2 decimal places) A) How many murders per 100,000 residents can be expected in a state with 6.4 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 6.7 thousand automatic weapons? Answer = Round to 3 decimal places.
A study was done of 6 patients admitted to a hospital. Their ages (x) and systolic blood pressure (y) was recorded. Age (x) Systolic blood pressure (y) 43 123 48 125 56 135 61 143 67 145 70 152 Determine the equation of the regression equation, reporting each to 3 decimal places. D. Compute the residual for x = 48, using the rounded slope and y intercept. Report answer to 3 decimal places. E. The data value of x = 56 has a residual of -0.575 If you were to make a scatter plot, which data point would be closer to the regression line? (43,123) (48,125) (56, 135) They are all the same distance from the regression line. F. Determine the value of se, reporting to 3 decimal places. G. Determine the value of ∑∑ (x-mean)2. Note: The mean is an exact value with 1 decimal place. The desired value also has 1 decimal place. H. Determine the lower bound of a 95% confidence interval for the slope. Use the T score to 3 decimal places and the…
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.7 8.4 6.6 3.9 2.4 2.4 2.2 0.6 yy 14 10.9 9.4 7.5 6 5.8 5.8 4.4 xx = thousands of automatic weaponsyy = murders per 100,000 residents Use excel to determine the equation of the regression line. (Round to 2 decimal places)Determine the regression equation in y = b0 + bx(x) form and write it below. A) How many murders per 100,000 residents can be expected in a state with 10.7 thousand automatic weapons? B) How many murders per 100,000 residents can be expected in a state with 2.1 thousand automatic weapons?
1a) Develop the estimated regression equation for these data. (Round your numerical values to two decimal places.). 1b) Compute the studentized deleted residuals for these data. (Round your answers to two decimal places.)
The estimated regression equation for a model involving two independent variables and 10 observations follows. y^=31.5111+0.5611x1+0.3254x2 a. Interpret b1b and b2 in this estimated regression equation (to 4 decimals ) b1____ b2____ b. Estimate y when x1=180 and x2=310 ( to 3 decimals)