The table shows the height and the shooting percentage for the 9 members of the 2019 NBA-champion Toronto Raptors who averaged at least 10 minutes per game. Height (in.) 81 78 72 79 84 73 79 75 77 Shooting percentage 55 47 41 50 53 41 45 48 43 Use technology to calculate the correlation Use technology to calculate the equation of the least-squares regression line. Calculate and interpret the residual for Kawhi Leonard, who is 79 inches tall and had a shooting percentage of 50.

The maximum discount value of the Entertainment® card for the "Fine Dining" section for various pages is given in the table below. Page number Maximum value ($) 4 17 14 18 25 16 32 18 43 18 57 15 72 16 85 14 90 18 Let page number be the independent variable and maximum value be the dependent variable. Part (a) Draw a scatter plot of the ordered pairs.         Part (b) Calculate the least-squares line. Put the equation in the form of:  ŷ = a + bx.  (Round your answers to three decimal places.) ŷ = ________ + __________ x Part (c) Find the correlation coefficient. (Round your answer to four decimal places.) r =  Is it significant? (Use a significance level of 0.05.) Yes No     Part (d) Find the estimated maximum values for the restaurants on page ten and on page 70. (Round your answers to the nearest cent.) Page 10: $ ____________ Page 70: $ ____________ Part (e) Does it appear that the restaurants giving the…

Is It Getting Harder to Win a Hot Dog Eating Contest?Every Fourth of July, Nathan’s Famous in New York City holds a hot dog eating contest. The table below shows the winning number of hot dogs and buns eaten every year from 2002 to 2015, and the data are also available in HotDogs. The figure below shows the scatterplot with the regression line. Year     Hot Dogs 2015   62 2014   61 2013   69 2012   68 2011   62 2010   54 2009   68 2008   59 2007   66 2006   54 2005   49 2004   54 2003   45 2002     50 Winning number of hot dogs in the hot dog eating contest Winning number of hot dogs and buns Click here for the dataset associated with this question.   (a) Is the trend in the data mostly positive or negative?     Positive   Negative   (b) Using the figure provided, is the residual larger in 2007 or 2008?Choose the answer from the menu in accordance to item (b) of the question statement  20072008 Is the residual positive or…

In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers. For both measures, smaller values indicate higher quality. The following computer output gives the results from predicting ERA by using WHIP in a least-squares regression for the 2017 baseball season. Variable DF Estimate SE T Intercept 1 -5.0 0.26 - 19.3 WHIP 1 6.8 0.14 47.4 Which of the following statements is the best interpretation of the value 6.8 shown in the output? ERA is predicted to increase by 6.8 units for each 1 unit increase of WHIP. WHIP is predicted to increase by 6.8 units for each 1 unit increase of ERA. For a pitcher with 0 units of WHIP, the ERA is predicted to be approximately 6.8 units. For a pitcher with 0 units of ERA, the WHIP is predicted to be approximately 6.8 units. Approximately 6.8% of the variability in ERA is due to its linear relationship with WHIP.

A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters, for a sample of 8 adults. The following table presents the results. Systolic Diastolic 124 84 106 84 102 77 113 77 118 66 117 87 130 74 115 70 The least-squares regression line y=b0+b1x=89.5234-0.1051x and Σ(x-x bar) squared =569.8750 are known for this data. Use the P-value method to test H0:β1=0 versus H1:β1<0. Can you conclude that systolic blood pressure is useful in predicting diastolic blood pressure? Use the α=0.10 level of significance and the TI-84 calculator. Compute the test statistic. Always round t-score values to three decimals places.

Use least squares regression to fit a line to the table data below.

Square Footage, X Asking Price ($000s), y 1148 154 1096 159.9 1142 169 1288 169.9 1322 170 1466 179.9 1344 180 1544 189 1494 189.9 Determine the least squares regression line.

An article gave a scatter plot along with the least squares line of x = rainfall volume (m³) and y = runoff volume (m³) for a particular location. The accompanying values were read from the plot. X 4 12 14 20 23 30 40 50 55 67 72 83 96 112 127 y 4 10 13 14 15 25 27 45 38 46 53 75 82 99 104 USE SALT (a) Does a scatter plot of the data support the use of the simple linear regression model? o Yes, the scatterplot shows a reasonable linear relationship. Yes, the scatterplot shows a random scattering with no pattern. No, the scatterplot shows a reasonable linear relationship. No, the scatterplot shows a random scattering with no pattern. (b) Calculate point estimates of the slope and intercept of the population regression line. (Round your answers to four decimal places.) slope X X .84210 intercept -1.86631 (c) Calculate a point estimate of the true average runoff volume when rainfall volume is 45. (Round your answer to four decimal places.) 40.2387 X m 3 (d) Calculate a point estimate of…

The table below shows the heights (inches) and weights (pounds) of 9 randomly selected children. Child Data Height (inches), x 36 56 58 59 61 63 65 69 73 Weight (pounds), y 69 89 96 74 110 90 123 110 128 (a) Construct a scatter diagram for the data, where the weight of the child is the response variable. (b) Determine the least-squares regression line for the data and graph the line on the scatter diagram from part (a). (use calculator) (show what did you do on the calculator)   (c) Interpret the slope and the y–intercept in the context of the problem.   (d) Predict the weight of a child that is 57 inches tall. Comparing with the observed value, what is the residual? Is the observed weight above or below average? (e) Determine the correlation coefficient, r. Is there a correlation? Discuss the strength of the correlation and why.   (f) Are heights and weights of children linearly related? Why or why not? Be sure to justify your answer by using the appropriate method.   (g)…

The following table gives the gold medal times for every other Summer Olympics for the women's 100 meter freestyle (swimming). Year Time (seconds) 1912 82.2 1924 72.4 1932 66.8 1952 66.8 1960 61.2 1968 60.0 1976 55.65 1984 55.92 1992 54.64 2000 53.8 2008 53.1 Calculate the least squares line. Put the equation in the form of:  ŷ = a + bx.  (Round your answers to three decimal places.) Find the correlation coefficient r. (Round your answer to four decimal places.)r =   Find the estimated gold medal time for 1924. (Use your equation from part (d). Round your answer to two decimal places.) Find the estimated gold medal time for 1992. (Use your equation from part (d). Round your answer to two decimal places.) Use the least squares line to estimate the gold medal time for the 2012 Summer Olympics. (Use your equation from part (d). Round your answer to two decimal places.) ch12#1