8 Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 131 to 193 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.82 cm, y=81.48 kg, r=0.395, P-value = 0.000, andy=-101 + 1.15x. Find the best predicted value of y (weight) given an adult male who is 137 cm tall. Use a 0.01 significance level.Click the icon to view the critical values of the Pearson correlation coefficient r.The best predicted value of y for an adult male who is 137 cm tall is kg.(Round to two decimal places as needed.)

According to the given information in this questionWe need to find the best predicted value

Answered: Heights (cm) and weights (kg) are…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

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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?
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 131 to 194 cm and weights of 38 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.68 cm, y=81.47 kg, r=0.144, P-value=0.153, and y=−107+1.04x.Find the best predicted value of y (weight) given an adult male who is 173 cm tall. Use a 0.10 significance level.
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 13 to 192cm and weights 41 to 150kg. Let the predictor variable x be the first variable given. The 100 paired measurements yieldx=167.40cm, y=81.45kg,r=0.368, P-value=0.000,and y=−103+1.03x.Find the best predicted value of y (weight) given an adult male who is 189cm tall. Use a 0.10 significance level. The best predicted value of y for an adult male who is 189cm tall is ___kg.
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 138 to 187 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.94 cm, y=81.54 kg, r=0.261, P value=0.009, and y=−102+1.03x. Find the best predicted value of y (weight) given an adult male who is 181 cm tall. Use a 0.10 significance level.
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 131 to 193 cm and weights of 41 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.68 cm, y=81.40 kg, r=0.315, P-value=0.001, and y=−102+1.19x. Find the best predicted value of y (weight) given an adult male who is 152 cm tall. Use a 0.10 significance level.
A set of n = 15 pairs of X and Y values has a correlation of r = +0.80 with SSY = 75, and the regression equation for predicting Y is computed. Find the standard error of estimate for the regression equation. How big would the standard error be if the sample size were n = 30.
Two lines of regression are given by 5x+7y-22=0 and 6x+2y-22=0. If the variance of y is 15, find the standard deviation of x.
Suppose the simple linear regression model, Yi = β0 + β1 xi + Ei, is used to explain the relationship between x and y. A random sample of n = 12 values for the explanatory variable (x) was selected and the corresponding values of the response variable (y) were observed. A summary of the statistics is presented in the photo attached. Let b1 denote the least squares estimator of the slope coefficient, β1. What is the value of b1?
Suppose a researcher wants to see if the proportion of college educated adults is higher in New York compared to Florida. The researcher randomly samples 500 adults in New York and found that 196 had a college education, while a random sample of 600 adults in Florida found that 227 had a college education.At the 0.05 level of significance, does the data provide evidence to suggest the proportion of college educated adults is higher in New York than Florida? Step 1: Define the parameter & setup the testStep 2: State the Level of SignificanceStep 3: Find the value of the Test StatisticsStep 4: Find P-Value OR Find Critical ValueStep 5: State Conclusion and why
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 130 to 194 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.94 cm, y=81.53 kg, r=0.203, P-value=0.043, and y=−105+1.13x. Find the best predicted value of y (weight) given an adult male who is 150 cm tall. Use a 0.01 significance level. The best predicted value of y for an adult male who is 150 cm tall is __ kg.

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