Can you help with d-f 3:48 PM Thu Apr 22全70%く Q 口Apple Pencil•..100%Untitled Notebook (1)StatsSTA 2023 EC Regression1. A doctor wanted to determine whether there is a relationbetween a males age and his HDL cholesterol. He randomlyselected 17 of his patients and determined their HDL levels. Heobtained the following data.Age, x HDL, y38574254463432565535524061426138264738446662305351362745523849553928b) Calculatc least rear~.Test whether there :.s ear relationsnp vetwa --0.05d) Construct a 95% Confidence Interval for the slope of theregression line 3:48 PM Thu Apr 22全70%く Q 口Stats•..Untitled Notebook (1)Statse) Construct a 95% Confidence Interval for the predicted meanage for a 75 year old male. Let x*=75f) Construct a 95% Prediction Interval for the predicted age for a75 year old male. Let x*=75.2. As concrete cures it gains strength. The following dataspresents the 7 day and 28 day strength (in pounds per squarejnch) of a certain type of çoncrete.Day trength, x 28 Day Strength, y230033902-302893330248040705220464046204850412033205020266048902620419033404630a) Calculate rb) Calculate the least regression line) Test whether there is a linear relationsh p between 7-daystrength and 28-day strength. Let a-0.05d) Constiuct a 95% Confidence Interva for the siope of the74 of 87

α= 0.05 t critical value= t α/2 = 2.131 [excel function:…

Answered: e) Construct a 95% Confidence Interval…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2CYU

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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?
XYZ Corporation Stock Prices The following table shows the average stock price, in dollars, of XYZ Corporation in the given month. Month Stock price January 2011 43.71 February 2011 44.22 March 2011 44.44 April 2011 45.17 May 2011 45.97 a. Find the equation of the regression line. Round the regression coefficients to three decimal places. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict the stock price to be in January 2012? January 2013?

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e) Construct a 95% Confidence Interval for the predicted mean age for a 75 year old male. Let x*=75 f) Construct a 95% Prediction Interval for the predicted age for a 75 year old male. Let x*=75.

e) Construct a 95% Confidence Interval for the predicted mean age for a 75 year old male. Let x=75 f) Construct a 95% Prediction Interval for the predicted age for a 75 year old male. Let x=75.