4b) The data shows a systolic and a diastolic blood pressure of certain patients. Find thelinear regression equation, using the first variable x (systolic) as the independent variable.Find the best predicted diastolic blood pressure for a patient with a systolic blood pressure(y) reading of 140. What is the correlation coefficient, r? Using a significance level ofa = 0.05, is there a significant linear relationship between systolic and diastolic bloodpressure?Blood Pressure:Systolic Diastolic112125115136143116123124elimii708965909764 SUTTnisinoo aqdM 21.SS bns aqdM78ahoqnis erit te zbesqz steb ils to69 bns ago 20.EI to adimil srit terit sonabilnos 2nistnoo aqdM 21.SS bnc agdMsgsavs arit ferli mislo a hoqnis orti roqque lovedni sonsbilnos 3028wolsd insmsisiz tomo artezorio SeqdM 2.55 al2.SS to sulavadi znistmoodi ezusaed mish ads toqque ton zaob2.55 to sulsy sdt anistroo ti sausosd mislo ert hoqquz 200bto sulav orit nisinoo ton zoob 11 saussed misbb adi hoqque son2.5% to suisv srit nistmoo ton 29ob Ji szussed mish sit hoqquz 290b 11.29 0

From the information, given that Thus, The value of slope is 1.0578 Obtain the value of…

Answered: 4b) The data shows a systolic and a…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 6PPS

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In a sample of cars reviewed by Motor Trend magazine, the mean horsepower (hp) was 150 hp with a standard deviation of 36 hp. The mean weight (lbs) was 2500 lbs with a standard deviation of 720 lbs. Assume the relationship between weight and horsepower is linear and has a correlation of r = +0.55. What is the slope of the linear regression model predicting weight (y-variable) from horsepower (x-variable)? using the value of the slope you found, now compute the intercept of the linear regression model predicting weight (y-variable) from horsepower (x-variable). 850 550 1150 250
The coefficient of determination of a set of data points is 0.87 and the slope of the regression line is -2.86. Determine the linear correlation coefficient of the data.
A pumpkin farmer wants to create a linear regression model to predict the circumference of a pumpkin (Y-variable) from its weight (X-variable). He samples 40 pumpkins from his pumpkin patch and the mean weight is 14 lbs with a standard deviation of 1 lb. The mean circumference is 50 inches with a standard deviation of 10 inches. The correlation between pumpkin weight and circumference is r = 0.50. What is the slope of the linear regression model predicting circumference from weight? 7 1 5 3
The correlation between first year college GPA and high school GPA is 0.683. If a simple linear regression was conducted to predict first year college GPA from high school GPA what does the correlation tell us about the fit of the model?
Four pairs of data yield r= 0.942 and regression equation y=3x.Also, y= 12.75. What is the best predicted value of y for x= 2.9?
We wish to determine if there is a correlation between the birth weight (in grams) of nine newborn infants and the length of their mothers’ stay (in days) in the hospital. The results of a correlation and regression analysis are indicated in the Excel output below. The mean birth weight of the newborn infants (the independent variable) was 3162.5 grams, and the mean length of their mothers’ stay in the hospital (the dependent variable) was 7 days. SUMMARY OUTPUT Regression Statistics Multiple R 0.862675 R Square 0.744208 Adjusted R Square 0.707666 Standard Error 6.02142 Observations 9 ANOVA df SS MS F Significance F Regression 1 738.4198 738.4198 20.36599 0.002756 Residual 7 253.8025 36.25749 Total 8 992.2222…
Consider a certain data set on shoulder girth and height of a group of individuals. The mean shoulder girth is 107.20 cm with a standard deviation of 10.37 cm. The mean height is 171.14 cm with a standard deviation of 9.41 cm. The correlation between height and shoulder girth is 0.67. Write the equation of the regression line for predicting height.
Find the correlation coefficient given the estimated regression equation = 25+6x and ² = .8754.
Exercise 2 Age B.P |(x) Age B.P (y) (y) |(x) 20 120 46 128 The following are the age (in years) and systolic blood pressure of 20 apparently healthy adults. 43 128 53 136 63 141 60 146 26 126 20 124 53 134 63 143 31 128 43 130 58 136 26 124 46 132 19 121 58 140 31 126 70 144 23 123
A researcher interested in explaining the level of foreign reserves for the country of Barbados estimated the following multiple regression model using yearly data spanning the period 2001 to 2016: FR=a+BOIL+YEXP+8FDI Where FR = yearly foreign reserves ($000's), OIL = annual oil prices, EXP = yearly total exports (S000's) and FDI = annual foreign direct investment (S000's). The sample of data was processed using MINITAB and the following is an extract of the output obtained: Predictor Coef StDev t-ratio p-value Constant 5491.38 2508.81 2.1888 0.0491 OIL 85.39 18.46 4.626 0.0006 ЕXP -377.08 112.19 0.0057 FDI -396.99 160.66 -2.471 ** s = 2.45 R-sq = 96.3% R-sq (adj) = 95.3% Analysis of Variance Source DF MS Regression 1991.31 663.77 ?? Error 12 77.4 6.45 Total 15
A researcher interested in explaining the level of foreign reserves for the country of Barbados estimated the following multiple regression model using yearly data spanning the period 2001 to 2016: FR=a+BOIL+YEXP+8FDI Where FR = yearly foreign reserves ($000’s), OIL = annual oil prices, EXP = yearly total exports (S000's) and FDI = annual foreign direct investment (S000's). The sample of data was processed using MINITAB and the following is an extract of the output obtained: Predictor Coef StDev t-ratio p-value Constant 5491.38 2508.81 2.1888 0.0491 OIL 85.39 18.46 4.626 0.0006 EXP -377.08 112.19 0.0057 FDI -396.99 160.66 -2.471 ** s = 2.45 R-sq = 96.3% R-sq (adj) = 95.3% Analysis of Variance Source DF MS F Regression 3 1991.31 663.77 ? ?? Error 12 77.4 6.45 Total 15 a) What is dependent and independent variables? b) Fully write out the regression equation c) Fill in the missing values ***, ***', ?'and ??' d) Hence test whether ß is significant. Give reasons for your answer. e) Perform…
For a group of children, mean age is 10 years with S.D. 2·5 years. The average height of the group is 125 cms with S.D. of 13 cms. The coefficient of correlation between age and height is 0-6. Write the equation of two regression lines and explain their use.

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