Please answer all of the following question correctly, showing all work and step

Question

Please answer all of the following question correctly, showing all work and steps to find the solution.

The height of a patient is useful for a variety of medical purposes, such as estimating tidal volume of someone in intensive care who requires artificial ventilation. However, it can be difficult to make an accurate measurement if the patient is confused, unconscious, or sedated. And measurement of height while an individual is lying down is also not straightforward. In contrast, ulna length measurements are generally quick and easy to obtain, even in chair- or bed-bound patients. The accompanying data on x-ulna length (cm) and y- height (cm) for males older than 65 was read from a graph in the article "Ulna Length to Predict Height in English and Portuguese Patient Populations".t x 22.5 22.8 22.8 23.3 23.3 24.4 25.0 y 158 155 156 160 161 162 164 x 25.0 25.0 25.0 26.0 26.0 26.8 28.2 y 166 167 170 166 173 178174 Summary quantities include D4=346.1, =2310, Ser= 36.463571, Sr,-137.60, Syy=626.00. (a) obtain the equation of the estimated regression line. (Round your numerical values to three decimal places.) y= 1003.947 3.774x Interpret the slope O The slope is the proportion of the total variation in ulna length that can be explained by a linear regression model with height as the predictor. O The slope is the probability that the regression model fits the data The slope is the increase in height due to an increase in one unit of ulna length O The slope is the proportion of the total variation in height that can be explained by a linear regression model with ulna length as the predictor. O The slope is the increase in ulna length due to an increase in one unit of height. (b) Calculate the coefficient of determination. (Round your answer to three decimal places.) Interpret the coefficient of determination O The coefficient of determination is the proportion of the total variation in ulna length that can be explained by a linear regression model with height as the predictor O The coefficient of determination is the increase in ulna length due to an increase in one unit of height. O The coefficient of determination is the probability that the regression model fits the data O The coefficient of determination is the proportion of the total variation in height that can be explained by a linear regression model with ulna length as the predictor. O The coefficient of determination is the increase in height due to an increase in one unit of ulna length (c) Carry out a test of model utility State the appropriate null and alternative hypotheses. Ha: 1 > 0 Calculate the test statistic. (Round your answer to two decimal places.) What can be said about the P-value for the test? O P-value>0.100 O 0.050 P-value

Explanation / Answer

b)

i)here we know that coefficient of determination is r^2.

so our value of r is 0.911. so,our coefficient of determination is 0.829.

ii) coefficient of determination is the increase in height due to one unit of increse in ulna length.

c)

i)the statistic is;

ii)f=58.37

iii)here p value is <0.001.

iv)reject H(0);this model does satisfy a useful relationship between ulna length and height.

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