Answered: d) Given that R - 0.07, what is the… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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Question

I only need help with questions D and E

a) Is there strong evidence that taller men marry taller women? State the hypotheses
and include any information used to conduct the test.
The null and alternative hypothesis:
Ho: B1 = 0 vs HA: P1 >0
Ho: A0 -0 vs HA: B0 > 0
Ho: B1 = 0 vs HA:B1 +0
Hg: B0 = 0 vs HA: B0 +0
Conclusion:
The data provide convincing evidence that wives' and husbands' heights are
negatively correlated.
The data do not provide convincing evidence that wives' and husbands' heights
are positively correlated.
The data do not provide convincing evidence that wives' and husbands' heights
are negatively correlated.
The data provide convincing evidence that wives' and husbands' heights are
positively correlated.
b) Write the equation of the regression line for predicting wife's height from husband's
height and round to 4 decimal places.
y-43.5755
husband's height
c) Interpret the slope and intercept in context.
e+ 0.2863
Slope: For each additional inch in husbands' height, the model predicts the
average wives' height to be 0.2863 additional inches. Intercept: Husbands who
are 0 inches tall are expected to have wives who are 43.5775 inches tall on
average.
Slope: Wives who are 0 inches tall are expected to have husbands who are
0.2863 inches tall on average. Intercept: For each additional inch in wives
height, the model predicts the average husband's height to be 43.5775 additional
inches.
Slope: For each additional inch in wives' height, the model predicts the average
husbands' height to be 0.2863 additional inches. Intercept: Wives who are 0
inches tall are expected to have husbands who are 43.5775 inches tall on
average.
Slope: Husbands who are 0 inches tall are expected to have wives who are
0.2863 inches tall on average. Intercept: For each additional inch in husbands
height, the model predicts the average wives' height to be 43.5775 additional
inches.
d) Given that R- 0.07, what is the value of R for this data set? Round to 3 decimal
places
e) You meet a married man from Britain who is 59" (69 inches). What would you
predict his wife's height to be? Round to 4 decimal places.

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