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S) Which of the following scatterplots shows data with the highest correlation b

ID: 3314701 • Letter: S

Question

S) Which of the following scatterplots shows data with the highest correlation between the explanatory and response variables? A) B) 65 45 40 50 60 70 C) D) 65 40 40 45 50 55 60 Use the following information to answer the question. A random sample of 30 married couples were asked to report the height of their spouse and the height of their biological parent of the same gender as their spouse. The output of a regression analysis for predicting spouse height from parent height is shown. Assume that the conditions of the linear regression model are satisfied. Regression Analysis Spouse versus Parent The regression equation is spouse = 48.40 + 0.25 parent Predictor: Constant Parameter Estimate: 48.398 Parameter Estimate: 0.247 Standard Error: 39.695 T-statistic: 1.219 Predictor: Parent Standard Error: 0.566 T-statistic: 0.437 P-value; 0.680 p-yalue: 0.277 S=7.794899045 R-sq 036858791 r=0.1919864344 6) What is the slope of the regression line? Choose the statement that is the correct interpretation of the slope in context. A) The slope is 0.25. On average, for each 0.25 inches taller a parent is, the spouse is about 1 inch taller, in B) The slope is 48.40. On average, for each inch taller a parent is, the spouse is about 48.40 inches taller, in C) The slope is 0.25. On average, for each inch taller a parent is, the spouse is about 0.25 inches taller, in the D) The slope is 48.40. On average, for each inch taller a parent is, the spouse is about 0.25 inches taller, in the sample. the sample. sample the sample

Explanation / Answer

5)
The scatter plot in graph A shows the appropriate scatterplots such that data with the highest correlation between the explanatory and response variable.

This is because, the output creates approximate straight line compared to others.

6)
The slope is 0.25, On average, for each inch taller a parent is, the spouse is about 0.25 inch taller, in the sample

Option (C)