Question
Part A) Investigate the relationship between pulse rate (in beats per minute) and systolic blood pressure (the top number in a blood pressure reading, measured
Part A) Investigate the relationship between pulse rate (in beats per minute) and systolic blood pressure (the top number in a blood pressure reading, measured in of mercury) for patients at the student health center. Please choose the correct graph that visualises the relationship between these two variables.
A) Scatterplot
B) Side-by-side boxplots
C) Histogram
D) Bar chart
E) Pie chart
F) Side-by-side bar chart
G) Segmented bar chart
H) Dotplot
Part B) A student working an independent research project wants to investigate if there is an association between the amount of sleep someone gets and their body mass index (BMI) - an indicator of body fatness. For a sample of 45 students, she records their BMI and the average amount of sleep they get on weeknights over a two-week period.
What would it mean for average amount of sleep and BMI to be positively correlated?
A. It would mean that the more sleep individuals get, the higher their BMI tends to be.
B. It would mean that the less sleep individuals get, the higher their BMI tends to be.
C. It would mean that the lower their BMI tends to be, the more sleep individuals get.
D. The positive correlation is impossible to occur between these two variables.
E. It would mean that the more sleep individuals get, the lower their BMI tends to be.
Part C) A quantitatively savvy, young couple is interested in purchasing a home in northern New York. They collected data on 48 houses that had recently sold in the area. They want to predict the selling price of homes (in thousands of dollars) based on the size of the home (in square feet).
The regression equation is Price (in thousands) = 17.1 + 0.0643 Size (sq. ft.)
Predictor | Coef | SE Coef | T | P |
Constant | 17.06 | 24.59 | 0.69 | 0.491 |
Size (sq. ft.) | 0.06427 | 0.01224 | 5.25 | 0.000 |
S = 48.5733 R-Sq = 37.5% R-Sq(adj) = 36.1%
Predicted Values for New Observations
Size (sq. ft.) | Fit | SE Fit | 95% CI | 95% PI |
2000 | 145.61 | 7.07 | (131.38, 159.83) | (46.80, 244.41) |
Interpret the slope in this regression model.
A. For an increase of 1 square foot in the size of a recently sold house, the predicted selling price increases by $17.10.
B. For an increase of $1,000 in selling price, the predicted size of the house increases by 64.27 square feet.
C. For an increase of $1,000 in selling price, the predicted size of the house increases by 17.1 square feet.
D. For an increase of 1 square foot in the size of a recently sold house, the predicted selling price increases by $64.27
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