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Sophia stats milestone UNIT 4 MILESTONE 4 | 17 questions answered correctly

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Sophia stats milestone UNIT 4 MILESTONE 4 | 17 questions answered correctly For English, the mean is 6.4 and the standard deviation is 2.0. For Science, the mean is 7 and the standard deviation is... 1.6. Using the formula below or Excel, find the correlation coefficient, r, for this set of scores. Answer choices are rounded to the nearest hundredth. 0.50 0.23 0.05 0.42 RATIONALE In order to get the correlation, we can use the formula: Correlation can be quickly calculated by using Excel. Enter the values and use the function "=CORREL(". CONCEPT Correlation 2 This scatterplot shows the number of hours a student slept every night and his or her grade point average. The equation for the least-squares regression line to this data is: ŷ = 0.375x + 1.33. What is the predicted GPA for a student who sleeps 2.5 hours per day? Answer choices are rounded to the hundredths place. 2.64 2.46 2.08 2.27 RATIONALE In order to get the predicted GPA when the hours of sleep is equal to 2.5, we simply substitute the value 2.5 in our equation for x. So we can note that: CONCEPT Predictions from Best-Fit Lines 3 Data for price and thickness of soap is entered into a statistics software package and results in a regression equation of ŷ = 0.4 + 0.2x. What is the correct interpretation of the slope if the price is the response variable and the thickness is an explanatory variable? The price of the soap decreases by $0.20, on average, when the thickness increases by 1 cm. The price of the soap increases by $0.40, on average, when the thickness increases by 1 cm. The price of the soap decreases by $0.40, on average, when the thickness increases by 1 cm. The price of the soap increases by $0.20, on average, when the thickness increases by 1 cm. RATIONALE When interpreting the linear slope, we generally substitute in a value of 1. So we can note that, in general, as x increases by 1 unit the slope tells us how the outcome changes. So for this equation we can note as x (thickness) increases by 1 cm, the outcome (price) will increase by $0.20 on average. [Show More]

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