The equation for the regression line modeling the relationship between test scores and sleep time is ???̂? ????? = 63 + 3.4h???? ?????, with r=0.77. If a student sleeps just 3 hours before the exam, what score are they expected to get? Write your answer in a complete sentence.
Our regression equation is:
Test score = 63 + 3.4*hours of sleep
So the slope coefficient is 3.4 (ie when hours of sleep increases by 1, test score increases by 3.4)
Intercept coefficient is 63, ie when hours of sleep is 0, test score will still be 63.
If we put, hours of sleep = 3 in the above equation, we get, expected test score = 63 + 3.4*3 = 73.2
The equation for the regression line modeling the relationship between test scores and sleep time is...
What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time Score 3 10 15 512 015 58 75 89 89 77 79 54 96 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? - 0 H: 70 (Round to four The p-value is: decimal places) c. Use a...
What is the relationship between the amount of time statistics students study per week and their test scores? The results of the survey are shown below. Time 13 10 9 9 2 10 12 8 Score 84 83 90 76 74 86 99 85 x-values y-values Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are: H0:H0: ? r ρ μ == 0 H1:H1: ? μ ρ r ≠≠ 0 The p-value is: (Round to...
What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time Score 3 67 13 95 6 15 77 89 13 100 3 66 7 63 11 79 1 59 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? D = 0 H: ? *0 The p-value is: (Round...
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What is the relationship between the amount of time statistics students study per week and their final exam scores! The results of the survey are shown below The ruil and alternative hypotheses for correlation are The preluet: 1.0024 Round to four decimal places c. Use a level of sigrice -0.05 to state the conclusion of the hypothesis test in the context of There la statistically significant evidence la conclude that there a carrodation between the...
What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time 12 0 3 14 14 9 0 13 10 Score 95 60 73 85 86 89 65 97 93 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are: H0:H0: ? μ ρ r == 0 H1:H1: ? ρ μ r ≠≠ 0 The p-value is: (Round...
What is the relationship between the amount of time statistics students study per week and their test scores? The results of the survey are shown below. Time 16 14 15 6 14 15 6 Score 100 89 100 68 99 100 78 x-values y-values Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are: H0:H0: ? ρ r μ == 0 H1:H1: ? μ r ρ ≠≠ 0 The p-value is: (Round to four decimal...
58. The equation of a regression line is Y = 20 +5X where X = hours studied and Y = exam score. Interpret the slope. a) As study time increases by 5 hours, exam score increases by 20 points on average. b) As study time increases by 1 hour exam score increases by 5 points on average. c) As study time increases by 5 hour exam score increases by 1 point on average. d) We expect a student who does...
Q1) The relationship between sleep hours and overall happiness level on the next day was estimated as below in a linear format. (Happiness level is measured through a five-point scale: 1 = Extremely unhappy, 5 = Extremely happy) Overall happiness level = 0.27 * Sleep hours + 2.34 (The p-value for the coefficient of Sleep hours is 0.02.) How can the relationship between overall happiness level and sleep hours be interpreted? A) As a person sleeps 1 more hour, his...
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