SOLUTION: A school administrator wanted to determine the relationship between hours studied by students to the test scores. The following data was gathered. Based on the data, predict the te

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Question 823822: A school administrator wanted to determine the relationship between hours studied by students to the test scores. The following data was gathered. Based on the data, predict the test score if a student studied 4.5 hours.
Hours Studied Test Score
5.2 220
5.5 227
6 259
5.9 210
5.8 224
6 215
5.8 231
5.6 268
5.6 239
5.9 212
5.4 410
5.6 256
5.8 306
5.5 259
5.3 284
5.3 383
5.7 271
5.5 264
5.7 227
5.3 263
5.9 232
5.8 220
5.8 246
5.9 241
Coefficient (b1) -98.94437421 816.8185841 Intercept Coefficient(b0)
Standard Error 38.74829673 219.4387808 Intercept Standard Error
R Square 0.228623432 44.49028967 Standard Error
F 6.520441133 22 Residual df
Regression MS 12906.46908 43546.48925 Residual MS

Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website!
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perform a linear regression over the sample data:
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5.2 220
5.5 227
6.0 259
5.9 210
5.8 224
6.0 215
5.8 231
5.6 268
5.6 239
5.9 212
5.4 410
5.6 256
5.8 306
5.5 259
5.3 284
5.3 383
5.7 271
5.5 264
5.7 227
5.3 263
5.9 232
5.8 220
5.8 246
5.9 241
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copy and paste the above sample data in to this linear regression solver:
https://sooeet.com/math/linear-regression.php
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alpha (y-intercept) = 816.818584
beta (slope) = -98.9443742
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slope-intercept form of the regression line:
y(x) = (-98.9443742)x + 816.818584
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answer:
y(4.5) = (-98.9443742)(4.5) + 816.818584
y(4.5) = 371.5689
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Solve and graph linear equations:
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php