Based on the data from six students, the regression equation relating number of hours of preparation (x) and test score (y) is . the same data yield and what is the best predicted test score for a student who spent 10 hours preparing for the test?

The predicted test score for a student who spent 10 hours preparing for the test is 78.

Step-by-step explanation:

The regression equation is used to determine the predicted value of the response or dependent variable based on an explanatory or independent variable.

The general form of a regression equation is:

Here,

y = dependent variable

x = independent variable

α = intercept

β = slope

The regression equation relating number of hours of preparation (x) and test score (y) is:

Compute the value of y for x = 10 as follows:

Thus, the predicted test score for a student who spent 10 hours preparing for the test is 78.

answer: 2 and 1

step-by-step explanation: got this question

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15