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.

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step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.