Can someone please show me the solutions for a, b, c, and d? thanks. Listed belo

Question

Can someone please show me the solutions for a, b, c, and d? thanks.

Listed below are placement test scores for students with their corresponding grade they received in a math course. For the following data use the calculator to create a linear regression model where grade is the response variable and placement test score is the predictor variable. Assign numerical values for the grades as follows: A-1, B-2, C-3, D-4, F-5 Placement Test 80 Score Grade 75 60 80 60 What is the equation of the linear regression model? Round the coefficient values to four decimal places. Using a 0.05 significance level, compare this value with the p-value given by the calculator and determine whether there is a correlation. What is the correlation coefficient? Using your equation for the linear regression model, what grade should one expect with a placement test score of 72? Round to the nearest whole number and then convert this to its corresponding letter grade. a. b. c. d.

Explanation / Answer

a)

Grade ^ = 3 {as b1 = 0}

b)

p-value = 1 , p-value > 0.05

hence we reject the null , there is no correlation

c) r = 0

d)

grade^ = 3

hence C

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SUMMARY OUTPUT Regression Statistics Multiple R 0 R Square 0 Adjusted R Square -0.333333333 Standard Error 1.825741858 Observations 5 ANOVA df SS MS F Significance F Regression 1 0 0 0 1 Residual 3 10 3.333333 Total 4 10 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 3 6.377664398 0.470392 0.670160617 -17.2966 23.29657 -17.2966 23.29657 Placement test -5.41733E-18 0.089087081 -6.1E-17 1 -0.28351 0.283515 -0.28351 0.283515

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