In a study of the performance of a new engine design, the weight of 18 trucks (in tons) and the top speed (in mph) were recorded. a regression line was generated and shown to be an appropriate description of the relationship. the results of the regression analysis are below. depend variable: top coefficient3.2210.5480 s. e. of coeff5.0760.1056 t-ratio0.635.19 prob0.5350.000r squared = 67.7% r squared (adjusted) = 60.4%s = 5.754 with 18 - 2 = 16 degrees of freedompart a: provide the regression equation based off the analysis provided & explain it in context. (2 points)part b: list the conditions for inference that need to be verified. assuming these conditions have been met, does the data provide convincing evidence of a relationship between weight and top speed? (4 points)part c: assuming all conditions for inference have been verified, determine a 95% confidence interval estimate for the slope of the regression line. (4 points)

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

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step-by-step explanation:

the answer will be b x² +x-1

step-by-step explanation: